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3 years ago

If the length of a side of a square is increased from 4 to 8, which of the following statements is true?

Mathematics

1 answer:

Alex Ar [27]3 years ago

5 0

Answer:

C.) The perimeter is doubled and the area is quadrupled.

Step-by-step explanation:

Original square: side = 4

Area = side^2 = 4^2 = 16 square units

Perimeter = 4 * side = 4 * 4 = 16 units

Larger square: side = 8

Area = side^2 = 8^2 = 64 square units

Perimeter = 4 * side = 4 * 8 = 32 units

Comparison of areas:

(larger square area)/(original square area) = 64/16 = 4

Comparison of perimeters:

(larger square perimeter)/(original square perimeter) = 32/16 = 2

Answer:

C.) The perimeter is doubled and the area is quadrupled.

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zavuch27 [327]

Answer:

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3 years ago

A jewelry box is in the shape of a rectangular with a volume of 528 cubic inches l. The length of the box is 12 inches and the h

Artist 52 [7]

Volume=length*height*width
528=12*5.5*w

divide both sides by 12
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3 years ago

Find the value of x.

lawyer [7]

Answer:

$\huge\boxed{x=\sqrt{70}}$

Step-by-step explanation:

ΔABC and ΔADB are similar (AAA).

Therefore the corresponging sides are in proportion:

$\dfrac{AB}{AD}=\dfrac{AC}{AB}$

Substitute:

$AB=x\\AC=7+3=10\\AD=7$

$\dfrac{x}{7}=\dfrac{10}{x}$ <em>cross multiply</em>

$(x)(x)=(7)(10)\\\\x^2=70\to x=\sqrt{70}$

4 0

3 years ago

What is the mean median range mode for 31 28 30 31?

Talja [164]

Mean is 30,median is 30.5,mode is 31.

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3 years ago

Read 2 more answers

The head of the Westlane Cultural Center wants to get a sense of how quickly pledges from donors arrive at the center. It takes

Rzqust [24]

Answer:

95.64% probability that pledges are received within 40 days

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 28, \sigma = 7$

What is the probability that pledges are received within 40 days

This is the pvalue of Z when X = 40. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{40 - 28}{7}$

$Z = 1.71$

$Z = 1.71$ has a pvalue of 0.9564

95.64% probability that pledges are received within 40 days

7 0

3 years ago