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:
Step-by-step explanation:
I think you mean solve for x
Set up a proportion.
The proportion should be set up as
Large Parts of ADE = Similar Parts of ABC
DE/BC = AD/AB
DE = x
BC = 6
AD = 20
AB = 10
x/6 = 20/10 Multiply by 6
x = 20*6 / 10
x = 120 / 10
x = 12
F(x) basically just substitutes the "y"
so you would bring everything over to one side
y + 3 = 0
subtract 3
y = -3
then
f(x) = -3
That is B)
No i am horrible in it and everytime i come to ask questions nobody helps :(
