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schepotkina [342]
3 years ago
11

In a circle, a central angle whose measure is pi/2 radians intercepts an arc whose length is 3pi/2 centimeters. How many centime

ters are in the radius of the circle?
Mathematics
1 answer:
ivann1987 [24]3 years ago
4 0
<span>\frac{3\pi}{2} cm = quarter of circumference

=\frac{2r\pi}{4} \\ \\=\frac{r\pi}{2} \\ \\ \Rightarrow r=3 \text{ cm}</span>
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Evaluate g (c) = 4 - 3x when c = -3, 0, and 5
Lana71 [14]

Answer:

6.09

Step-by-step explanation:

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6 0
3 years ago
HELP IM IN DESPERATE NEED!!!<br> What is the solution to this system of equations?
Paladinen [302]

[Given]

{ x + y = 6

{ x = y + 4

[Plug-in our x value & solve]

[Given] x + y = 6

[ Plug-in] (y + 4) + y = 6

[Distribute] y + 4 + y = 6

[Combine like terms] 2y + 4 = 6

[Subtract 4 from both sides] 2y = 2

[Divide both sides by 2] y = 1

[Answer]

Third option - (5, 1)

-> You do not need to solve for x since this is the only option that has y = 1, but to solve for x we would do y + 4 = 1 + 4 = 5, so this answer fully checks correctly

Have a nice day!

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6 0
3 years ago
Pippi sold ten more cups of lemonade that cups of iced tea. She sold 120 cups in all. How many cups of lemonade did she sell?
Kamila [148]

Answer:

65  cups

Step-by-step explanation:

If she sold 10 more cups of lemonade than tea and sold 120 cups total.  I first would subtract 10 cups from 120 =110.  then I divide 110 /2 = 55 cups

The 55 cups makes it equal then I add the 10 cups back to the Lemonade to get 55+10 = 65

So your answer would be 65 cups of lemonade

7 0
3 years ago
You can upgrade lighting at your factory to LED bulbs that cost $6.95 each and last an average of 5 years. It costs S3 in labor
marshall27 [118]

Answer:

11.95 dollars

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Cost of one LED bulb = 6.95 dollars

Cost of changing one bulb = 3 dollars

Life of each bulb = 5 years.

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Hence cost of 100 lamps = 695 and

cost of changing once = 500

Total cost = 1195 dollars for 11 years

Divide this by 10 years to get average cost per year

Cost of 100 lamps per year = 1195/100 = 11.95 dollars


8 0
3 years ago
For the following right triangle, find the side length. Round your answer to the nearest hundredth
IRINA_888 [86]

Answer:9.75

Step-by-step explanation:12x12 =144 and 7x7= 49 subtract 144-49 and get 95 the square root of 95 is approximately 9.747 rounded to the nearest hundredths place is 9.75

4 0
3 years ago
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