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VikaD [51]
3 years ago
15

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

Mathematics
1 answer:
Anna [14]3 years ago
7 0
The shaded areas add to 2/5 of the area of the circle, which is given by
  A = πr²

Then the shaded area is ...
  (2/5)A = (2/5)π(10 in)²
  shaded area = 40π in²

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Each face of a small cube has a surface area of 0.25 square meters. A larger cube has edges that are six times as long as the ed
Dennis_Churaev [7]

Answer:

D. 27 meters cubed

Step-by-step explanation:

The first step is to find the edge length of the small cube. The square root of 0.25 is 0.5, meaning that a larger cube with six times the edge length will have an edge of 0.5*6=3 meters. 3 meters cubed is 27 cubic meters, or option D. Hope this helps!

3 0
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Members of the Science Club went to a history museum. It cost $7.25 for each member of the club. If 90 members went to the museu
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5 0
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What is the length of ST?
adell [148]
Hi there!

Since ST is a tangent to the circle, we can use the relationship: tangent squared = external secant segment x entire secant segment.

WORK:
(I will be using x in place of ST)
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4 0
3 years ago
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3 0
3 years ago
The straight line joining the points A(3,-5) and B(6,k) has a gradient of 4. Work out the value of k.
BaLLatris [955]

The straight line joining the points A(3,-5) and B(6,k) has a gradient of 4.

Gradient is the slope

So the slope of the line joining the points A(3,-5) and B(6,k) is 4

Slope of line joining two points = \frac{y_2-y_1}{x_2-x_1}

A(3,-5) and B(6,k) are (x1,y1)  and (x2,y2)

slope = \frac{y_2-y_1}{x_2-x_1}

slope = \frac{k-(-5)}{6-3}=\frac{k+5)}{3}

We know slope =4

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Cross multiply  and solve for k

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k = 7

The value of k = 7

7 0
3 years ago
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