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2 years ago

Line segment YV of rectangle YVWX measures 24 units.

Mathematics

1 answer:

Anna [14]2 years ago

7 0

Answer: 8√3

<u>Step-by-step explanation:</u>

ΔXVW is a 30°-60°-90° triangle. This special triangle has corresponding sides of lengths: b - b√3 - 2b. So,

VW = b

XW = b√3

XV = 2b

Since, YV = 24, then XW = 24 and we stated above that XW = b√3. So,

24 = b√3

$\frac{24}{\sqrt{3}} = \frac{b\sqrt{3}}{\sqrt{3}}$

$\frac{24}{\sqrt{3}}$ = b

$\frac{24}{\sqrt{3}}(\frac{\sqrt{3}}{\sqrt{3}})$ = b

$\frac{24\sqrt{3}}{3}$ = b

8√3 = b

We are looking for side YX which is congruent (equal) to VW and we stated above that VW = b, So, VW = 8√3

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3 years ago

What is the height of a rectangular prism that has a volume of 280 cubic meters,a length of 8 meters, and a width of 7 meters? S

lyudmila [28]

When looking at a rectangular prism, we know that Volume = length * width * height

If we are given that the volume of the prism is 280 cubic meters (m^3), the length is 8 meters, and the width is 7 meters, we can fill in our equation.

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3 years ago

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NNADVOKAT [17]

(See the imagine for reference)
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2 years ago

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Rainbow [258]

Answer:

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Here's the work;

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2 years ago

John paid $450 for a new mountain bicycle to sell in his shop. He wants to price it so that he can offer a 10% discount but stil

Ghella [55]

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Let i be the profit realized from the sale and d be the discount made on the sale:

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