The wavelength of the electromagnetic radiation exists utilized 2.42 pm.
What is meant by electromagnetic radiation?Waves-based radiation that has an electric and magnetic field. It derives from both natural and artificial sources. From low energy to high energy, electromagnetic radiation can have different intensities. It consists of x-rays, gamma rays, microwaves, infrared light, visible light, ultraviolet light, and radio waves.
The wavelength of radiation used to annihilate a positron and an electron is required.
The wavelength of the electromagnetic radiation exists utilized [tex]$\mathbf{2 . 4 2} \mathbf{~ p m}$[/tex].
The mass of positron and electron are equal
[tex]$$\begin{aligned}& \mathrm{m}=\text { Mass }=\frac{0.000549}{6.022 \times 10^{26}}=9.11 \times 10^{-31} \mathrm{~kg} \\& \mathrm{c}=\text { Speed of light }=3 \times 10^8 \mathrm{~m} / \mathrm{s} \\& \mathrm{h}=\text { Planck's constant }=6.626 \times 10^{-34} \mathrm{Js}\end{aligned}$$[/tex]
Total energy in the collision is
[tex]$$\begin{aligned}& E_T=m c^2+m c_2 \\& \Rightarrow E_T=2 m c^2 \\& \Rightarrow E_T=2 \times 9.11 \times 10^{-31} \times\left(3 \times 10^8\right)^2 \mathrm{~J}\end{aligned}$$[/tex]
Energy released per photon is
[tex]$$\begin{aligned}& E=\frac{E_T}{2} \\& \Rightarrow E=\frac{2 \times 9.11 \times 10^{-31} \times\left(3 \times 10^8\right)^2}{2} \\& \Rightarrow E=9.11 \times 10^{-31} \times\left(3 \times 10^8\right)^2 \mathrm{~J}\end{aligned}$$[/tex]
Energy is given by
[tex]$$\begin{aligned}& E=\frac{h c}{\lambda} \\& \Rightarrow \lambda=\frac{h c}{E} \\& \Rightarrow \lambda=\frac{6.626 \times 10^{-34} \times 3 \times 10^8}{9.11 \times 10^{-31} \times\left(3 \times 10^8\right)^2} \\& \Rightarrow \lambda=2.42 \times 10^{-12} \mathrm{~m}=2.42 \mathrm{pm}\end{aligned}$$[/tex]
The wavelength of the electromagnetic radiation exists utilized 2.42 pm.
The complete question is:
A positron and an electron annihilate each other upon colliding, thereby producing energy in the form of two gamma rays. Assuming that both gamma rays have the same energy (since both particles have the same mass), calculate the wavelength of the electromagnetic radiation used in pm. (1 pm = 10⁻¹² m; mass of electron (amu) = 0.000549)
To learn more about electromagnetic radiation refer to:
https://brainly.com/question/1408043
#SPJ4
Unit 7: right triangles and trigonometry 7-5H
Applying the trigonometric ratios, the values of x are:
1. x = 7.3
2. x = 33.3
3. x = 21.3
4. x = 31.9
5. x = 25.6
6. x = 11.0
7. x = 41.8°
8. x = 64.2°
What are the Trigonometric Ratios?These ratios include:
sin ∅ = opp./hyp.tan ∅ = opp./adj.cos ∅ = adj./hyp.1. ∅ = 63
adj. = x
hyp. = 16
Therefore,
cos 63 = x/16
x = cos 63 * 16
x = 7.3
2. ∅ = 39
opp. = 27
adj. = x
Therefore,
tan 39 = 27/x
x = 27/tan 39
x = 33.3
3. ∅ = 49
adj. = 14
hyp. = x
Therefore,
cos 49 = 14/x
x = 14/cos 49
x = 21.3
4. ∅ = 15
adj. = x
hyp. = 33
Therefore,
cos 15 = x/33
x = cos 15 * 33
x = 31.9
5. ∅ = 52
opp. = x
adj. = 20
Therefore,
tan 52 = x/20
x = tan 52 * 20
x = 25.6
6. ∅ = 27
hyp. = x
opp. = 5
Therefore,
sin 27 = 5/x
x = 5/sin 27
x = 11.0
7. ∅ = x
opp. = 4
hyp. = 6
Therefore,
sin x = 4/6
x = sin^(-1)(4/6)
x = 41.8°
8. ∅ = x
adj. = 14
opp. = 29
Therefore,
tan x = 29/14
x = tan^(-1)(29/14)
x = 64.2°
Learn more about the trigonometric ratios on:
https://brainly.com/question/10417664
#SPJ1
shari has twelve cards, numbered from one to twelve. she randomly draws three cards with replacement. what is the probability that shari draws an even card and then two odd cards?
