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Rus_ich [418]
3 years ago
15

Find the length of an arc made by a 180-degree central angle in a circle with a 10ft radius

Mathematics
1 answer:
mixas84 [53]3 years ago
8 0

Answer:

the length of an arc = 10π ft.

Step-by-step explanation:

The length of an arc with angle Θ and radius r will be equal r * Θ

note the angle must be in radian

Given: Θ = 180° = π  and radius = r = 10 ft.

<u>So, the length of the arc = π * 10 = 10π ft.</u>

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lara31 [8.8K]
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3 0
3 years ago
Factor the expression. 9b2 – 25
rewona [7]

Answer: (3b + 5)(3b - 5)

Because both terms, 9b² and 25, are perfect squares, you can factor by taking the square roots of both terms.

The square root of 9b² is 3b (3b × 3b = 9b²).

The square root of 25 is 5 (5 × 5 = 25).

9b² - 25 has a negative, so the factored expression would be

(3b + 5)(3b - 5). The signs (+ and -) alternate in this case because the  expression, 9b² - 25, has no middle term.

You can check your work by using FOIL. See the attachment below.

F irst

O utside

I nside

L ast

5 0
2 years ago
Read 2 more answers
Use the number 3, 3, 5, and 6 only once, along with +, -, ×, ÷, or () to get a result of 3 ​
gayaneshka [121]

Answer:

5 x 3 + 3 divided by 6 = 3

Step-by-step explanation:

The first thing is to find a way to arrange the numbers. Try every operation until you can get the answer. for this case, i put the answer above.

4 0
2 years ago
Write the equation of the line that passes through (6, 1), m = -3
JulijaS [17]

Answer:

y = - 3x + 19

Step-by-step explanation:

The equation of a line in slope- intercept form is

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Here m = - 3, thus

y = - 3x + c ← is the partial equation

To find c substitute (6, 1) into the partial equation

1 = - 18 + c ⇒ c = 1 + 18 = 19

y = - 3x + 19 ← equation of line

8 0
3 years ago
A group of 7 people want to equally share 33 1/4 ounces of cake. How much will one person get
AURORKA [14]
Each person will get 4.75 ounces of cake. You just divide 33 1/4 by 7. 
Hope this helps! :D

~PutarPotato
5 0
2 years ago
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