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wariber [46]
3 years ago
11

Given a circle with measures of (C, d, and r) and a circle with measures of (C', d', and r), what is r if c/c’ = 5 and d' = 20?

Mathematics
1 answer:
PtichkaEL [24]3 years ago
7 0
The answer to your problem is. C)50
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Which equation could be used to calculate the sum of the geometric series? One-third + two-ninths + StartFraction 4 Over 27 EndF
kondaur [170]

Answer:

S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction

Step-by-step explanation:

Given the geometric series:

1/3+2/9+4/27+8/81+16/243

First we must know that the series is a finite series with just 5terms.

Before we can know the formula to calculate sum of the first five terms of the series, we must determine its common ratio (r) first.

r = (2/9)÷1/3 = 4/27÷2/9= 8/81÷4/27

r = 2/9 × 3/1

r = 2/3

Similarly;

r = 4/27×9/2

r = 2/3

Since all values of r is the as them the common ratio is 2/3.

If r< 1 in geometric series, then the formula for finding its sum is applicable

Sn = a(1-rⁿ)/1-r

a is the first term = 1/3

r is the common ratio = 2/3

n is the number of terms = 5

Substituting the values in the formula we have:

S5 = 1/3{1-(2/3)^5}/1-2/3

This gives the requires equation

S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction

4 0
3 years ago
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The point A has co-ordinates (-4,6) and the point B has co-ordinates (7,-2).
Serhud [2]

Answer:

√185 or 13.60 units to the nearest hundredth.

Step-by-step explanation:

For the points (x1,y1) and (x2,y2) the length between the points is given by:

L = √ [ (x2-x1)^2 + (y2-y1)^]

So here we have:

Length of AB  √ [ (7- - 4)^2 + (-2 - 6)^2]

=  √ (121 + 64)

= √185.

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3 years ago
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A video game has been developed whereby the player must earn a certain number of experience points before progressing to the nex
Katyanochek1 [597]
61 experience points

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3 years ago
51. The formula d=rt gives the
Reil [10]

Answer:

C. 56

Step-by-step explanation:

252/4.5=56

Using the formula you can get this answer

3 0
3 years ago
How do you round 62.8 to the nearest square foot
Maksim231197 [3]
To the nearest square foot is the same as to the nearest whole number. That would be 63.
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3 years ago
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