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1 year ago

A restaurant’s commercial refrigerator has a capacity of 120 cubic feet. It is a rectangular prism 6 feet tall.

Mathematics

1 answer:

HACTEHA [7]1 year ago

5 0

Answer:

4 feet by 5 feet

1 foot by 20 feet

2 feet by 10 feet

Step-by-step explanation:

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What is the length of BC , rounded to the nearest tenth?

Arte-miy333 [17]

Step $1$

In the right triangle ADB

Find the length of the segment AB

Applying the Pythagorean Theorem

$AB^{2} =AD^{2}+BD^{2}$

we have

$AD=5\ units\\BD=12\ units$

substitute the values

$AB^{2}=5^{2}+12^{2}$

$AB^{2}=169$

$AB=13\ units$

Step $2$

In the right triangle ADB

Find the cosine of the angle BAD

we know that

$cos(BAD)=\frac{adjacent\ side }{hypotenuse}=\frac{AD}{AB}=\frac{5}{13}$

Step $3$

In the right triangle ABC

Find the length of the segment AC

we know that

$cos(BAC)=cos (BAD)=\frac{5}{13}$

$cos(BAC)=\frac{adjacent\ side }{hypotenuse}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{13}{AC}$

solve for AC

$AC=(13*13)/5=33.8\ units$

Step $4$

Find the length of the segment DC

we know that

$DC=AC-AD$

we have

$AC=33.8\ units$

$AD=5\ units$

substitute the values

$DC=33.8\ units-5\ units$

$DC=28.8\ units$

Step $5$

Find the length of the segment BC

In the right triangle BDC

Applying the Pythagorean Theorem

$BC^{2} =BD^{2}+DC^{2}$

we have

$BD=12\ units\\DC=28.8\ units$

substitute the values

$BC^{2}=12^{2}+28.8^{2}$

$BC^{2}=973.44$

$BC=31.2\ units$

therefore

the answer is

$BC=31.2\ units$

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klasskru [66]

Answer:

1.5

18 and 33

Step-by-step explanation:2.

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Jeremy bought 5 CD's and a $12 DVD. If c represents the cost of a single CD, write an equation that represents the total cost.

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Let x represent the total cost, so i have this equation:
x=5c+12. Hope it help!

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2 years ago

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LenKa [72]

Answer:

0.04 or 4%

Step-by-step explanation:

point estimate of proportion:

(0.6+0.68)/2

1.28/2

0.64

Margin of error:

0.68 - 0.64 = 0.04

0.04×100 = 4%

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