Shari has twelve cards, numbered from one to twelve. She randomly draws three cards with replacement. What is the probability that Shari draws an even card and then two odds.
a. 3/8
b. 1/16
c. 1/4
d. 1/8
I think the answer is 3/8.
How to solve this question with vertex formula
The equation of the parabola is y = 2 ( x + 1/4 )² - 49/8 and the vertex of the parabola is ( -1/4 , -49/8 )
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the equation be represented as A
Now , the value of A is
y = 2x² + x - 6 be equation (1)
On simplifying the equation , we get
On factorizing the x² coefficient , we get
y = 2 ( x² + ( 1/2 )x ) - 6
Adding and subtracting ( 1/16 ) inside the parentheses , we get
y = 2 ( x² + ( 1/2 )x + 1/16 - 1/16 ) - 6
On simplifying the equation , we get
y = 2 ( x² + ( 1/2 )x + 1/16 ) - 6 - 1/8
The trinomial inside the brackets is a perfect square
y = 2 ( x + 1/4 )² - 49/8
Now , the equation of the parabola is given by y = a ( x - h )² + k ,
where ( h , k ) is the vertex
So , y = 2 ( x + 1/4 )² - 49/8
Hence , the vertex of the parabola is ( -1/4 , -49/8 )
To learn more about parabola click :
https://brainly.com/question/24042022
#SPJ1
7 Sound intensity model: L = 10 log L = loudness, in decibels (dB); I = sound intensity, in watts/m2; 10 = 10-12 watts/m2 The loudness of a jack hammer is 96 dB. Its sound intensity is about.
The loudness of a compactor is 94 dB. Its sound intensity is about.
with solution please thank you
The sound intensity of the pile driver is 39.6 times that of jack hammer as per given data.
As given in the question,
L represents the loudness in decibels(dB)
I = sound intensity in watts/m²
Loudness of pile driver = 112dB
In terms of sound intensity it is equal to = (112 / 10)
= 11.2
Sound intensity in power of 10
10^(11.2) = I / 10^(-12)
⇒ I = 10^(11.2)× 10^(-12)
⇒ I = 10^( 11.2 - 12)
⇒ I = 10^(- 0.8)
⇒ I = 0.15848
⇒ I = 0.1585
Relation between the sound intensity of pile driver and th jack hammer is given by
Sound intensity of jack hammer = 0.004
Sound intensity of pile driver = 0.1585
Intensity = 0.1585 / 0.004
= 39.6 ( nearest tenth digit )
Therefore, the sound intensity of pile driver is 39.6 times that of jack hammer.
The above question is incomplete, the complete question is :
L = loudness, in decibels (dB); I = sound intensity, in watts/m2; I0 = 10−12 watts/m2
The loudness of a jack hammer is 96 dB. Its sound intensity is about 0.004.
The loudness of a compactor is 94 dB. Its sound intensity is about 0.0025.
The sound intensity of the jack hammer is about 1.6 times the sound intensity of the compactor.
The loudness of a pile driver is 112 dB. About how many times the sound intensity of the jackhammer is the sound intensity of a pile driver? Round to the nearest ten.
Learn more about Sound intensity here
brainly.com/question/30101270
#SPJ4
A cube-shaped box has a surface area of 384 cm2. Jason stacks 12 of these boxes to make a display for his store. What is the total volume in cubic centimeters of the boxes in the display?
