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12345 [234]
3 years ago
13

A warehouse is 55 yards long, 35 yards wide, and 5 yards high. What is the area of the warehouse floor? If the warehouse is fill

ed to half it's height with tightly packed boxes, what is the volume of the boxes?
Mathematics
1 answer:
amid [387]3 years ago
5 0

Answer:

The area of the warehouse floor is 1925yd²

The volume of the boxes is 4812.5yd³

Step-by-step explanation:

First we have to calculate the area, for this we must multiply the length by the width

a = area

l = long = 55yd

w = width = 35yd

a = l * w

a = 55yd * 35yd

a = 1925yd²

to calculate the volume we have to multiply the area by the height

asks us for the volume for half the height so we have to divide the height by 2

a = area = 1925yd²

h = height = 5yd/2 = 2.5yd

v = volume

v = a * h

v = 1925yd² * 2.5yd

v = 4812.5yd³

The area of the warehouse floor is 1925yd²

The volume of the boxes is 4812.5yd³

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We'll use the following properties of sine and cosine to prove this:

sin(a)\cdot sin(b) = \frac12(cos(a-b) - cos(a+b))

cos(a)\cdot cos(b) = \frac12(cos(a+b) + cos(a-b))

cos(180+a) = cos(180-a)

Then it's just a matter of filling it in...

sin20sin40 * sin60sin80 = 1/2(cos20 - cos60) * 1/2 (cos20 - cos140) =

1/8( cos40 + 1 - cos160 - cos120 - cos40 - cos80 + cos80 + cos200) =

1/8(1 -  cos160 - cos120 + cos200) =

1/8(1 -  cos160 - cos120 + cos160) =

1/8(1 - cos120 ) = 1/8( 1 + 1/2 ) = 3/16

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3 years ago
Maya has 5 over 6 cup of ice cream. How many 1 over 4-cup servings are in 5 over 6 cup of ice cream? ASAP I need help
Ierofanga [76]

Answer:

Find the LCD (least common denominator)

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then multiply  {1}/{4}  by 3 and get  {3}/{12}  

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Step-by-step explanation:

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3 years ago
Jim drives his children to their sports activities outside of school. When he drives his son to baseball practice, it is a 6-km
trapecia [35]

Answer:

17.4 kilometers per week

Step-by-step explanation:

we know that

The number of kilometers that Jim drives a week is equal to the number of baseball practice multiplied by its round trip plus the number basketball practice multiplied by its round trip

Remember that

1\ km=1,000\ m

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8 4/5 - 5 1/10 <br> Please Help
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Step-by-step explanation:

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3 years ago
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What is the measure of each angle of a regular 24-gon? If necessary, round to the<br> nearest tenth.
Butoxors [25]

Answer:

165°

Step-by-step explanation:

Find the interior angle measure by using the formula, ((n - 2) x 180°) / n

Plug in 24 as n:

((n - 2) x 180°) / n

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(22 x 180°) / 24

3960 / 24

= 165

So, the measure of each angle is 165°

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3 years ago
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