Answers
Answer:
6
1/3
Step-by-step explanation:
Similar triangles
The corresponding side on triangle A is 18 units
18 * 1/3 = 6
The side length of the missing side on B is 6 units
Side B 5
------ = ----------- = 1/3
Side A 15
The ratio is 1/3
Answers:
question one: 6
question two: 1/3
==========================================
Explanation:
The side 12 from triangle A corresponds to the side 4 from triangle B.
The scale factor is A/B = 4/12 = 1/3 which tells us that sides in triangle B are 1/3 as long compared to sides in triangle A. This takes care of the second question.
We'll use this scale factor to determine the missing side of triangle B.
The side 18 in triangle A corresponds to this missing side in triangle B.
Take 1/3 of 18 to get (1/3)*18 = 6 which is that missing side.
--------------
Another way to look at it: Take any side of triangle B, triple it, and you'll get a corresponding side of triangle A.
Example: The jump from 5 to 15 is "times 3".
Related Questions
Hayden and Jamie completed 20 math problems together. Jamie completed 2 more than twice the number that Hayden completed. Let p represent the number of math problems Hayden completed.Write an equation that can be used to find the number of math problems that Jamie completed.
Answers
Answer:
[tex]p+p+2=20[/tex]
Step-by-step explanation:
This is what my math teacher told us, so I don't know try this.
Step-by-step explanation:
p + j = 20
j = 2p + 2 --> -2p + j = 2
[tex] \binom{1 \: 1}{ - 2 \: 1} \: \binom{20}{2} = \binom{p}{j} [/tex]
best ontime airlines: hawaiian airlines topped the list of the most punctual u.s. airlines for full-year 2014, according to data released by the bureau of transportation statistics. the on-time arrival performance was 91.9% another aviation data service believes that this percentage now is even higher. the team of researchers chose 130 randomly selected flights and find that 120 of the flights arrived on time. can a hypothesis test be used to determine whether the proportion of hawaiian airlines flights that arrive on-time is higher than 91.9%? group of answer choices yes, because the sample is random. thus, it is representative of the population of flights for the airlines. yes, because the sample is random and (130)(0.923) and (130)(0.077) are both at least 10. this means the normal model is a good fit for the sampling distribution. yes, because the sample is random and (130)(0.919) and (130)(0.081) are both at least 10. this means the normal model is a good fit for the sampling distribution.
Answers
1.because sample is random and (130)
(0.923) and (130)(0.077) are both at least 10.
This means the normal model is a good fit for the sampling distribution.
Consider the provided information.
130 randomly selected flights and find that
120 of the flights arrived on time.
n=130
The on-time arrival performance was 91.9%
p=0.923 and q=1-0.923=0.077
np = 130 x 0.923
np = 120 ≥ 10
nq = 130 × 0.077
nq = 10 = 10
Hence, Yes, because sample is random and
(130)(0.923) and (130)(0.077) are both at least 10. This means the normal model is a good fit for the sampling distribution.
2.because sample is random and (130)
(0.919) and (130)(0.081) are both at least 10.
This means the normal model is a good fit for the sampling distribution.
Consider the provided information.
130 randomly selected flights and find that
120 of the flights arrived on time.
n=130
The on-time arrival performance was 91.9%
p=0.919 and q=1-0.919=0.081
np = 130 x 0.919
np = 119.5 ≥ 10
nq = 130 × 0.081
nq = 10.5 ≥ 10
Hence, Yes, because sample is random and
(130)(0.919) and (130)(0.081) are both at least 10. This means the normal model is a good fit for the sampling distribution.
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help meeeeeeeeeee pleaseeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
The perfect square trinomial is x² + 10x + [tex] \boxed{\sf 25} [/tex]The factored perfect square trinomial is [tex] \boxed{\sf (x + 5)(x + 5) \ or \ {(x + 5)}^2} [/tex]Step-by-step explanation:
Given:
Binomial: x² + 10x
To Find:
Constant that should be added to the binomial so that it becomes a perfect square trinomial.Factor the trinomial.Solution:
To find the constant we would compare the binomial with (a + b)² i.e. a² + 2ab + b² as it is the formula for perfect square.
By comparing we get:
a² = x²
2ab = 10x
b² = constant (To find out)
From this we can make out:
a = x
[tex] \therefore[/tex]
[tex] \rm \implies 2 \times x \times b = 10x \\ \\ \rm \implies b = \frac{10x}{2x} \\ \\ \rm \implies b = 5 \\ \\ \therefore \\ \\ \rm \implies {b}^{2} = 25[/tex]
So, constant that should be added to the binomial so that it becomes a perfect square trinomial is [tex] \boxed{\rm 25} [/tex].