The total volume in cubic centimeters of the boxes in the display is 4608√6.
Therefore the answer is 4608√6.
The formula for finding surface area of a cube of side a is
A = 4a²
The formula for finding volume of a cube of side a is
V = a³
Given that surface area of a cube is 384 cm², that is
4a² = 384 cm²
a² = (384/ 4) cm²
Therefore, a = 4√6 cm
Now volume of a single cube can be found by
V = a³
V = (4√6 cm)³
V = 384√6 cm³
Therefore volume of 12 such cubes is
= 12V
= 12×384√6 cm³
= 4608√6 cm³
To know more on cube
https://brainly.com/question/13789496
#SPJ4
What is K in the equation y?
The amount of the constant k is known as the "constant of proportionality".
What is K in an equation?Given any position, we can calculate k by dividing the y-coordinate by the x-coordinate because k is constant (the same for every point). Where k is the constant of variation, y = kx.
We refer to a relationship between two variables as having a direct relationship when the equation for the relationship is of the form y = kx, where k is a constant. The "constant of proportionality" is the value of the constant k.
For some constant k, often known as the proportionality or variational constant, y=kx. (Some textbooks will refer to direct variation as "y varies as x," "y varies proportionally as x," or "y is directly proportional to x.
To learn more equation refer to:
https://brainly.com/question/29174899
#SPJ4
Who invented logarithm?
The Scottish mathematician John Napier reported his findings on logarithms in 1614.
The comparison of arithmetic and geometric series predicted the development of logarithms. He was there to aid with the multiplication of quantities known as sines at the time.
The value of the entire sine was equal to the length of the hypotenuse in a right-angled triangle with a hypotenuse of, say, 107 units. He provided a definition in terms of relative rates.
Because both motions are equally spaced apart in time and have an equal shift at the beginning, the logarithm of any sine is a number that comes very close to expressing the line that increased equally over the course of time while the line of the entire sine decreased proportionately into that sine.
To learn more about logarithm link is here
brainly.com/question/29106904
#SPJ4
Solve.
12. Which team used the greatest percent of water in their recipe?
13. Some people say that the ideal recipe for sand sculptures contains 88.9%
sand. Which team's recipe is closest to the ideal recipes?
Their recipe contains 88.6% sand.
Which team's formula comes the closest to being ideal?Team 1 used the greatest percent of water in their recipe with a total of 48.3%. Team 2’s recipe had 45.5% water, while Team 3’s recipe had a total of 41.2%.When looking at the recipe closest to the ideal 88.9% sand, Team 3's recipe is the closest. Team 3's recipe contains a total of 87.7% sand, while Team 1's recipe contains 84.6% and Team 2's recipe contains 82.2%.This indicates that Team 3 used the most efficient ratio of sand to water, with the closest recipe to the ideal 88.9% sand. Team 3's recipe also used the least amount of water, indicating that they were able to achieve the desired consistency and strength of the sand sculpture without having to use too much water.Overall, Team 3 was the most successful in creating a recipe closest to the ideal sand sculpture recipe. Their recipe was the least wasteful of water, while still being able to achieve the desired consistency and strength of the sand sculpture.To learn more about The theory of ideal sand sculpture recipes refer to:
https://brainly.com/question/14046121
#SPJ1
find the midpoint of the line segment.
Answer:
(-3,0)
Step-by-step explanation:
Step-by-step explanation:
Bottom line point
( -5, -3 )
( -1, 3 )
Midpoint:
( -3, 0 )
Gi sells televisions. He earns a fixed amount for each television and an additional $15 if the buyer gets an extended warranty. If Gi sells 19 televisions with extended warranties, earns 1,425. How much is the fixed amount Gi earns for each television?
PLEASE HELP ME WITH THIS QUESTION
Answer:
$60
Step-by-step explanation:
19 times 15 = 285
1425-285=1140
1140 divided by 19 = 60
To check: Divide 1425 by 75 to get 19.
