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AlekseyPX
3 years ago
9

The cargo box of an 18-wheeler truck has an inside length of 39.6 feet,width of 7.6 feet,and a height of 8.8 feet.What is the ca

rrying capacity (volume) of the cargo box of this truck?Explain your thinking.
Mathematics
1 answer:
kipiarov [429]3 years ago
3 0
Sorry this is not related to your question but can you checkout my questions on my account/profile because I need help!!! (:
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Can someone help me plz
viva [34]

The side length of the square base is 18 inches and the height of the pyramid is 9 inches.

Step-by-step explanation:

Step 1:

The volume of a square pyramid is calculated by multiplying the square of the base edge with the height of the pyramid and \frac{1}{3}.

The volume of a square pyramid, V = a^{2} \frac{h}{3}.

Step 2:

From the given diagram, the base edge is the length of the four base edges which is x inches in this pyramid. a = x inches.

The height of the pyramid is from the base to the top, h = \frac{x}{2} inches .

The volume of a square pyramid, V = 972.

Substituting the known values, we get

972 = (x)^{2} (\frac{x}{2})  (\frac{1}{3} ) = \frac{x^{3} }{6} .

x^{3} = 6(972) = 5,832. x = \sqrt[3]{5,832} = 18.

So x is 18 inches long.

The side length = x = 18 inches.

The height of the pyramid = \frac{x}{2} = \frac{18}{2} = 9 inches.

4 0
3 years ago
a car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. Write an equation to represent the distance, d, that the car tra
marissa [1.9K]

Answer:

d(m) = (1.05 miles/min)*m

Step-by-step explanation:

Divide 2 5/8 miles by 3 1/2 minutes to obtain the unit rate (miles per minute):

2 5/8 miles

--------------------

3 1/2 minutes


First, convert 2 5/8 miles and 3 1/2 minutes to improper fractions:

21/8 miles             21/8 miles

------------------  =  ----------------------  =  21/20 miles/minute

5/2 minutes         20/8 minutes


The constant rate is (21/20) miles/minute, or 1.05 miles/minute.

Thus, the equation representing the distance, d, that the car travels in m minutes is

d(m) = (1.05 miles/min)*m

8 0
3 years ago
Read 2 more answers
The angle of a triangle have a sum of how many degrees
11Alexandr11 [23.1K]

Answer:

The sum of the interior angles in a triangle is always 180. So, if two angles sum up to 136 degrees, the remaining angle must complement to 180, and it must be

180-136=44

degrees

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP
blondinia [14]
- The Temperatures are on the top column numbers.

- The Wind speeds are on the left lateral numbers.

Answer: D, 23°F.

6 0
3 years ago
Show the work please.
sladkih [1.3K]

In any given right triangle, the Pythagorean Theorem can be used to show that it is a right triangle.

The Pythagorean Theorem is a^2+b^2=c^2. In a right triangle, a and b would be the shorter legs of the triangle, while c would be the hypotenuse.

So for this problem, you would plug in the numbers in the order that they are listed to see if it is a right triangle.

F would be: 2^2+4^2=7^2. In this case, the sides are not equal.

G would be: 6^2+8^2=10^2. In this case, 100=100. So this is a right triangle.

H would be: 4^2+9^2=12^2. The sides are not equal.

J would be: 5^2+10^2=15^2. The sides are not equal.

Your answer would be G, since the sides are equal. Hope this helps! :)

3 0
3 years ago
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