Perfect square trinomial is x² + 10x + 25
Factorisation of the trinomial:
[tex] \rm \implies {x}^{2} + 10x + 25 \\ \\ \rm \implies {x}^{2} + 10x + {5}^{2} \\ \\ \rm \implies {x}^{2} + 5x + 5x + {5}^{2} \\ \\ \rm \implies x(x + 5) + 5(x + 5) \\ \\ \rm \implies (x + 5)(x + 5) \\ \\ \rm \implies {(x + 5)}^{2} [/tex]
(d)
After one year, the value of Annie's car had reduced by 20%.
At the end of the second year, the value of Annie's car had reduced by a further 15% of its value at the
end of the first year.
07
(i) Calculate the overall percentage reduction after the two years.
20
Answers
How to solve for x step by step 3x-1=20
Answers
21/3=7
(X=7) is the answer
Answer:
x = 7
Step-by-step explanation:
Given equation,
→ 3x - 1 = 20
Now the value of x will be,
→ 3x - 1 = 20
→ 3x = 20 + 1
→ x = 21/3
→ [ x = 7 ]
Hence, the value of x is 7.
a pyramid with a square base is cut by a plane that is parallel to its base and 22 units from the base. the surface area of the smaller pyramid that is cut from the top is half the surface area of the original pyramid. what is the altitude of the original pyramid?
Answers
The altitude of the original pyramid is about 75.11 units
Given that,
Let h stand in for the original pyramid's height. The cut-off top then stands at a height of (h -22). The square of the scale factor for height is the scale factor for area, therefore we get :
Altitude of Pyramid means The slant height of a regular pyramid is its lateral face's height. Slant height in a non-rectangular pyramid is not specified. When determining the height (or altitude) of a regular, right pyramid, the vertex (the top) is used as the point perpendicular to the base. The base will intersect at this position.
(Height ratio)^2 = 1/2
((h -22)/h) ^ 2 = 1/2
(h-22) / h = 1/[tex]\sqrt{2}[/tex]
h-22 = h /[tex]\sqrt{2}[/tex]
h = 75.11 units
Consequently, the original pyramid's altitude is around 75.11 units.
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Donald graphs the distance he walks over time the graph passed through the points (3, 12) and (4, 16)
Answers
Using a proportional relationship, it is found that:
A. The slope of the line is of 4.
B. The slope is the same over both segments.
What is a proportional relationship?A proportional relationship is modeled as follows:
y = kx.
Hence a proportional relationship is a special case of a linear function, with slope represented by the constant of proportionality of k and intercept of 0.
For the presented case, the two variables x and y are direct proportional, and thus the output variable y is obtained as the multiplication of the input variable x by the constant of proportionality k.
In this problem, the relationship has two points presented as follows:
(3, 12) and (4, 16).
Hence the slope, which is the constant of the relation, is given as follows:
k = 12/3 = 16/4 = 4.
Given two points, the slope is given by the change in y divided by the change in x. Hence, over each segment, the slopes are given as follows:
(1,4) and (3,12): m = (12 - 4)/(3 - 1) = 8/2 = 4.(3, 12) and (4,16): m = (16 - 12)/(4 - 3) = 4.Which are the same slopes.
Missing InformationThe problem is given by the image at the end of the answer.
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g:x→0.44√3.2x−4.1 i need to make that into a graph in my calculator but im not sure how
Answers
The graph of the given functions is (see in attachments).
From the question, we have
g(x) = 0.44√3.2x−4.1
Graph:
A graph is an organized visual representation of any data in mathematics. The relationship between the variable quantities is depicted on the graph. In a graph theory, the set of items that are somehow connected to one another is represented by a graph. The vertices or nodes of the objects are essentially mathematical notions, and the edges between the nodes represent the relationships between the nodes. In mathematics and statistics, there are various types of graphs that are used to visually display data. The study of points and lines is known as graph theory. It is a branch of mathematics that focuses on the investigation of graphs. The mathematical truth is shown visually in this picture. Relationships are studied using graph theory.
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Ms.emlyn buys a hat and gloves with a coupon for 30% off her entire purchase. the gloves cost $35 before the discount. her bill before tax is $44.80.write an equation to find the original cost of the hat.