Tristan goes to a restaurant and the subtotal on the bill was
x
x dollars. A tax of 7% is applied to the bill. Tristan decides to leave a tip of 16% on the entire bill (including the tax). Write an expression in terms of
x
x that represents the total amount that Tristan paid
The expression for the total amount Tristan paid is 1.1342x.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Total bill = $x
Tax = 7%
This means,
= (7/100)x
= 0.07x
Tip = 16%
This means,
= (6/100) x (x + 0.07x)
= 0.06 x (1.07x)
= 0.0642x
The total amount paid.
= total bill + tax + tip
= x + (7% of x) + 16% of (x + 7% of x)
= x + 0.07x + 0.0642x
= 1.1342x
Thus,
The total amount paid is 1.1342x.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
Jerry and Stella are working on an art project together. Jerry has 16 more markers than Stella.
The equation given below shows this relationship, where u represents the number of markers Jerry has, and t represents the number of markers Stella has.
The number of markers that Stella has would be = 27 markers
How to calculate the number of markers?The number of markers owned by Jerry = U
The number markers owned by Stella = t +16
If U = 43
t = X
That is, 43= t + 16
Make t the subject of formula;
t = 43-16
t = 27
Learn more about subtraction here:
https://brainly.com/question/28467694
#SPJ1
Complete question;
Jerry and Stella are working on an art project together. Jerry has 16 more markers than Stella. The equation given below shows this relationship, where u represents the number of markers Jerry has, and t represents the number of markers Stella has. U = t + 16 If Jerry has 43 markers, how many markers does Stella have? Show your work
A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 4, 14, 15, 5, and 1 respectively.
Using percentages, what are the relative frequencies of the five classes?
So the relative frequencies of the five classes are:
A: 10.25%
B: 35.89%
C: 38.46%
D: 12.82%
F: 2.56%
What is the Frequency?
Frequency refers to the number of times a specific event or value occurs within a set of data. It is a measure of how often something happens or occurs.
A relative frequency is a measure of how often a certain event or value occurs within a set of data, expressed as a proportion or percentage of the total number of events or values.
To find the relative frequencies of the five classes in percentage, you need to divide the frequency of each class by the total number of observations, and then multiply by 100 to express the result as a percentage.
The total number of observations can be found by adding up the frequencies of all five classes: 4 + 14 + 15 + 5 + 1 = 39
To find the relative frequency of class A, divide the frequency of class A (4) by the total number of observations (39) and then multiply by 100: 4/39 * 100 = 10.25%
Similarly, you can find the relative frequencies for the other classes:
Class B: 14/39 * 100 = 35.89%
Class C: 15/39 * 100 = 38.46%
Class D: 5/39 * 100 = 12.82%
Class F: 1/39 * 100 = 2.56%
So the relative frequencies of the five classes are:
A: 10.25%
B: 35.89%
C: 38.46%
D: 12.82%
F: 2.56%
It's worth noting that the sum of all relative frequencies should be equal to 100%.
To learn more about Frequency, Visit
https://brainly.com/question/254161
#SPJ1
A poster at the train station shows the number of miles to different stations and the time it takes for the train to travel there.
Distance to Stations
Time in Minutes
(x) Distance in Miles
(y)
24 18
44 33
76 57
96 72
What is the constant of proportionality for this relationship?
the constant of proportionality for this relationship is 3/4
What is proportionality?the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
Given, A poster at the train station shows the number of miles to different stations and the time it takes for the train to travel there.
Time in Minutes(x) Distance in Miles(y)
24 18
44 33
76 57
96 72
From the general formula of constant of proportionality
constant of proportionality = y/x
constant of proportionality (k) = 18/24
constant of proportionality (k) = 3/4
Therefore, 3/4 is the constant of proportionality for this relationship.
Learn more about proportionalities here:
https://brainly.com/question/3254974
#SPJ1
Find the slope of the line graphed below.
