Answer:
Correct answer: V = 82.5 in³
Step-by-step explanation:
This is a regular five sided prism.
Given:
The base edge a = 4 in
The radius of the inscribed circle or the height of an isosceles triangle
Ri = h = 2.75 in
Prism height H = 3 in
The base consists of five isosceles triangles
The area of one triangle is:
A₁ = a · h / 2
The area of the base is:
B = 5 · A₁ = 5 · a · h / 2
B = 5 · 4 · 2.75 / 2 = 27.5 in²
The volume of the prism is:
V = B · H = 27.5 · 3 = 82.5 in³
V = 82.5 in³
God is with you!!!
It is the first one for sure! Hope this helps
Answer:
Slope =
, X-intercept = 8 , Y-intercept = -4
Step-by-step explanation:
the following equation is given in slope intercept form which is y = mx + b where m is the slope and b is the y intercept
since m =
and b = -4, we can say our slope is
and y intercept is -4.
Recall that x intercept occurs when y = 0 so plug y = 0 in the equation then solve for x
0 =
x - 4
add 4 to both sides,
4 =
x
multiply by 2 on both sides,
4*2 = x
8 = x
x = 8
so our x-intercept is 8
Answer:
30%
Step-by-step explanation:
Your chance of scoring a 5 is 30%
there are only 3 tangent lines can be drawn that touch both circles
ok done. Thank to me :>