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skad [1K]
3 years ago
13

What is the answer to this problem?

Mathematics
1 answer:
astra-53 [7]3 years ago
5 0

Answer:

r=\dfrac{2}{3}\ yards

Step-by-step explanation:

Given that,

The volume of a sphere is, V=\dfrac{32}{81}\pi cubic yards

We need to find the radius of the sphere. The formula for the volume of a sphere is given by :

V=\dfrac{4}{3}\pi r^2

Put all the values,

\dfrac{32}{81}\pi=\dfrac{4}{3}\pi r^3\\\\r^3=\dfrac{8}{27}\\\\r=\dfrac{2}{3}\ yards

So, the radius of the sphere is equal to \dfrac{2}{3}\ yards.

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Triangle def has vertices d(2,-5) e(6,-1) and f(5,6) verify that def is isosceles
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To prove that the given triangle is an isosceles, two of its sides must have equal lengths.

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Between E(6,-1) and F(5,6):
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Between D(2,-5) and F(5,6)
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The bisector of angle F is a line segment from vertex F to the midpoint of line DE.

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The midpoint is at (4,-3).
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y - 6 = [(⁻3 - 6)/(4 - 6)](x - 5)
y - 6 = (9/2)(x - 5)
2(y - 6) = 9(x - 5)
2y - 12 = 9x - 45
<em>2y - 9x = -33 </em>

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