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Licemer1 [7]
3 years ago
11

An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Ro

und your answer to the nearest tenth.
Mathematics
2 answers:
mina [271]3 years ago
5 0
Given:
Arc length = 8 inches
radius = 3 inches
find the measure of the central angle.

Arc length = radius * central angle
central angle = arc length / radius
central angle = 8 inches / 3 inches
central angle = 2.667 (radian)

Central angle in degrees  = 152.88°

Circumference of the circle = 2 * 3.14 * 3 inches = 18.84 inches
1 circle = 360° / 18.84 inches = 19.11° per inch
19.11° per inches * 8 inches of arc length = 152.88°

butalik [34]3 years ago
3 0

The answer is 2.7 radians. C on edgunity

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I have 1,000 riyals in ten and five riyal notes. If the number of ten riyal notes that I have is ten more than the number of fiv
jeka94

Answer:

66 notes of 5 riyal

76 notes of 10 riyal

Step-by-step explanation:

(10x + 10) +5x = 1000

15x = 990

x = 66

so there are 66 of 5 riyal notes and 66 + 10 ie 76 of 10 riyal notes

4 0
3 years ago
Solve for x: 5/x^2-4+2/x=2/x-2
IRINA_888 [86]

\dfrac{5}{x^2 - 4} + \dfrac{2}{x} = \dfrac{2}{x - 2}


\dfrac{5}{(x + 2)(x - 2)} + \dfrac{2}{x} = \dfrac{2}{x - 2}


\dfrac{5}{(x + 2)(x - 2)} \times x(x + 2)(x - 2) + \dfrac{2}{x} \times x(x + 2)(x - 2) = \dfrac{2}{x - 2} \times x(x + 2)(x - 2)


5x + 2(x + 2)(x - 2) = 2x(x + 2)


5x + 2(x^2 - 4) = 2x^2 + 4x


5x + 2x^2 - 8 = 2x^2 + 4x


5x - 8 = 4x


x - 8 = 0


x = 8


Now we look at the common denominator.

It is x(x + 2)(x - 2).

x cannot be zero, -2 or 2 because that would cause a zero in the denominator.

Since we get x = 8, and x = 8 does not have to be excluded from the domain, the answer is x = 8.


Answer: x = 8

6 0
3 years ago
PLEASE ANSWWR ASAP thanks
AleksAgata [21]
(4x - 8) = 80/2
4x - 8 = 40
4x = 48
x = 12
answer
x = 12
4 0
3 years ago
Please help me figure this out​
polet [3.4K]

Answer:3⁴ and 81¹

Step-by-step explanation:

3⁹= 19683

3⁴= 81

-9²= -81

9⁹= 387,420,489

81¹= 81

8 0
4 years ago
2/5 + 3/4 =<br> Please Give me The Answer
Anna35 [415]

Answer:

1 3/20

Step-by-step explanation:

2/5 = 8/20

3/4 = 15/20

8/20+15/20 = 13/20

4 0
3 years ago
Read 2 more answers
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