Answer:
-12
Step-by-step explanation:
plug in -1 into the equation which is going to be (4*-1)3
you multiply what is in the parenthesis first and after is going to be (-4)3
lastly your going to multiply -4*3 and it is going to equal to -12.
When finding the reciprocal, it is basicaly flipping the numerator and denominator of the number. For instance, the reciporcal of 2 is 1/2, because the denominator of 2 would be 1. For an example more straight forward, the reciporacle of 3/5 is 5/3. This applied to the question goes as followed.
1. 3/5 is 5/3
2. 1/4 is 4
3. 1 is 1
Similarly when dividing fractions or an integer to a fraction, the fraction that is dividing the number turns into the reciprocal then you would multiply.
4. 3/(3/4) is 3*4/3= 4
5. 5/(3/4) is 5*(4/3)= 20/3
6. 8/(4/7) is 8*(7/3)= 56/3
7. 6/(3/5) is 6*(5/3)= 10
8. 2/(5/8) is 2*(8/5)= 16/5
9. 4/(8/9) is 4*(9/8)= 9/2
<u>Given</u>:
The sides of the base of the triangle are 8, 15 and 17.
The height of the prism is 15 units.
We need to determine the volume of the right triangular prism.
<u>Area of the base of the triangle:</u>
The area of the base of the triangle can be determined using the Heron's formula.
Substituting a = 8, b = 15 and c = 17. Thus, we have;
Using Heron's formula, we have;
Thus, the area of the base of the right triangular prism is 36 square units.
<u>Volume of the right triangular prism:</u>
The volume of the right triangular prism can be determined using the formula,
where 
is the area of the base of the prism and h is the height of the prism.
Substituting the values, we have;
Thus, the volume of the right triangular prism is 450 cubic units.
They will need 125 square feet
You have to find the area of the total which will be :
16 x 10 = 160 square feet
Then find the small area that is missing
5 x 7 = 35 square feet
Subtract: 160 - 35 = 125 square feet
