Answers
Answer:
A & C
Step-by-step explanation:
A and C have a value of 1.4142 as does the problem in the question.
Related Questions
factor the polynomial by it's greatest common monomial factor 6x^3+8x^2-4x Help asap please
Answers
Answer:
Step-by-step explanation:
Hello,
First term is 2 * 3 * x * x * x
Second term is 2 * 2 * 2 * x * x
Last term is 2 * 2 * x
So we can factorise it as below.
[tex]\boxed{6x^3+8x^2-4x=2x(3x^2+4x-2)}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
The factor should be [tex]2x ( 3x^2 +4x -2 )[/tex]
Given that,
The equation is [tex] 6x^3+8x^2-4x[/tex]Based on the above information, the calculation is as follows:
[tex] 6x^3+8x^2-4x[/tex]
[tex]2x ( 3x^2 +4x -2 )[/tex]
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If a and b are acute angles such that tan (a+b)= 1.73 and tan(a-b) =1/1.73, find a and b
Answers
[tex] \LARGE{ \underline{ \boxed{ \orange{ \rm{Solution:)}}}}}[/tex]
Given,tan (a + b) = 1.73 [tex]\approx[/tex] √3tan (a - b) = 1 / 1.83 [tex]\approx[/tex] 1 / √3To find:Value of a and b in degrees....?Solution:☃️ Refer to the trigonometric table....
Then, proceeding
⇛ tan 60 ° = √3
⇛ tan 60° = tan (a + b)
⇛ 60° = a + b
Flipping it,
⇛ a + b = 60° --------(1)
And,
⇛ tan 30° = 1 / √3
⇛ tan 30° = tan (a - b)
⇛ 30° = a - b
Flipping it,
⇛ a - b = 30° ---------(2)
Now adding eq.(1) and eq.(2),
⇛ a + b + a - b = 60° + 30°
⇛ 2a = 90°
⇛ a = 90° / 2
⇛ a = 45°
Putting value of a in eq.(1),
⇛ 45° + b = 60°
⇛ b = 15°
☄ So, Our Required answers:
a = 45°b = 15°━━━━━━━━━━━━━━━━━━━━
Find the missing letter.
Answers
Answer:
The missing letter is ( J )
Graham uses a hot water bottle on an injury to his back he incurred playing basketball. He fills the bottle with water that is 100°F. After 25 minutes, Graham finds that the bottle has cooled and stops using it. What is the domain and range?
Answers
Answer:
Domain= time
Range= temperature
Step-by-step explanation:
Initially hot water cools down over time.
This can be expressed as a function of a temperature by a time. It takes 25 minutes for water to cooled down from 100°F to body temperature.
For any value of the time (from zero to 25 minutes), the temperature has certain value (from 100°F to body temperature). As time value increases, temperature value decreases accordingly.
In this example, time is the domain and temperature is the range.
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
Answers
Answer:
C. 12 for $6.00
Step-by-step explanation:
Answer:
C. 12 for $6.00
Step-by-step explanation:
better than $13.00 for 24. as that'd be $6.50 for 12..
SOLVE EQUATION GRAPHICALLY
[tex]3x - 4y = - 7 and 5x - 2y = 0[/tex]
Answers
y= 5/2
...........
X=1
Y=5/2
solve for k k + (2 - 5k)(6) = k + 12
Answers
Answer:
k=0
Step-by-step explanation:
[tex]k+(2-5k)(6)=k+12\\k-30k+12=k+12\\12-12=29k+k\\0=30k\\k=0[/tex]
Answer:
k=0
Step-by-step explanation:
Find the point on y axis which is equidistant from the point (5,-2) and (-3,2)
Answers
Answer:
(0, -2)
Step-by-step explanation:
a point on the y-axis. that means x=0.
so, the distance of (5, -2) to (0, y) is the same as the distance from (-3, 2) to (0, y).
the distance between (5, -2) and (0, y) is based on Pythagoras (the differences in x and y directions are the sides of a right-angled triangle, and the distance is its Hypotenuse, its baseline) :
distance² = (5-0)² + (-2 - y)² = 25 + 4 + 4y + y² = 29+4y+y²
but it is also
distance² = (-3-0)² + (2 - y)² = 9 + 4 - 4y + y² = 13 - 4y + y²
so, we get
29 + 4y + y² = 13 - 4y + y²
29 + 4y = 13 - 4y
16 = -8y
y = -16/8 = -2
their, the point on the y-axis being equidistant to both points is (0, -2)
a 6 meter pole is supported by guy wires that are anchord to the ground as shown. what is sin d?
