Answer:
r≈4.51yd
Step-by-step explanation:
The surface area of a sphere is given by the formula SA = 4r2, where r is the radius of the sphere. If the surface area of a sphere is 256 square yards, then the radius of the sphere is 4.51yd.
Formula: A=4πr^2
The slope of a line hat contains the following points: (17, -12) and (7, 8) is -2.
<h3>How to find the slope of a line?</h3>
The slope of a line is the change in dependent variable with respect to the change in the independent variable.
The slope of a line is rise over run.
The slope of a line can be represented as follows;
m = slope = y₂ - y₁ / x₂ - x₁
Hence, using (17, - 12) and (7, 8)
x₁ = 17
x₂ = 7
y₁ = - 12
y₂ = 8
slope = 8 + 12 / 7 - 17
slope = 20 / - 10
slope = -2
learn more on slope here: brainly.com/question/26650191
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Answer: No
Step-by-step explanation: While he is partly correct, it is not impossible. The odds are 1 in 6, but just because he already rolled it once, doesn’t mean he cannot do it again.
Replace x and y with the given values and solve the equations:
A) 3(5) + 2 = 17
B) 2(5)^2 = 50
C) (5-2)^2 = 9
Answer:
V=258 πvu
Step-by-step explanation:
Knowing that to find the solid of revolution is V=πR²h, where R² = y = f(x) and h = a differential of x, we have that (according to the graph)
dV=π(4-32x)²dx, integrating on both sides ∫dV=π∫(4-32x)²dx;
let's solve ∫(4-32x)²dx = ∫(16-256x+1024x²)dx = 16∫dx-256∫xdx+1024∫x²dx =
16x-128x²+(1024/3)x³ evaluated between 0≤x≤1/8 plus 1/8∠x≤1, also
V=π/8(16.-128.+(1024/3))+π(16.1-128.1+(1024/3).1 = π/8(48-384+1024)/3+π(16.1-128.1+(1024/3).1 = π688/24+ π688/3 =
258 πvu
Note:
vu = volume units
Due to "inconvenience" to visualize graph 1 in its real scale its scale was modified in graph 2 and 3 respectively