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valentinak56 [21]
3 years ago
5

a circle with circumference 20 has an arc with a 72 degrees central angle. what's the length of the arc

Mathematics
1 answer:
Ugo [173]3 years ago
6 0

Answer:

4 units.

Step-by-step explanation:

Let's use a ratio

72 : 360

8  :  40

1   :   5

The arc is \frac{1}{5} of the total circumference.

\frac{1}{5} *20=4

The arc length is 4

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Sergeeva-Olga [200]

Answer:

1. x > 9

2. n < 5

3. b > 2

4. p < 4

5. p < -2

6. m > 0

Step-by-step explanation:

1.

x - 2 - 2 > 5

x - 4 > 5

x > 5 + 4

x > 9

2.

5 + n < 2 x 5

n < 10 - 5

n < 5

3.

50b > 100

b > 100 : 50

b > 2

4.

-5 + p + 2 < 1

p < 1 + 3

p < 4

5.

p + 6 + 8 < 12

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6.

80m - 64 - 2 > -66

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3 0
3 years ago
What is the probability of the spinner landing on an odd number? a. 1/4 b. 1/3 c. 1/2 d. 3/4
kogti [31]

Answer:

1/2 just finished it i got a 90

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5 0
3 years ago
G a family has five children. if it is just as likely to have a boy as a girl, what is the probability that 3 of the children ar
slamgirl [31]
There is a 3/5 or 60% probability that there will be 3 girls and a 2/5 or 40% probability that there will be boys 

3 0
3 years ago
A line passes through the point (-6, 8) and has a slope of
zvonat [6]

Answer:

y = 3x + 26

Step-by-step explanation:

Plug in the slope and the given point into the equation, y = mx + b

Solve for b (y intercept)

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8 = -18 + b

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7 0
3 years ago
Read 2 more answers
Please help me anyone i need this in 10 minutes
Radda [10]

Given:

The rate of interest on three accounts are 7%, 8%, 9%.

She has twice as much money invested at 8% as she does in 7%.

She has three times as much at 9% as she has at 7%.

Total interest for the year is $150.

To find:

Amount invested on each rate.

Solution:

Let x be the amount invested at 7%. Then,

The amount invested at 8% = 2x

The amount invested at 9% = 3x

Total interest for the year is $150.

x\times \dfrac{7}{100}+2x\times \dfrac{8}{100}+3x\times \dfrac{9}{100}=150

Multiply both sides by 100.

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Divide both sides by 50.

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The amount invested at 8% is

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The amount invested at 9% is

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Therefore, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.

6 0
3 years ago
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