Answers
The equation to find the original cost of hat is
44.80 = (x + 35) - (x+35)× 10/3
In the given question we have,
Ms. emlyn buys a hat and gloves with coupon for 30% off her entire purchase.
discount on total purchase = 30%
cost of gloves before discount = $35
let the cost of hat be $x before discount . The bill paid by Ms emlyn after discount but without tax = $44.80
total cost ( hat+gloves) before discount= $(x+35)
Now, after sum up all information we get,
$(x+35) - 30%discount on $(x+35) = $44.80
=> x+35 - (x+35)100/30 = 44.80
=> x+35 - (x+35)10/3= 44.80
which is required equation for original cost of hat.
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Help needed!!!
a) Convert the length and width of the swimming pool from centimetres to metres.
b) You’re thinking of laying bricks around the outside of the pool. Find the perimeter of the swimming pool, in metres.
c) You want to buy a pool cover. By rounding off your answers in a) to the nearest metre, estimate the area of the pool by multiplying the 2 numbers together.
d) Find the exact area of your new pool, in m2.
e) Was your estimate in d) reasonable?
f) Please explain why it was accurate or not
Answers
Answer:
Step-by-step explanation:
a) 100cm 1m so, 320/100=3.2m, 1200/100=12m
b) 3.2+3.2+12+12= 6.4+24=30.4
c) 3*12=36m squared
d) 3.2*12= 3*12+0.2*12=36+2.4=38.4m squared
e) My estimate in d) was reasonable
f) This is because 36 and 38.4 are really close to each other they only have a difference of 2.4 and that is because instead of multiplying the estimate with 3 and a 0.2 I just multiplied it with a 3. 0.2*12=2.4 so the difference is reasonable.
arturo can have pizza for dinner on any four of the next eight days. how many different ways can he select the days on which to have pizza?
Answers
Arturo can select the days on which to have pizza in 70 ways using combination rule if he chooses any four of the next eight days.
What is combination?
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
In combinations, one can select the items in any order.
Number of combination of a objects chosen from n objects
ⁿCₐ = [tex]\frac{n!}{a! (n-a)!}[/tex]
According to the given question:
To select 4 days out of the next 8 days, use combination rule
ⁿCₐ = [tex]\frac{n!}{a! (n-a)!}[/tex]
⁸C₄ = [tex]\frac{8!}{4! (8-4)!}[/tex]
⁸C₄ = (8x7x6x5x4x3x2x1)/(4x3x2x1)(4x3x2x1)
⁸C₄ = (8x7x6x5)/(4x3x2x1)
⁸C₄ = 70
Therefore there are 70 ways Arturo can select the 4 days out of 8 to have pizza for dinner.
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HELP MEEE PLEASEEEEEE
Answers
Answer:
Length YZ is about 16.2 cm (to the first decimal place)
Step-by-step explanation:
In order to find the lenth YZ we need to know the the Pythagorean theorem which is a²+b²=c² (or leg² + leg² = hypothnose)
For this problem let a = line segment XY, let b = YZ and let your hypothnose (c) to be ZX
Substitute your known values in the equation so we know a = 5 cm and c = 17 cm so we can apply it in our equation 5²+ b² = 17² Square your known values in this case 5² and 17² which is 25 and 289 respectively. The equation is now 25+b²=289 Do the inverse operation to Isolate you unknown variable which is b. We do this by subtracting 25 on both sides after doing so the equation is now b²= 264 Square root both sides of the equation the point is to get rid of the squared part of b². After doing so your answer is b = 16.2480768093Round to the first decimal place the two remains the same so the final answer is 16.2 cmwhat are the coordinates of the image of vertex after a reflection of r x-axias (x,y)
Answers
The coordinates of the image of vertex after a reflection of r x-axias (x,y) is (x, -y).
To get the coordinates of a point reflected on the x - axis, some important rules be considered here:
1. The x - coordinate of the reflected point is the same as the x - coordinate of the original point.
2. The y - coordinate of reflected point has opposite sign of y-coordinate of original point.
Example:
(1,9) when reflected on the x - axis it will be (1,-9).
Therefore the coordinates of the image of vertex after a reflection of r x-axias (x,y) is (x, -y).
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I GIVE you 20 points if you answer ASP PLS
The function graphed shows the total cost of a gym membership for x months.
Select from the drop-down menus to correctly identify the gym membership information provided by the graph.
The Slope is
The Slope Represents
Answers
Answer: Y=mx+b
Step-by-step explanation:
If you use the formula you can figure it out.
Answer:
the slope is 10
The slope represents the cost of gym membership per month.
solve for x and find each angle measure
(7x-32)
(5x-27)
(9x-8)
equation
x:
please help me !!
it’s for a quiz
Answers
Answer:
Step-by-step explanation:
187
WILL MARK BRAINLIEST! Determine the quadratic function of the form f(x)= a(x - h)² + k whose graph is given on the
right.
