Answer:
A. The volume of the prism = 204.7 cm³
Step-by-step explanation:
The difficult part is finding the hight x in the triangle with sides 6 6 and 7.
The half of the base of this triangle = 3,5
So we have the right sided triangle with a hypothenusa of 6, one right side of 3,5 and one right side which is x (and is unknown).
Use Pythagoras to find the value of x.
x² + (3,5)² = 6²
x² = 6² - (3,5)²
x² = 36 - 12,25
x² = 23.75
x = +- SQRT(23.75)
{Only the positive part has a meaning.}
x = 4.873
So now it is easy.
The area of the triangle = 3.5 * x
with x = 4.873
The area of the triangle = 3.5 * 4.873
The area of the triangle = 17.06 cm²
The volume of the prism = 12 * the area of the triangle
The volume of the prism = 12 * 17.06
The volume of the prism = 204.67
rounded on 1 decimal.
The volume of the prism = 204.7 cm³
Answer:
a
Step-by-step explanation:
26 divided by 2 is 13
Answer:
Step-by-step explanation:
Average cost = Total cost to produce / number of items produced
Fixed cost per year = $240,000
Variable cost = $3.50s
Where s = number of shoes produced
Total cost= fixed cost + variable cost
Total cost = $240,000 + $3.50s
When average cost = $7.50
Average cost = Total cost to produce / number of items produced
7.50 = $240,000 + $3.50s / s
Cross product
7.50s = $240,000 + $3.50s
Collect like terms
7.50s - 3.50s = 240,000
4s = 240,000
divide both sides by 4
s = 240,000 / 4
= 80,000
s = 80,000
Answer:
58
Step-by-step explanation:
42+4(6-2) =
42+4(4) =
42+16 = <u>58</u>