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Verizon [17]
3 years ago
10

The circle below has center O, and its radius is 4 ft. Given that m ZAOB=50°find the length of the minor arc AB.

Mathematics
1 answer:
exis [7]3 years ago
7 0

Answer:

The length of minor arc AB is \frac{10}{9} π  ft

Step-by-step explanation:

The formula of the length of an arc in a circle is L = \frac{\alpha }{360} × 2πr, where α is the central angle subtended by the arc, and r is the radius of the circle

∵ The radius of the circle is 4 ft

∴ r = 4

∵ ∠AOB is a central angle subtended by minor arc AB

∵ m∠AOB = 50°

∴ α = 50°

Substitute the values of r and α in the rule above

∵ L = \frac{50}{360} × 2π(4)

∴ L = \frac{10}{9} π

∴ The length of minor arc AB is \frac{10}{9} π  ft

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(x^4)^2=x^8

Step-by-step explanation:

Because of the power of a power property, which states that (x^n)^m=x^{n\times{m}}, where m and n are real numbers, the expression you mentioned can be simplified by applying this property like this: (x^4)^2=x^{4\times2}=x^8

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What is the relationship between variance and standard deviation?
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8 0
3 years ago
Find the angle measures. Justify your responses.
MatroZZZ [7]

Answer:

m∠3 = 2x - 10° and m∠6 = 3x + 20

m∠3 = 58°          ;    m ∠6 = 122°

Step-by-step explanation:

a ║ b

m∠2 = m∠6                     If ║ cut by a transversal, then corresponding angles

                                         are ≅ and =

m∠7 = m∠3                   If ║ cut by a transversal, then corresponding angles

                                       are ≅ and =

m∠2 = 3x + 20              Given

m∠7 = 2x - 10                 Given    

m∠6 + m∠3 = 180°         If ║ cut by a transversal, then each pair of same-side

                                       interior angles (also called consecutive interior angles

                                       are supplementary (sum = 180°) .    

3x + 20 + 2x - 10 = 180°

5x + 10 = 180°

5x = 170°

x = 34°

Answer:   m∠3 = 2x - 10° and m∠6 = 3x + 20

                m∠3 = 2(34) - 10  ;    m∠6 = 3(34) + 20

                 m∠3 = 58°          ;    m ∠6 = 122°

                                 

5 0
2 years ago
The coordinate plane has the following points A=(2, 1), B=(5, 1), C=(7,2), and 1 point
dusya [7]

Answer:

<em>d = 3</em>

Step-by-step explanation:

Coordinate Plane

The image provided shows the four points given:

A=(2, 1), B=(5, 1), C=(7,2), D=(4,2).

It can be clearly seen the length of CD is just the difference of their x-coordinates:

CD = 7 - 4 = 3

We can also use the formula of the distance.

Given two points C(x,y) and D(w,z), the distance between them is:

d=\sqrt{(z-y)^2+(w-x)^2}

d=\sqrt{(2-2)^2+(7-4)^2}

d=\sqrt{0^2+3^2}

d=\sqrt{9}

d = 3

3 0
3 years ago
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