a soccer goal is in the shape of a triangular prism. the base and height of the right triangles at the sides of the goal measure 4 feet and 8 feet and the opening along the front is 24 feet long. how many cubic feet of space is 24 feet long. how many cubic feet of space is contained within this goal?

Answers

Answer 1

Answer: The volume of a triangular prism with a known base and height is the same as half the volume of a rectangular prism with the same base and height (since a right triangle is simply a rectangle sliced diagonally).

So, we will first solve this as if it were a rectangular prism, finding volume accordingly.

4 * 8 = 32

32 * 24 = 768

Now, we know what the volume of a rectangular prism of those dimensions would be, so all we have to do is divide by 2 to find the volume of the triangular prism that is the soccer goal.

768 / 2 = 384

The volume of the soccer goal is 384 cubic feet.
Hope that helped! =)

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Rachel works for a clothing store. She is paid $150 every week plus a 10% commission on any clothes that she sells.

Answers

Answer:

$165

Step-by-step explanation:

Rachel works for a clothing store. She is paid $150 every week plus a 10% commission on any clothes that she sells.

Let's find the total amount she is being paid per week

Amount paid originally = $150

Percentage Commission = 10%

Commission = 10% of 150

Commission = 0.1×150

Commission = $15

Total amount paid = originally amount + Commission

Total amount paid = $150+$15

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Matthew is paid $8.50 for each acre he mows on his grandparent's estate. He mows 50% of an acre in 3/5 of an hour.

Answers

Question

At the rate, how much will Mathew be paid for two hours of moving? Round to the nearest cent.

Answer:

exact answer =$19.83

rounded answer = $20

Step-by-step explanation:

3/5 = 0.6, so in 0.6 hours he can do 50% so in 2 hours that has 3 0.6 so 150% and the remaining time is 0.2 hours thats 1/3 of 0.6 so just divide 50% by 3 you'll get around 16.7% so in 2 hours he finished 166.7%

16.7% = 1/3 of 50% = 8.50 = 8.50/3 = 2.83

so 8.50 + 8.50 + 2.83 =

$19.83

Solve equation for the given variable 7x + 18 = -24

Answers

ok, the first thing we need to do it to isolate the variable.

7x+18=-24
-18 -18
7x=-42

then divide to cancel out multiplication

7x=-42
--- ---
7 7

x=-6

7x + 18 = -24

Take 18 to the other side.
7x + 18 - (18) = -24 - (18)
7x = -42

Divide both sides by 7:
$(7x)/(7)$ = $-(42)/(7)$
7 and 7 cancels out

x = -6

Help with number 11? Please

Answers

m(<BAC) = 180 - 70 - 65 = 45 degrees;
but, m(<A) < m(<B) < m(<C) => BC < AC < AB (3);

A local bowling alley charges $3 per game, plus $5 to rent a pair of shoes. Write an algebraic expression that models the cost of renting one pair shoes and bowling g games.

Answers

Answer:

5+3g

Step-by-step explanation:

This is because you pay $5 for shoes and $3 per game. Since the amount of games is unknown you put g.

I need it asap answer

Answers

Answer:

D. As the number of students in a class increases, the average rating score of the class decreases.

Hope this helps!

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