Answers
Answer:
6/6.71
Step-by-step explanation:
If you are given a 6-meter pole that is supported by guy wires that are anchored to the ground, you can create a relationship with respect to sin theta. sin theta is equal to the 6 meters over the slant line supported by the pole. as shown.
This is urgent!!
Can someone please tell me what the measurements would be if this was unrolled into a rectangular prism!?
Answers
19 x97 find the product using suitable properties
Answers
Answer:
19 x 97 = 1843
Hi how to solve this pythagoras theorem
Answers
Answer:
The perimeter of the triangle is 40.
Step-by-step explanation:
Pythagorean Theorem: If x and y are the leg lengths of a right triangle, then r = √(x^2 + y^2) is the length of the hypotenuse. Alternatively, x^2 + y^2 = r^2.
The side lengths 2x, 4x - 1 and 4x + 1 are already arranged in ascending order. Thus, (2x^)2 + (4x - 1)^2 = (4x + 1).
Performing the indicated operations, we get:
4x^2 + 16x^2 - 8x + 1 = 16x^2 + 8x + 1. Simplify this first by combining like terms:
20x^2 - 16x = 16x^2, or
4x^2 - 16x = 0, or
4x(x - 4) = 0. Thus, x = 0 (which makes no sense here) or x = 4.
The perimeter of the rectangle is the sum of the three sides 2x, 4x - 1 and 4x + 1. Substituting 4 for x, we get
P = 8 + 16 - 1 + 16 + 1, or 40.
The perimeter of the triangle is 40.
What is the circumference of the following circle?
ea
3 cm
a
t
D
cm
Show Calculator
Answers
your question is incomplete dear check it once
Find the coordinates of the image of M(−1, 5) after the translation (x, y)→(x+3, y−2).
Answers
Work:
x: -1 + 3 = 2
y: 5 - 2 = 3
Write the event as set of outcomes. We flip three coins and obtain more tails than heads.
A. {ttt}
B. {ttt, tth, tht, htt}
C. {ttt, tth}
D. {tth, tht, htt}
Answers
Answer:
B.
Step-by-step explanation:
All the possible outcomes are listed on choice B.
The event is a set of outcomes. if we flip three coins and obtain more tails than heads is E = {ttt, tth, tht, htt} option (B) is correct.
What is set?A set is a collection of clearly - defined unique items. The term "well-defined" applies to a property that makes it simple to establish whether an entity actually belongs to a set. The term 'unique' denotes that all the objects in a set must be different.
We have three coins.
As we know, in a coin there are two sides head and a tail.
If we flip three coins then the set of all the possible outcomes:
O = {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
The set of outcomes has more tails than heads.
E = {ttt, tth, tht, htt}
We can find the probability, the probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Probability = 4/8 = 1/2
Thus, the event is a set of outcomes. if we flip three coins and obtain more tails than heads is E = {ttt, tth, tht, htt} option (B) is correct.
Learn more about the set here:
brainly.com/question/8053622
#SPJ5
It takes a copy machine 6 minutes to complete a job. How many minutes are left on a job if 2/3 of the job is now complete?
Answers
2/3 of the job was completed in 4 minutes. the job left will be completed in 2 minutes
Mai is putting money into a checking account.Let Y represent the total amount of money in the account (dollars)Let X represent the number of weeks Mai has been adding money suppose that x and y are related by the equation 550+40x =y what is the change per week in the amount of money in the account ?
Answers
Answer:
The answer is $40.