Answer:
-4/4 = -1
Step-by-step explanation:
Answer: -4/4
Step-by-step explanation:
m = slope
(x1, y1) = coordinates of first point in the line
(x2, y2) = coordinates of second point in the line
-3,-1 1,-5 are the corrdinates
(-5) - (-1) = -4
1 - (-3) = 4
A bicyclist starts from rest and accelerates along a straight path to a speed of 12.15 m/s in a time of 4.5 seconds. What is the bicyclist’s acceleration in m/s2?
A. .37
B. 54.7
C. 2.7
D. 6.8
The bicyclist’s acceleration is 2.7 m/s²
the correct answer is an option (C)
We know that the acceleration is nothing but the change in velocity over the change in time.
A = Δv / Δt
where, Δv = change in velocity
Δt = change in time
A = acceleration
Here, we have been given a bicyclist starts from rest and accelerates along a straight path to a speed of 12.15 m/s in a time of 4.5 seconds.
So, Δv = 12.15 m/s and Δt = 4.5 seconds
Using above formula of the acceleration would be,
A = Δv / Δt
A = 12.15 / 4.5
A = 2.7 m/s²
Learn more about the formula here:
https://brainly.com/question/30098455
#SPJ4
Javier opens a savings account with a deposit of $75 and begins making weekly contributions. After 1 week he has $90 saved, and after 2 weeks he has $105 saved.
Answer: what is the question?
Step-by-step explanation:
What can I change in this equation to make it true
x-6y=4
Answer: y=1/6x−2/3
Step-by-step explanation:
-6y= x-4
/-6 . /-6
y= 1/6x-2/3
*somethin like this*
For what value of k will roots of the equation be real and equal if 9x 2 3kx 4 0?
A quadratic equation 9x² + 3kx + 4 = 0 has equal roots. Thus, the values of k are -4, and +4.
What is quadratic equation?The equation of the second degree is a quadratic equation. This indicates that it contains a phrase that is squared, at least once. ax² + bx + c = 0, which uses constants or numerical coefficients for the variables a, b, and c, is one of the classic formulae for solving quadratic equations. Unknown variable 'x' is used here.
The given problem can be solved using the concepts of quadratic equations.
1. The given quadratic equation is 9x² + 3kx + 4 = 0.
2. For an equation to have equal roots the value of the discriminant is 0,
=> The discriminant of a quadratic equation ax² + b x + c = 0 is given by the formula,
=> Discriminant ( D ) = [tex]\sqrt{b^2 - 4ac}[/tex]
=> For equal roots D = 0.
3. Substitute the values in the above formula:
⇒ [tex]\sqrt{(3k)^2 - 4*9*4}[/tex] = 0
⇒ [tex]{9k^2 - 144}[/tex] = 0
⇒9k² = 144
⇒ k² = 16
⇒ k = ± 4
Therefore, the values of k are -4, and +4.
To know more about quadratic equation refer to:
https://brainly.com/question/1214333
#SPJ4
determine whether the underlined number is a statistic or a parameter.
in a study of all 2462 seniors at a college, it is found that 55% own a vehicle.
choose the correct statement below.
a. statistic because the value is a numerical measurement describing a characteristic of a population
b. parameter because the value is a numerical measurement describing a charateristic of a sample
c. parameter because the value is a numerical measurement describing a characteristic of a population
d. statistic because the value is a numerical measurement describing a characteristic of a sample
Since the value is a numerical measurement representing a property of a sample, it is statistical.
Given that a sample of workers is chosen, and it is discovered that 55% of them possess a car.
Let's first clarify the distinction between a parameter and a statistic before moving on to the questions.
Parameters are numerical summaries of population statistics. However, statistics are numerical summaries of sample data.
Sample is a subset of the population; as such, it is just a small percentage of the whole population.
The percentage of the sample of employees in this case is 55%. Statistic refers to a numerical representation of data about a sample.
The value is statistical since it is a numerical measurement that describes a property of a sample.
For such more question on statistical
https://brainly.com/question/12150562
#SPJ4
how many right triangles with distinct sizes have all three vertices taken from the array of dots below? two triangles are to be considered distinct if their side lengths are not the same 3 lengths.
