The side-lengths of a triangle are increased by a scale factor of 4. Predict
how this change will affect the area.

Answers

Answer 1

Answer:

It will become 64 times larger

Step-by-step explanation:


Related Questions

Write 6.51 x 10^-8 in Standard Form

Please help :) also this is the same thing question as last time but I forgot to put the little arrow

Answers

Answer:

[tex]651*10^{-8[/tex]

Step-by-step explanation:

Sure hope this helps you

!!!!!!ANSWER!!!!!!
An acute triangle has two sides measuring 8 cm and 10 cm. What is the best representation of the possible range of
alues for the third side, s?
2< s < 18
!!!!!!! 6 Os<2 ors > 18
s< 6 or s> 12.8

Answers

Answer:

1st option

Step-by-step explanation:

given 2 sides of a triangle then the third side s is in the range

difference of 2 sides < s < sum of 2 sides , that is

10 - 8 < s < 10 + 8

2 < s < 18

David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and 3 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?

Square with an inner frame with height of 2 ft on the left frame and width of 3 ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x.

2x2 + 14x − 2 = 0
3x2 + 10x − 8 = 0
4x2 + 10x − 2 = 0
x2 + 7x − 8 = 0

Answers

Answer:

Represent the thickness of the frame by x.

Framing the mirror will increase both its length and width by 2x. The area of the mirror with the frame is the product of the length and width which can mathematically be expressed as,

A = (3+2x)(2+2x) = 8

The equation above can be simplified into 4x^2 + 10x -2=0.

This equation can still be further simplified by dividing it by 2. However, it will give an answer which is not found on the choices. Thus, the answer is the third choice.

Answer:

The correct option would be C

Step-by-step explanation:

I hope this helps, if it doesn't then just message me and ill be more than happy to help :)

y = -6x+2
-12x-2y = -4
How many solutions does this linear system have?
O one solution: (0, 0)
O one solution: (1,-4)
Ono solution
O infinite number of solutions

Answers

Answer:

infinite number of solutions

Step-by-step explanation:

Given equations:

y = -6x+2-12x - 2y = -4

Rearrange the second equation to make y the subject:

⇒ -12x - 2y = -4

⇒ -12x - 2y + 2y = -4 + 2y

⇒ -12x = -4 + 2y

⇒ -12x + 4 = -4 + 2y + 4

⇒ -12x + 4 = 2y

⇒ (-12x + 4) ÷ 2 = 2y ÷ 2

⇒ y = -6x + 2

Comparing the rearranged equation with the first equation, we can see that both equations are the same.  

Therefore, as there is only one line, there are an infinite number of solutions.

b) What is the measure of ZE? Explain how you know. (1 point)​

Answers

i cant give you a answer because there is no other problems

A plane flies from Dubbo on a bearing of 139° for 852 km, then turns and flies on a bearing of 285° until it is due west of Dubbo. How far from Dubbo is the plane, to the nearest km?

Answers

Answer:

Step-by-step explanation:

So first you add them together which gives you infinity and then you divide infinity by (139+285) then keep doing it until you realise this is a scam

If the total profit per month is 200000 and the revenue per month can be obtained as twice the cost per month minus 50000. what is the revenue and cost?

Answers

Answer:

300,000

Step-by-step explanation:

[tex]2000000 - 50000 = 150000[/tex]

[tex]150000 \times 2 = 300000[/tex]

A spinner has 4 equally sized sectors that are numbered 3, 3, 4 and 6. The spinner is spun twice and the sum of the outcomes is found.
A fair decision is to be made about which one of 4 vacation destinations will be planned, using the sum of the outcomes.

The vacation destination options are New Mexico, Alaska, Puerto Rico and London.

Which description accurately explains how a fair decision can be made in this situation?

If the sum is 6, the vacation destination will be London. If the sum is 8, the vacation destination will be Alaska. If the sum is 9, the vacation destination will be New Mexico. If the sum is 7, 10 or 12, the vacation destination will be Puerto Rico.

If the sum is 6, the vacation destination will be London. If the sum is 7, the vacation destination will be Alaska. If the sum is 10, the vacation destination will be New Mexico. If the sum is 8, 9 or 12, the vacation destination will be Puerto Rico.

If the sum is 6, the vacation destination will be London. If the sum is 7, the vacation destination will be Alaska. If the sum is 9, the vacation destination will be New Mexico. If the sum is 8, 10 or 12, the vacation destination will be Puerto Rico.

