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suter [353]
4 years ago
11

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:
schepotkina [342]4 years ago
4 0

Answer:

  27π cm^2

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr^2

So, the area of a circle with radius 6 cm is ...

  A = π(6 cm)^2 = 36π cm^2

The shaded portion of the given figure is 3/4 of a full circle of radius 6 cm, so has an area of ...

  (3/4)(36π cm^2) = 27π cm^2 . . . . shaded area

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What is the extracts volume of the largest cone that can fit into a cube with edges of 10 inches
Aneli [31]
Volume of a cone = π r² h/3

I envisioned a cone inside a cube. I only identified the necessary value to compute for the exact volume of the largest cone.

Edges of the cube is 10 inches. When the circle part of the cone is placed in the circle, the diameter would be 10 inches also. I divided it by 2 to get the value of the radius, resulting to 5 inches.

The height of the cone is also the height of the cube. Thus, it is 10 inches.

Volume of the cone = 3.14 * (5in)² * 10in/3
V = 3.14 * 25in² * 3.33 in
V = 261.405 in³ or 261.41 in³  VOLUME OF THE LARGEST CONE THAT CAN FIT IN A 10 INCH CUBE

4 0
3 years ago
What is the answer for -6d < 24
hjlf

9514 1404 393

Answer:

  d > -4

Step-by-step explanation:

Divide both sides of the inequality by -6. That requires the sense of the comparison to be reversed.

  (-6d)/(-6) > (24)/(-6)

  d > -4

5 0
3 years ago
PLEASE HELP ASAPPPPP THANK YOU
Arada [10]

Answer:

i wish i could help u!!!!!!

Step-by-step explanation:

uuuhhhhh i hate that i kinda suck at math

anyway, i'll give this my best shot

The midsegment of a triangle is a line segment that connects the midpoints of two sides ofrigidity to structures. In the support for the image shown shown, the crossbar GJK is a midsegment of GFK

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8 0
3 years ago
Evaluate x square2 +12,when x=3
GarryVolchara [31]

Answer:

21

Step-by-step explanation:

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6 0
3 years ago
A scientist has collected the following data on the population of a bacteria colony over a thirty-minute period:
blagie [28]

\huge \bold \green{Question}

A scientist has collected the following data on the population of a bacteria colony over a thirty-minute period:

5 minutes: 78,000

10 minutes: 234,000

15 minutes: 657,000

20 minutes: 1,784,000

25 minutes: 5,040,000

30 minutes: 14,980,000

Which type of graph would be best to use to display the growth of the colony?

A.) a bar graph

B.) a circle graph

C.) a histogram

D.) a line graph

\huge \bold \red{Answer}

An bar graph suits the best in this type of study because we can easily understand the growth and decrease of that particular thing which is being studied.

7 0
3 years ago
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