An infinite number of triangles can be drawn with any 3 dots. I choose these 3 dots.
how many right triangles with distinct sizes have all three vertices taken from the array of dots below?
Since there are three sides in triangle, there must be three points where these sides can meet, so all triangles have three vertices. Since a right triangle is a triangle, and all triangles have three vertices so a right triangle has three vertices.3 dots =84 combinations of 3 dots. However, not all combinations of 3 dots form triangles. If all 3 vertices fall on the same horizontal or vertical line, we get a straight line rather than a triangle.In logical argument and mathematical proof, the therefore sign, ∴, is generally used before a logical consequence, such as the conclusion of a syllogism. The symbol consists of three dots placed in an upright triangle and is read therefore.To learn more about triangle refers to:
https://brainly.com/question/17335144
#SPJ4
y + z = 4
y - z = 8
Step-by-step explanation:
the answer is in the photo
Bird Bath Your neighbor is moving a new bird bath to his triangular back yard.
He wants the bird bath to be the same distance from each edge of the yard. Where should your neighbor place the bird bath? Explain.
Answer:
The best place for your neighbour to put the bird bath would be at the centroid of the triangular yard. The centroid is the point where the three medians of a triangle meet, and it is also the point that is equidistant from all three sides of the triangle. This way the bird bath will be the same distance from each edge of the yard, which is what your neighbour wants. To find the centroid, your neighbour can first draw the medians of the triangle and then find their intersection point.
Calculating Volume Practice
In a shape or space, volume refers to the quantity that can be accommodated.
Exactly how is volume determined?It's a formula: V = lwh. six-faced solid object in three dimensions. an indication of an object's length. an indicator of an object's width.
In a shape or space, volume refers to the quantity that can be accommodated. Remember that volume is equal to the number of cubes that can completely occupy a space. Area is the number of squares that can cover a space (in square units) (cubic units). For calculating volume, each 3D shape has a formula.
In a shape or space, volume refers to the quantity that can be accommodated.
The complete question is,
In 7th grade mathematics, what is volume?
To learn more about volume refer to:
https://brainly.com/question/463363
#SPJ1
What is the inverse operation of log?
The inverse operation of log is antilog.
Mathematicians use the logarithm to express the inverse function of exponentiation. That is, the logarithm of a given number p is the exponent to which another fixed number, the base b, must be raised in order to obtain that number p. In the simplest case, the logarithm counts how many times the same factor appears in repeated multiplication.
The sum of the logarithms of two numbers says a and b, is the logarithm of the product of the two numbers. Both numbers must have the same base. In other words, this theorem is known as the “product rule for logarithms”.
The difference of the logarithms of two numbers, such as a and b, is equal to the logarithm of their division. Even in this case both numbers should have the same base. There is another name for this theorem, which is the “quotient rule for logarithms”.
Let f(x) = logₐx
y = logₐx
Now, to find the inverse of the function, swap the variables x and y.
x = logₐy
y = aˣ
Thus, the inverse operation of log is antilog.
To learn more about logarithms, visit brainly.com/question/30085872
#SPJ4
Which type of triangle is this triangle with length of sides 7 cm 8 cm and 9 cm? (a) Triangle with lengths of sides 7 cm, 8 cm and 9cm. (b) ABC with AB = 8.7 cm, AC = 7 cm and BC = 6cm. (c) PQR such that PQ = QR = PR = 5cm. (d) DEF with D = 90 degrees (e) XYZ with Y = 90 and XY = YZ (f) LMN with L = 30, M = 70 and N = 80.
So, option (a) is the correct answer.
(a) Triangle with lengths of sides 7 cm, 8 cm and 9cm is a right triangle. This is because the Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, 9^2 = 7^2 + 8^2, which is true, hence the triangle has a right angle.
(b) ABC with AB = 8.7 cm, AC = 7 cm and BC = 6cm can't be determined as it depends on the angles, as the sides are given but the angles are not.
(c) PQR such that PQ = QR = PR = 5cm is an equilateral triangle. This is because in an equilateral triangle all three sides are of equal length.