Answers
Answer:the quadratic function in f(x)= a(x-h)^2+k is f(x) = - (x - 2)² + 2.I think this is false";}
Step-by-step explanation:
joe and matthew plan to visit a bookstore. based on their previous visits to this bookstore, the probability distributions of the number of books they will buy are given below. a figure is shown with two tables, each with two rows. the top table has a top row that reads number of books joe will buy, 0, 1, 2, and a bottom row that reads probability, 0.50, 0.25, 0.25. the bottom table has a top row that reads number of books matthew will buy, 0, 1, 2, and a bottom row that reads probability, 0.25, 0.50, 0.25. assuming that joe and matthew make their decisions independently, what is the probability that they will purchase no books on this visit to the bookstore?
Answers
The probability that Joe and Mathew would have to purchase no books on this visit to the bookstore is given as 0.125.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
We are to find the probability where p(x) = 0 and p(y) = 0
This is where we would have
from the table, p(x) = 0 is 0.5
p(y) = 0 is 0.25
0.25 x 0.5 = 0.125
Hence the probability that no books would be bought is 0.125.
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Given: 2x+3=4x-5
Prove: x=4
Answers
Answer:
Step-by-step explanation:
2x + 3 = 4x - 5
4x - 5 = 2x + 3
Step 1 : Add 5 on both sides.
4x = 2x + 3 + 5
4x = 2x + 8
Step 2 : Subtract 2x on both sides.
4x - 2x = 8
2x = 8
Step 3 : Divide 2 on both sides.
x = 8/2
x = 4
Hence proved.
Answer:
Collect like terms
3+5=4x-2x
(note that when - crosses a line it turns to +
8=2x
8/2=2x/2
x=4
The table shows the probabilities that a biased dice will land on 2, on 3,
on 4, on 5 and on 6.
Number on dice
Probability
1
2
0.1
3
0.17
4
5
6
0.08 0.16 0.14
Paulo rolls the biased dice 300 times.
Work out an estimate for the total number of times the dice will land on 1 or on 5
Answers
The total number of times the dice will land on 1 or on 5 is 153.
What is probability?
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.All of the probabilities will add up to 1. This gives us the equation.
P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = 1
P(1) + 0.17 + 0.08 + 0.16 + 0.14 + 0.1 = 1
P(1) + 0.65 = 1
P(1) = 1 - 0.66
P(1) = 0.35
We now need to find the probability of 1 or 5.
P( 1 or 5) = P(1) + P(5)
= 0.35 + 0.16
= 0.51
We now use the predicting outcomes formula
Expected = P( 1 or 5) * No. of times
= 0.51 * 300
= 153
Hence, the total number of times the dice will land on 1 or on 5 is 153.
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-13x + x = 8x – 20x help me pls
Answers
The solution of the equation given as -13x + x = 8x - 20x is infinite many solutions
How to evaluate the equation?From the question, the equation is given as
-13x + x = 8x - 20x
To start with, we need to rewrite the expression
So, we have the following representation
x - 13x = 8x - 20x
Solving further, we need to evaluate the like terms
So, we have the following equation
-12x = 8x - 20x
Evaluate the like terms again
So, the equation becomes
-12x = -12x
Both sides of the above equation are the same
i.e. -12x is on both sides of the equation
When we have a solution that all sides of the equation have the same value, then the solution is that the equation has infinite many solutions
Hence, -13x + x = 8x - 20x has infinite solutions
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Type the correct answer in the box. If necessary, use / for the fraction bar.
Both pyramids in the figure have the same base area as the prism. The ratio of the combined volume of the pyramids to the volume of the pris
expressed as a fraction in simplest form, is
Answers
The ratio of the combined volume of these pyramids to the volume of the prism as a fraction is equal to 1/3.
How to calculate the volume of a pyramid?
The volume of a pyramid can be calculated by using this formula:
Volume = 1/3 × b × h
Where:
h is the height.
b is the base area.
Volume of this prism = 1/2 × b × hHere, both pyramids have the same base area as the prism, their volume is given by:
Volume of a pyramid = (1/3 × b × h) + (1/3 × b × h)
Volume of a pyramid = 2/3 × b × h
Also, the volume of this prism = 1/2 × b × h
Thus, the ratio is given by:
Ratio = (2/3 × b × h)/(1/2 × b × h)
Ratio = 2/3 × 1/2
Ratio = 1/3.