Step-by-step explanation:
According to the equation given in the question, we can assume that 550 is constant and was there when Mai started saving into a checking account.
Then as x gets increased by 1 each week, the amount of change in the account per week is $40.
I hope this answer helps.
a(n) = -5 + 6(n - 1)a(n)=−5+6(n−1)a, left parenthesis, n, right parenthesis, equals, minus, 5, plus, 6, left parenthesis, n, minus, 1, right parenthesis
Find the 12^\text{th}12
th
12, start superscript, start text, t, h, end text, end superscript term in the sequence.
Answers
Answer:
The 12th term is 61
Step-by-step explanation:
I will assume that your a(n) = -5 + 6(n - 1) is correct; the rest is redundant (duplicative, unneeded).
To find the 12th term, substitute 12 for n in the above formula:
a(12) = -5 + 6(12 - 1) = -5 + 6(11) = 66 - 5, or 61
The 12th term is 61
Answer:
61
Step-by-step explanation:
Which relation is not a function?
Answers
Answer:
A
For something to be a function every x value bust have at most 1 y value and in A 9 has 2 y values so it cant be a function
Name a real world context to describe the sums of rational numbers.
Answers
Step-by-step explanation:
when you are cooking you need to measure fractions of ingredients
A square has an area of 18.49 square yards. What is the length of each side in yards?
Answers
Answer:
4.6225
Step-by-step explanation: It would be too long to get an exact
Answer:
Step-by-step explanation:
Area of square = 18.49 square yards
side² = 18.49
side = √18.49
side = 4.3 yards
If $x \geq 0$ and $y \geq 0$, how many lattice points does the line $y = -2x + 18$ pass through?
Answers
Find the number of ordered pairs $(m,n)$ of integers that satisfy \[mn = 2m + 4n.\] [tex]Find the number of ordered pairs $(m,n)$ of integers that satisfy \[mn = 2m + 4n.\][/tex]
Answers
There are four pairs (m,n) that work: (5,10), (6,6), (8,4), and (12,3).
help meh wit this bruh♂️
Answers
Answer:
a) m∠BPD = 120°
b) m∠BC + m∠AD = 120°
Step-by-step explanation:
a) To solve for question a, we make use of a theorem called the intersecting chord theorem. This states that:
The measure of the angle formed by two chords that intersect inside a circle is the average of the measures of the intercepted arcs.
The Interior angle =( The larger exterior arc + The smaller exterior arcs) ÷ 2
The larger exterior arc (m∠BD) = 170°
The small exterior arc (m∠CA) = 70°
m∠BPD = m∠BD + m∠CA/2
m∠BPD = 170° + 70°/2
= 240°/2
= 120°
b) We are to find m∠BC + m∠AD
The sum of exterior angles in a circle = 360°
360° = m∠BD + m∠CA + m∠BC + m∠AD
360° = 170° + 70° + m∠BC + m∠AD
360° = 240 + m∠BC + m∠AD
360 - 240° = m∠BC + m∠AD
Thererefore,
m∠BC + m∠AD = 120°
Answer:
1. m∠BPD = 120°
2. m∠BC + m∠AD = 120°
Counting from 1 to 46, how many 4s will you encounter? 8 10 11 12 14
Answers
Answer:
11
Step-by-step explanation:
4=1
14=2
24=3
34=4
40=5
41=6
42=7
43=8
44=9
45=10
46=11
You will encounter 11 4s.
On a distant planet, a ball is thrown upwards from ground level, reaching a maximum height of 12m and hitting the ground again in eight seconds. Determine a quadratic equation in the form ax^2 + bx^2+c = 0 that could be used to calculate when the ball is at a height of 3m. Do not solve the equation.