(d) DEF with D = 90 degrees can't be determined as only the angle is given, we need the length of the sides as well
(e) XYZ with Y = 90 and XY = YZ can't be determined as the angle and the sides are not enough information
(f) LMN with L = 30, M = 70 and N = 80 is not a triangle as the sum of two sides is less than the other side, hence the triangle inequality theorem is violated.
Therefore, Option (a) is the correct answer.
It's worth noting that a triangle can be defined by its three sides as well as by its three angles, but in any case, we need enough information to determine the type of triangle.
To learn more about Triangles
Visit; brainly.com/question/2773823
#SPJ4
Simplify the radical √√189².
O 3√2d
O 20³√3
Od√180
3d+√2a
Answer:
The first step is to simplify the double radical.
√√189² = √(189²) = √(189*189) = √(35281)
Now, we simplify the radical by finding the prime factorization of 35281:
35281 = 189² = (189)(189) = (363)(363) = (3²*63²)
So, we can simplify the radical as:
√35281 = √(3²63²) = 3√(63²) = 3√(6363) = 3√3969 = 3√(31323) = 3√(3²1323) = 3*63 = 189
Therefore, √√189² = √(189*189) = √35281 = 189
Step-by-step explanation:
Two different plants that grow each month at different rates are represented by the functions f(x) and g(x). In what month does the height of the f(x) plant exceed that of the g(x) plant? month (x) f(x) = 3x g(x) = 5x + 12 1 3 17 2 9 22.
In the 4th month, the height of the f(x) plant exceeds that of the g(x) plant. This can be solved using the concept of polynomials.
What is polynomials?When exponents, constants, and variables are joined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable).
Exponents that may be added, subtracted, or multiplied are a part of algebraic expressions called polynomials.Different forms of polynomials exist. linear equations with monomial coefficientsa polynomial with a single term called a monomial.Binomial quadratic equation (A binomial is a polynomial with two, unlike terms).Month (x)
f(x) = 3x / g(x) = 5x + 12
⇒f(x) × g(x) = 3X
⇒g(x) = 3X/ 5x + 12
At 4th month let x = 4
f(x) =g(x)
To learn more about polynomials here:-
brainly.com/question/2833285
#SPJ4
The complete question is as follows:
Two different plants that grow each month at different rates are represented by the functions f(x) and g(x). In what month does the height of the f(x) plant exceed that of the g(x) plant?
Month (x) / f(x) = 3x / g(x) = 5x + 12
1 / 3 / 17
2 / 9 / 22
A) Month 3
B) Month 4
C) Month 5
D) Month 6
Which is better substitution or elimination?
Substitution is generally better than elimination equations because it is typically faster and easier to solve.
Substitution is generally a better method than elimination when solving equations. This is because substitution is typically faster and easier to solve. With substitution, you simply substitute one of the variables in the equation with a known value in order to solve for the other variable. This is generally easier than elimination, which involves eliminating one of the variables by adding and subtracting equations. Elimination can be more tedious, especially when dealing with large equations. Additionally, it may be difficult to eliminate one variable when the equations are not balanced or when there are multiple variables. For these reasons, substitution is generally better than elimination.
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
pls I need some help with this question and teach me how to go about it when solving for this work given in this question.
Answer:
GH₵10.50 per girlGH₵20.50 per boyStep-by-step explanation:
Given GH₵960 contributed by 80 students of which 68 are girls who contributed a total of GH₵714, you want to know the amount per girl and the amount per boy that was contributed.
RateThe amount per girl or boy is found by dividing their total contribution by the corresponding number of girls or boys.
ApplicationIf 68 girls contributed GH₵714, then the amount per girl is ...
(GH₵714)/(68 girls) = GH₵10.50 /girl
Each girl contributed GH₵10.50.
The remaining 12 students were boys, and the amount they contributed was (GH₵960 -714) = GH₵246. Then the amount per boy is ...
(GH₵246)/(12 boys) = GH₵20.50 /boy
Each boy contributed GH₵20.50.