If the sum is 10, the vacation destination will be London. If the sum is 7, the vacation destination will be Alaska. If the sum is 9, the vacation destination will be New Mexico. If the sum is 6, 8 or 12, the vacation destination will be Puerto Rico.

Answers

Answer:

If the sum is 6, the vacation destination will be London.

If the sum is 7, the vacation destination will be Alaska.

If the sum is 9, the vacation destination will be New Mexico.

If the sum is 8, 10 or 12, the vacation destination will be Puerto Rico.

Step-by-step explanation:

Create a sample space for the 2 spins (see attached).

From the sample space, the probabilities are:

P(sum is 6) = 4/16P(sum is 7) = 4/16P(sum is 8) = 1/16P(sum is 9) = 4/16P(sum is 10) = 2/16P(sum is 12) = 1/16

Therefore, to make a fair decision:

As the sum of 6, 7 and 9 each have equal probabilities (4/16), they should each be attritbuted to one destination.

As the sum of 8, 10 and 12 combined equal the same probability as the sum of 6, 7, and 9 individually, the sum of 8, 10 and 12 should be assigned to one destination combined.

Solution

If the sum is 6, the vacation destination will be London.

If the sum is 7, the vacation destination will be Alaska.

If the sum is 9, the vacation destination will be New Mexico.

If the sum is 8, 10 or 12, the vacation destination will be Puerto Rico.

what is the area, in square centimeters, of the isosceles trapezoid below?

Answers

Answer:

65.28

Step-by-step explanation:

1/2 × (15.2+5.2) × 6.4 = 65.28

hope this helps ;)

I will mark branilest If a x b = 2a - 3b + ab, then 3 x 5 + 5 x 3 is equal to?
A. 20
B. 22
C. 24
D. 26

Answers

Answer:

[tex]22[/tex]

Step-by-step explanation:

Because:

[tex]a \times b = 2a - 3b + ab[/tex]

Then:

[tex]3 \times 5 + 5 \times 3[/tex]

[tex]6 - 15 + 15 + 10 - 9 + 15 \\ = 22[/tex]

Answer:

B. 22

Step-by-step explanation:

Given

a x b = 2a - 3b + ab

3 x 5

2(3) - 3(5) + 3(5)6

5 x 3

2(5) - 3(3) + 3(5)1 + 1516

⇒ 3 x 5 + 5 x 3

⇒ 6 + 16

22 (Option B)

Please solve the inequality and give the steps needed to solve: x²-13x+36 ≤ 0

Answers

I hope y’all have a good day!!

simplify 3^-6*(3^4/3^0)^2

Answers

Answer:

Thhe simplified form of the expression is 9

Indices are expressed as power or exponent which is raised to a number or a variable.

According to the law of indices

\begin{gathered}a^n \times a^m = a^{n+m}\\a^n \div a^m = a^{n-m}\end{gathered}

a

n

×a

m

=a

n+m

a

n

÷a

m

=a

n−m

Given the expression

3^{-6} \times (\dfrac{3^4}{3^0} )^23

−6

×(

3

0

3

4

)

2

This can also be expressed as:

\begin{gathered}=\dfrac{1}{3^6} \times (\frac{3^4}{1})^2 \ (3^0 =1)\\= \dfrac{1}{3^6} \times 3^8\\=\dfrac{3^8}{3^6}\\=3^{8-6}\\=3^2\\=9\\\end{gathered}

=

3

6

1

×(

1

3

4

)

2

(3

0

=1)

=

3

6

1

×3

8

=

3

6

3

8

=3

8−6

=3

2

=9

This shows that the simplified form of the expression is 9

how to find a length with perimeter 400cm and breadth 50cm.​

Answers

Step-by-step explanation:

Asuming object is a rectangle. We know that to find the perimeter of a rectangle we must add all the sides.

Therefore the formula wound be "b + b + l + l". To simplify this equation we can goup the similar sides as "2b + 2l".

Since we know the perimeter of the rectangle lets equate this simplified formula to 400:

2b + 2l = 400

Now because we know the breath lets replace it with the b position in tge formula.

2(50) + 2l = 400

Now lets use simple algebra to solve.

100 + 2l = 400

2l = 400 - 100

2l = 300

l = 150

Therefore, the lenght is 150cm

A building that is used for storage has the dimensions shown. What is the volume of the building?

Answers

The total volume of this building based on the volume of its two sections is 3808 cubic feet.

How to calculate the volume of the building?

