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2 years ago

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A prism with a heart-shaped base is sliced parallel to the base. What shape is formed?

1 answer:

e-lub [12.9K]2 years ago

8 0

The shape formed, when a prism with a heart-shaped base is sliced parallel to the base, will be congruent to its base. Hence, it will also be <u>heart-shaped</u>.

A prism is a polyhedron made up of n parallelogram faces that connect the n-sided polygon base, the second base, which is a translated duplicate of the first base, and the n faces. The bases are translated into all cross-sections that are parallel to them.

In the question, we are informed that a prism with a heart-shaped base is sliced parallel to the base.

We are asked what shape is formed.

From the above discussion, we know that the bases are translated into all cross-sections that are parallel to them, that is, all cross-sections parallel to the base, will be congruent to the base.

Thus, the shape formed, when a prism with a heart-shaped base is sliced parallel to the base, will be congruent to its base. Hence, it will also be <u>heart-shaped</u>.

Learn more about prisms at

brainly.com/question/3594469

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Katie is making lemonade from a powder mix.

beks73 [17]

Answer:

a) 3 gallons

b) 20 scoops

Step-by-step explanation:

Ratio values can be multiplied by a suitable constant to obtain an equivalent ratio.

You have ...

scoops : gallons = 4 : 1 = 12 : 3 = 20 : 5

a) 3 gallons of water should be used with 12 scoops of mix

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2 years ago

A bicycle company is designing women's bicycle frames The frames can accommodate any woman taller than 54.5 inches. Given that t

mariarad [96]

Using the normal distribution, it is found that 0.13% of American women CANNOT use the bicycles designed by this company.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 65, \sigma = 3.5$

The proportion of women that cannot use the bikes(smaller than 54.5 inches) is the <u>p-value of Z when X = 54.5</u>, hence:

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

$Z = \frac{54.5 - 65}{3.5}$

Z = -3

Z = -3 has a p-value of 0.0013.

0.0013 = 0.13% of American women CANNOT use the bicycles designed by this company.

More can be learned about the normal distribution at brainly.com/question/27850813

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2 years ago

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Anastaziya [24]

Answer:

1+2i

Step-by-step explanation:

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4 years ago

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Lana71 [14]

Answer:

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Step-by-step explanation:

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3 years ago

It dont matter which one you solve I dont care i just need them to be solve by tommrow Thanks

Anarel [89]

3) 5 miles = 60 mins

1 mile = 12 mins because

5 divided by 60 = 12

ANSWER = 12 mins

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3 years ago