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What is the mathematical name of the shape
Answers
Answer:
Triangular prism
Step-by-step explanation:
If you were to fold all the creases and glue it together you would get a tent shape which is a triangular prism
How is this triangle congruent?
Answers
Answer:
triangle CBA is congruent to triangle CDA
The triangles are not congruent
In the figure below, a pole has two wires attached to it, one on each side, forming two right triangles.
Based on the given information, answer the questions below. Round each answer to the nearest tenth.
Part A: How tall is the pole? Show your work.
Part B: How far from the base of the pole does Wire 2 attach to the ground? Show your work.
Part C: How long is Wire 1? Show your work.
Answers
A. Applying the trigonometric ratio, the length of pole = 29.6 ft.
B. 23.1 ft.
C. Length of wire 1 = 45.1 feet.
How to Apply the Trigonometric Ratios?The trigonometric ratios are:
sin ∅ = opposite length/hypotenuse length cos ∅ = adjacent length/hypotenuse lengthtan ∅ = opposite length/adjacent length.Part A: Apply the trigonometric ratio, tan ∅ = opp/adj, to find the length of the pole
∅ = 41°
Opp. = length of pole
Adj. = 34 ft
Substitute
tan 41 = length of pole/34
Length of pole = (tan 41)(34) = 29.6 ft.
Part B:
Let the distance between the base of the pole and wire 2 be represented as x. Therefore, apply tan ∅ = opp/adj.
∅ = 38
Opp. = x
Adj. = 29.6 ft
Therefore:
tan 38 = x/29.6
x = (tan 38)(29.6)
x = 23.1 ft.
Part C: Use the Pythagorean theorem to find the length of wire 1.
Length of wire 1 = √34² + 29.6²)
= 45.1 feet.
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The ones digit is 2 less than the tens digit, and the sum of this number and its reversed number is 154.
Answers
Hope this helps!
Answer:
Step-by-step explanation:
the answer is 86
hope it helps!
(-_-)
help meeeeeeeeeeeeeee pleaseee
Answers
The vertex of the curve will be at (-2, -4) and the axis of symmetry is at -2
How to illustrate tye information?From the graph, the roots of the equation are -4 and 0, therefore, (x + 4) is a factor and x is also a a factor.
The equation of the curve is the product of the factors of the curve which is y = x(x + 4)
y = + 4x
The x coordinate of the vertex =
will be illustrated as:
-b/2a = axis of symmetry
a and b is the coefficient of x
so a = 1, b = 4
x coordinate of vertex = -4/2 = -2
Then, substitute x = -2 into y = + 4x to find the y-coordinate of the vertex
y = (-2)² + 4(-2)
y = 4 -8
y = -4
vertex = (-2, -4)
The axis of symmetry is -b/2a which is -2
Therefore, the vertex is at (-2, -4).
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Help me how do I graph this I don’t understand at all?????????
Answers
for g(x)=x to the power of 2 minus x, find g(x) when x=-2
Answers
The value of the function g(x) when x = -2 is 6
How to evaluate the function?The definition of the function is given as
g(x)=x to the power of 2 minus x
Rewrite the above function properly
So, we have the following representation
g(x) = x² - x
To find the function g(-2), we set the value of x in the equation g(x) = x² - x to -2
This is represented by
Calculate g(x), when x = -2
Substitute -2 for x in the equation g(x) = x² - x
So, we have the following equation
g(-2) = (-2)² - (-2)
Evaluate the exponents
This gives
g(-2) = 4 - (-2)
Evaluate the sum
g(-2) = 6
Hence, the value of the function is 6
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[tex]x-4/5-x+1/6=1/3[/tex]
Answers
The equation → x - 4/5 - x + 1/6 = 1/3 will have infinitely many solutions.
What is an equation?
A equation in mathematics is a mathematical statement depicting that the values of two mathematical expressions are equal. Some examples representing equations are -
y = 5x + 4
2x + 3y = 5x + 8π
cos(ny) = sin(πx)
Given is the following equation -
x - 4/5 - x + 1/6 = 1/3
We have -
x - 4/5 - x + 1/6 = 1/3
x - x - 4/5 + 1/6 = 1/3
- 4/5 + 1/6 = 1/3
Now, [x] will cancel out for ever possible value of [x], therefore, it will have infinitely many solutions
Therefore, the equation → x - 4/5 - x + 1/6 = 1/3 will have infinitely many solutions
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help me pleaseeeeeeeeeeeeeeeeee !!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: love
Step-by-step explanation: love