In this case, it is necessary to calculate the volume of the base that has a rectangular prism shape and the volume of the top part that has a right triangular prism shape.

What is the volume of the base?length x widht x height28 x 8 x 14 = 3136 cubic feet

What is the volume of the top part?0.5 x base x height x length0.5 x 14 x 8 x 12 = 672 cubic feet

What is the total volume?3136 +  672 = 3808 cubic feet

Note: This question is incomplete because the image is missing; here is the missing section.

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Rewrite the equation by completing the square x^2-14x+49=0

Answers

Answer:

Here is the ans ...hope it helps:)

A block of sugar maple wood has a mass of 82.8 g and density of 0.69 ​g/cm3​. the block is a rectangular prism with a length of 5 cm and a width of 4 cm. what is the height of the block of sugar maple? enter your answer in the box.

Answers

The density of an object is the ratio of the mass of the object to its volume. The height of the block of sugar maple is 6cm

Density of an object

The density of an object is the ratio of the mass of the object to its volume. Mathematically;

Density = mass/volume

Given the following

Mass of block = 82.8grams

Density = 0.69g/cm^3

volume = lwh
Volume = 20h

Substitute

0.69 = 82.8/20h
20h = 82.8/0.69
20h = 120

h = 6cm

Hence the height of the block of sugar maple is 6cm

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6cm

Step-by-step explanation i can confirm that the answer is 6 ;}

Find the perimeter of the parallelogram whose vertices are A (-1,1), B (-9,6), C(-12,11) and D(-4,6) Give your answer correct to one decimal place

Answers

Answer: 30.5

Step-by-step explanation:

Suppose a car rental firm wants to estimate the average number of kilometers traveled per day by each of its cars rented in a certain city. A random sample of 20 cars rented in that city reveals that the sample mean travel distance per day is 85.5 kilometers, with a population standard deviation of 19.3 kilometers. Compute a 99% confidence interval to estimate Q. (2 points) Interpret your answer. (1 point)​

Answers

Using the z-distribution, it is found that the 99% confidence interval to estimate Q is (74.4, 96.6). The interpretation is that we are 99% sure that the true mean for all cars rented in the city is between these two values.

What is a z-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.

In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

The other parameters of the interval are given as follows:

[tex]\overline{x} = 85.5, \sigma = 19.3, n = 20[/tex].

Hence the bounds of the interval are given as follows:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 85.5 - 2.575\frac{19.3}{\sqrt{20}} = 74.4[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 85.5 + 2.575\frac{19.3}{\sqrt{20}} = 96.6[/tex]

The interpretation is that we are 99% sure that the true mean for all cars rented in the city is between these two values.

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Need help please answer ASAP!
(20-21)

Answers

#20

1/2x+3<2x-61/2x-2x<-6-3-3/2x<-93/2x>9x>9(2/3)x>6

#21

Find LCD of 2,7x,x

x is most common

So

LCD is 2(7x)(x)=14x²

Answer:

20.  (4)  x > 6

21.  (3)  14x

Step-by-step explanation:

Question 20

[tex]\begin{aligned}\dfrac{1}{2}x+3 & < 2x-6\\\dfrac{1}{2}x+3-3 & < 2x-6-3\\\dfrac{1}{2}x & < 2x-9\\\dfrac{1}{2}x-2x & < 2x-9-2x\\-\dfrac{3}{2}x & < -9\\-\dfrac{3}{2}x \cdot 2 & < -9 \cdot 2\\-3x & < -18\\-\dfrac{3x}{3} & < -\dfrac{18}{3}\\-x & < -6\\\dfrac{-x}{-1} & < \dfrac{-6}{-1}\\x & > 6\end{aligned}[/tex]

Question 21

Rewrite all three fractions so that their denominators are the same:

[tex]\dfrac{1}{2}=\dfrac{1 \times 7x}{2 \times 7x}=\dfrac{7x}{14x}[/tex]

[tex]\dfrac{2}{7x}=\dfrac{2 \times 2}{7x \times 2}=\dfrac{4}{14x}[/tex]

[tex]\dfrac{5}{x}=\dfrac{5 \times 14}{x \times 14}=\dfrac{70}{14x}[/tex]

Therefore, the least common denominator is [tex]14x[/tex]

PLEASE PLEASE HELP ME WITH RHIS QUESTION

Answers

Answer:

D) He has a 67% chance of getting a 1, 3, 5, or 6.

Find the slope of every line that is perpendicular to this one

Answers

Answer:6-

Step-by-step explanation:

Jasmine deposited $700 in an account earning 9% interest compounded annually,
To the nearest cent, how much will she have in 1 year?

