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Schach [20]
3 years ago
5

The radius of a circle is 8 inches. What is the angle of an arc 2π inches long?

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
3 0

Answer:

π/4 radians

Step-by-step explanation:

The arc length formula is s = rФ, where Ф is the central angle (in radians).

Here, r = 8 inches and s = arc length = 2π inches.  We need to find the central angle, Ф.  The formula given above is s = rФ, or, equivalently,

Ф = s/r.

Here, the central angle is Ф = s/r = 2π/8, or π/4 radians.

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Find the linear equations written in standard form. Select all that apply. A. x+y=-1 B. -3x = y C. x + 4y = 0 D. y = 5x - 2 E. x
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<h3>3 Answers: A, C, and F</h3>

All of these equations are in the form Ax+By = C

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3 years ago
What is cos 28 degrees
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<h3>What are Trigonometric functions?</h3>

The trigonometric function gives the ratio of different sides of a right-angle triangle.

\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

The cosine is the ratio of the base of the triangle and the hypotenuse of the triangle. Therefore, The value of cos(28°) is -0.9626.

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6 0
2 years ago
Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are sum
Naddika [18.5K]

Answer:

P(A) = 86/100

P(B) = 79/100

P(A') = 14/100

P(A U B) = 95/100

P(A' U B) = 84/100

Step-by-step explanation:

i. P(A) = number of disks with high shock resistance/total number of disks

= (70+16)/100

= 86/100

ii. P(B) = number of disks with high scratch resistance/total number of disks

= (70+9)/100

= 79/100

iii. P(A') = number of disks without high shock resistance/total number of disks

= (100-86)/100

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= (5+9+70)/100

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