Answers
Answer:
(-3 ÷ 4)x^2 + 6x
Step-by-step explanation:
Data mentioned in the question
Maximum height = 12m
Number of seconds = 8
Height = 3m
Depend on the above information, the quadratic equation is shown below:
As it took 8 seconds to hit the maximum altitude and it reverted to the ground floor, this graph also reflects the motion in parabola after 4 seconds, so that the a must be negative
Now it is given that
a × x ^ 2 + bx + c =0
We can considered that
x = 0
x = 8
As {0.8} are intercepts of x
When x = 0, then it is
a × 0 ^ 2 + b(0) + c = 0 .................... (i)
Hence 0 = 0
Now x = 8, it is
a × 8 ^ 2 + b(8) + c = 0
Hence a(8)^2 + b(8) + c = 0 ..................(ii)
As it can be seen that in the first equation c must be zero
Whereas the second equation is
64a + 8b = 0
i.e.
8a = -b or a = -b ÷ 8
Now according to the quadratic function, it presented
(-b ÷8)x^2 + bx + 0
So, the parabola vertex is (4, 12)
Now place this in the place of a
(-b ÷ 8)(4)^2 + b(4) = 12
And for calculating this b, all terms must be multiplied by 8
That appears
-b(16) + 32b = 96
16b = 96
So, b = 6.
As a = -b ÷8
a = -6 ÷ 8
a = -3 ÷4
So, the equation is
= (-3 ÷ 4)x^2 + 6x
Hence, this is the equation
Given: △PST, Area of △PST=71.24 PS=15, Pt=13 Find: m∠P (Please help!!!)
Answers
Answer:
∠ P ≈ 46.9°
Step-by-step explanation:
The area (A) of Δ PST is calculated as
A = [tex]\frac{1}{2}[/tex] × PS × PT × sinP
Here A = 71.24 , then
[tex]\frac{1}{2}[/tex] × 15 × 13 × sinP= 71.24 , that is
97.5 × sinP = 71.24 ( divide both sides by 97.5 )
sinP = [tex]\frac{71.24}{97.5}[/tex] , then
∠ P = [tex]sin^{-1}[/tex] ([tex]\frac{71.24}{97.5}[/tex] ) ≈ 46.9° ( to the nearest tenth )
Find f(2) if f(x) = (x + 1)^2
Answers
Answer:
9
Step-by-step explanation:
Plug in 2 for x
You should get f(2)=(2+1)^2
Add 2+1 inside the parenthesis to get 3
Finally do (3)^2 to get 9
What is the median of the following set of measurements?
"22 kg, 24 kg, 28 kg, 19 kg, 27 kg",
The median of the measurements is kg.
Answers
Answer:
24 kg
Step-by-step explanation:
The median can be found by putting the numbers in order and then finding the middle value.
In order from least to greatest:
19, 22, 24, 27, 28
24 is the middle value
So, 24 kg is the median.
Answer:
24 kg
Step-by-step explanation:
The median is the number in the middle of the data set. To find the median, arrange the numbers from least to greatest, then locate the middle number.
1. Arrange the numbers from least to greatest
Numbers: 22 kg, 24 kg, 28 kg, 19 kg, 27 kg
Least to greatest: 19 kg, 22 kg, 24 kg, 27 kg, 28 kg
2. Locate the middle number
Cross one number off each end of the set until the middle is reached.
19 kg, 22 kg, 24 kg, 27 kg, 28 kg
Cross off 19 and 28
22 kg, 24 kg, 27 kg
Cross off 22 and 28
24 kg
The middle number has been reached.
median= 24 kg
The median of the measurements is 24 kilograms.
prove that...sin^4α+sin^2αcos^2α=sin^2α
Answers
Answer:
Note that LHS means left-hand side and RHS means right-hand side.
Step-by-step explanation:
LHS = sin⁴a + sin²a cos²a
= sin²a (sin²a + cos²a)
At this point, you can use the identity sin²a + cos²a = 1,
= sin²a (1)
= sin²a
= RHS (Proved)
Answer:
Step-by-step explanation:
[tex]\Large \boldsymbol{} \sin^4a+\sin^2a \cos^2a=\sin^2a \\\\\sin^2a(\underbrace{\sin^2a+\cos^2a}_1) =\sin^2a \\\\\sin^2a\cdot 1=\sin^2a \\\\\sin^2a=\sin^2a[/tex]