Answers

At the end of one year Jasmine will have the sum of $763

Calculation of interest rate

The principal amount (P)= $700

The interest rate(R) = 9%

The period of investment (T) = 1 year

Therefore simple interest

= P×T×R/100

= 700×1×9/100

= 6300/100

= $63

Therefore, the total amount she will receive at the end of a year = 700 + 63

= $763

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What is the value of x in this figure?

Enter your answer in the box.

x =

The figure contains a pair intersecting lines. One angle is labeled 114 degrees. The angle that is opposite and not adjacent to this angle is labeled x degrees.

Answers

Answer:

  114°

Step-by-step explanation:

Non-adjacent angles where two lines cross are called "vertical angles." They are congruent.

  x = 114°

A company produces 3000 memory cards each day. Every
day 25 are randomly selected for testing. One day, 1 of those
tested failed. About how many of the memory cards
produced that day are likely to fail?

Answers

Answer:

120 failures

Step-by-step explanation:

1 out of 25    or    1/25 th of 3000

1/25 * 3000 = 120

Candle a and candle b were lit at the same time. candle a could last 3 hours and candle b could last 5 hours. after 1 hour, both candles were equal in length. what was the ratio of the length of candle a to the length of candle b at first.

Answers

The ratio of the length of candle A to the length of candle B at first will be 3 / 5.

What are ratios and proportions?

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

Candle A and candle B were lit at the same time. candle a could last 3 hours and candle b could last 5 hours. after 1 hour, both candles were equal in length.

Then the ratio of the length of the candle A to the length of candle B at first will be

Let the length of candle A is x and the length of candle B be y.

The common speed will be S.

Then we have

Time = length / speed

For candle A, we have

Candle A = x / S = 3 ...1

For candle B, we have

Candle B = y / S = 5 ...2

From equations 1 and 2, we have

x / 3 = y / 5

x / y = 3 / 5

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Troy wants to join Universal Gym. The gym charges a one-time membership fee of $50 and $24.50 per month. Write a function that represents this situation.

a. f(m) = 50m + 24.50
b. f(m) = 50 + 24.50m
c. f(m) = 50m + 24.50m
d. (m) = 50 + 24.50

Answers

Answer: B

Step-by-step explanation:

B is the correct one because the $50 is one time payment and the $24.50 gets charged every month

I think my answer is correct? Not so sure though haha

2. A fish tank is shaped like a rectangular prism. 1 2 square feet. The area of the base of the fish tank is 6 The height of the fish tank is 3 feet. 2 What is the volume, in cubic feet, of the fish tank?​

Answers

Answer:

A. Makes the most sense. If you are using multiplication you'd get 18 1/16

Step-by-step explanation:

You buy milk that contains 180 calories per 2 cups. use a ratio table to find the number of calories in 16 cups.

Answers

There are 1,440 calories in 16 cups.

16 / 2 = 8

180 x 8 = 1,440

12. The profit of a​ company, in​ dollars, is the difference between the​ company's revenue and cost. The​ cost, C(x), and​ revenue, R(x), are functions for a particular company. The x represents the number of items produced and sold to distributors.

C(x)=2300+60x

R(x)=820x−x2

Answers

Answer:

$ 142100

Step-by-step explanation:

Profit is the difference between the revenue and the cost

        P(x) = R(x) - C(x)

                = 820x - x² - (2300 + 60x)

                = 820x - x² - 2300 - 60x

                = -x² + 820x - 60x - 2300

         P(x) = -x² + 760x - 2300

We can find the maximum profit of the company by finding the maximum of the parabolic function.

a =  -1   ; b = 760  and c = -2300

       [tex]\sf \boxed{P_{max} = c - \dfrac{b^2}{4a}}[/tex]

                  [tex]\sf = -2300 - \dfrac{760^{2}}{4*(-1)}[/tex]

                  [tex]\sf = -2300 +\dfrac{577600}{4}\\\\ = -2300 + 144400\\= 142100[/tex]

[tex]\sf \boxed{P_{max}= \$ 142100}[/tex]

A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys, n (in millions), being produced in t years? n = StartFraction 2. 5 (1. 5) Over t EndFraction, t not-equals 0 n = 1. 5 t squared 1. 25 n = 1. 5 t 1. 25 n = 1. 25 times 2. 5 Superscript t.

Answers

Answer:

see the attachment!

i hope this can help you!

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