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butalik [34]
3 years ago
14

Find the missing measure for a right circular cone given the following information. Find V if r = 2 and L.A. = 12pie

Mathematics
1 answer:
adell [148]3 years ago
4 0
The lateral area is pi*r*s where s is the slant height of the cone. So in this case pi*r*s=12pi so the slant height s = 12pi / 2pi = 6. The height of the cone will be h = sqrt(6^2 - 2^2) by Pythagoras or h=sqrt(32) = 4*sqrt(2). Now for the volume: for a cone V = (1/3)*pi*r^2*h so here V = (1/3)*pi*2^2*4*sqrt(2) which gives us V = (16/3)*pi*sqrt(2) or answer A.<span>
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Step-by-step explanation:

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8 0
2 years ago
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Which point shows the location of 5 – 2i on the complex plane below? On a coordinate plane, points A, B, C, and D are shown. Poi
Romashka-Z-Leto [24]

Answer:

The Point C shows the location of 5-2i in the complex plane: 5 points to the right of the origin and 2 points down from the origin.

Step-by-step explanation:

We have the complex number 5-2i and we have to show the location of the point that represents that number in the complex plane

In the complex plane the real numbers are located in the horizontal axis, increasing to the right. The positives real numbers are at the right of the origin and the negatives to the left.

The complex numbers are located in the vertical axis, with the positives over the origin and the negatives below the origin.

This complex number 5-2i is the sum of a real part (5) and a imaginary part (-2i), so the point will be 5 units rigth on the horizontal axis (for the real part) and 2 units down in the vertical axis (for the imaginary part).

8 0
3 years ago
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anastassius [24]

Answer:

18:12

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3 years ago
In a group of 120 students,90 students study mathematics and 72 study science. if 10 of the student does not study any subject
barxatty [35]

Answer:

Step-by-step explanation:

Total students = 120

Number of students studying Mathematics P(A) = 90

Number of students studying Science P(B) = 72

Number of students who doesn't study both subjects P(AUB)'= 10

1) Number of students studying atleast on subject = 120 -10 = 110

2) Number of students studying both math and science = (90 +72) -110

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3) Number of students studying only mathematics = 90 -52 = 38

4) Number of students studying only science = 72 -52 = 20

4 0
3 years ago
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