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3 years ago

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Clarissa made a scale drawing of a rectangle. She used a scale factor of 3 to draw the new rectangle. How does the length of the

new rectangle compare to the original?
A.The length of the new rectangle is 1/3 the length of the original.
B.The length of the new rectangle is 1/12 the length of the original.
C.The length of the new rectangle is 3 times the length of the original.
D.The length of the new rectangle is 12 times the length of the original.
WITH EXPLANATION

2 answers:

larisa86 [58]3 years ago

7 0

Answer:

C. The length of the new rectangle is 3 times the length of the original.

Step-by-step explanation:

This rectangle is basically being dilated. Meaning it is being either reduced of enlarged. (In this case, enlarged) Since the scale factor is 3, you would multiply the length by 3 and that would be your new length.

zvonat [6]3 years ago

6 0

Answer:

The answer is c

Step-by-step explanation:

I did it on edge

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Tasya [4]

Answer:

3.5ft

Step-by-step explanation:

To calculate the volume of something, you need to know the formula. Length x width x height. You already know the width, and the height, so you need to find the length.

4ft x 6ft x 3.5ft = 84ft^3

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3 years ago

Vector u has initial point at (3, 9) and terminal point at (–7, 5). Vector v has initial point at (1, –4) and terminal point at

spin [16.1K]

Answer:

⟨-5, -1⟩

Step-by-step explanation:

Vector:

A vector is given by its endpoint subtracted by its initial point.

Vector u has initial point at (3, 9) and terminal point at (–7, 5)

Then

$u = (-7, 5) - (3,9) = (-7 - 3, 5 - 9) = (-10,-4)$

Vector v has initial point at (1, –4) and terminal point at (6, –1).

Then

$v = (6,-1) - (1,-4) = (6-1,-1-(-4)) = (5,3)$

What is u + v in component form?

$u + v = (-10,-4) + (5,3) = (-10+5,-4+3) = (-5,-1)$

⟨-5, -1⟩ is the answer.

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3 years ago

Please helpppppp meeeee!

yan [13]

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3 years ago

Read 2 more answers

Which expression is equivalent to<br> 1/4-3/4x?

umka21 [38]

Answer:

Alternative form: 0.25(1-3x)

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3 years ago

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You are given the following information obtained from a random sample of 5 observations. 20 18 17 22 18 At 90% confidence, you w

Margaret [11]

Answer:

a

The null hypothesis is

$H_o : \mu = 21$

The Alternative hypothesis is

$H_a : \mu< 21$

b

$\sigma_{\= x} = 0.8944$

c

$t = -2.236$

d

Yes the mean population is significantly less than 21.

Step-by-step explanation:

From the question we are given

a set of data

20 18 17 22 18

The confidence level is 90%

The sample size is n = 5

Generally the mean of the sample is mathematically evaluated as

$\= x = \frac{20 + 18 + 17 + 22 + 18}{5}$

$\= x = 19$

The standard deviation is evaluated as

$\sigma = \sqrt{ \frac{\sum (x_i - \= x)^2}{n} }$

$\sigma = \sqrt{ \frac{ ( 20- 19 )^2 + ( 18- 19 )^2 +( 17- 19 )^2 +( 22- 19 )^2 +( 18- 19 )^2 }{5} }$

$\sigma = 2$

Now the confidence level is given as 90 % hence the level of significance can be evaluated as

$\alpha = 100 - 90$

$\alpha = 10$ %

$\alpha =0.10$

Now the null hypothesis is

$H_o : \mu = 21$

the Alternative hypothesis is

$H_a : \mu< 21$

The standard error of mean is mathematically evaluated as

$\sigma_{\= x} = \frac{\sigma}{ \sqrt{n} }$

substituting values

$\sigma_{\= x} = \frac{2}{ \sqrt{5 } }$

$\sigma_{\= x} = 0.8944$

The test statistic is evaluated as

$t = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }$

substituting values

$t = \frac{ 19 - 21 }{ 0.8944 }$

$t = -2.236$

The critical value of the level of significance is obtained from the critical value table for z values as

$z_{0.10} = 1.28$

Looking at the obtained value we see that $z_{0.10}$ is greater than the test statistics value so the null hypothesis is rejected

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3 years ago