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zzz [600]
4 years ago
9

A sphere is inscribed in a cylinder. Use complete sentences and geometric formulas to compare the surface area of the sphere and

the lateral area of the cylinder.
Mathematics
1 answer:
grandymaker [24]4 years ago
7 0

Answer:

1 : 1

Step-by-step explanation:

When a circle is inscribed in a cylinder, the height of the cylinder is equal to the diameter of the sphere and the radius of the cylinder is same as that of the sphere.

Let the radius of sphere is r.

height of cylinder, h = 2r

radius of cylinder = r

Surface area of sphere, A = 4πr²

lateral surface area of cylinder, A' = 2 πrh

A' = 2πr x 2r = 4πr²

The ratio of surface area of sphere to the lateral surface area of cylinder is 1 : 1.

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Find the equation of the line that is perpendicular to y=-2x+1 and contains the point (8, 2).
AleksAgata [21]

Answer:

y = 1/2x - 2

Step-by-step explanation:

In order for a line to be perpendicular to another, the lines must have opposite reciprocal slopes.

Example of an opposite reciprocal slope: -2 ⇒ 1/2

Insert the information into the point-slope formula:

y-y_1=m(x-x_1)\\\\y-2=\frac{1}{2}(x-8)\\\\y-2=\frac{1}{2}x-4\\\\y=\frac{1}{2}x-2

4 0
3 years ago
Hi pls help i’ll give brainliest
yawa3891 [41]

Answer:

C. In one of the spiral arms, about halfway between the center and the edge.

Step-by-step explanation:

Because our solar system is the the Orion Arm of the Milky Way (which is located between the center and the edge of the galaxy).

6 0
3 years ago
Which relation is not a function?
jok3333 [9.3K]
It would be w beacuse xy and w
6 0
3 years ago
HELP WITH MY GHGGHH THAKSSS
Charra [1.4K]

Therefore, \frac{8}{7}= 1.14 cannot represent the probability of an event. So, option C is correct.

We need to identify which of the given option cannot represent the probability of an event.

<h3>What is probability?</h3>

The probability of an event occurring is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out. The outcome of an event may be known to us or unknown to us. When this happens, we say that there is a chance that the event will happen or not.

By simply dividing the favourable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favourable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

Now, \frac{1}{14} =0.0714, \frac{8}{7}= 1.14 and \frac{20}{21}=0.952.

Therefore, \frac{8}{7}= 1.14 cannot represent the probability of an event. So, option C is correct.

To learn more about the probability visit:

brainly.com/question/11234923.

#SPJ1

4 0
3 years ago
My question is:
8090 [49]
Uh it's 5? I'm confused
8 0
4 years ago
Read 2 more answers
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