Answer:
The desired radius is r = 7.5 inches
Step-by-step explanation:
The formula for the volume of a sphere of radius r is V = (4/3)πr³. A hemisphere is half a full sphere, so the formula for the volume of a hemisphere of radius r is (4/3)(1/2)πr³, or (2/3)πr³.
We know that the volume of the hemisphere is 885 in³:
885 in³ = (2/3)πr³ and need to solve this first for r³ and then for r.
This is equivalent to:
885 in³ = (2π/3)r³.
We can now isolate r³ by multiplying both sides of this equation by (3 / [2π]):
(3 / [2π])(885 in³) = (3 / [2π])(2π/3)r³ = r³
Then r³ = 422.556 in³
Finally, we find the desired hemisphere radius by taking the cube root of both sides of the above equation:
r = ∛(422.556 in³) = 7.5 in (which is to the nearest tenth of an inch)
The desired radius is r = 7.5 inches
The area of the triangle can be calculated through the equation,
A = sqrt ((s)(s - a)(s - b)(s - c))
where A is area, s is the semiperimeter ((a + b + c)/2), a, b, and c are the sides given above.
The presented equation above is the Heron's formula.
Substituting the known values,
s = (8.7 + 10.1 + 9.8) / 2
s = 14.3
A = sqrt ((14.3)(14.3 - 8.7)(14.3 - 10.1)(14.3 - 9.8))
<em>A = 38.9 units squared
</em>Thus, the answer to this item is not among the choices. <em>
</em>
The value of x is
-4x + 8 = 42
-4x = 42 -8
-4x = 34
x = -8,5
Answer:
7 to the right
Step-by-step explanation:
X= 115x95 this is because when you solve it will give you your answer
