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3 years ago

what is the measure the central angle of a circle with radius 75 cm that subtends an arc whose length is 125(pie) cm?

Mathematics

1 answer:

Dvinal [7]3 years ago

4 0

The arc subtends an angle of 300° .

Step-by-step explanation:

Radius = 75 cm

Arc length = 125π cm

Arc length = (θ/360) (2πr)

125π = (θ/360) (2π x 75)

125π = (θ/360) (150π)

125π/150π = (θ/360)

5/6 = (θ/360)

(5/6) (360) = θ

θ = 300°

The arc subtends an angle of 300° .

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Bonds from the city of tavel gorge worth $1,000 each are selling at 110.611. if sean wishes to purchase three such bonds, how mu

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The amount that will be expected to be paid for the bonds that are bought will be C. $3,318.33

<h3>How to calculate the amount of bonds?</h3>

From the information given, the bonds from the city of tavel gorge worth $1,000 each are selling at 110.611 and Sean wishes to purchase three such bonds.

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2 years ago

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3 years ago

5x(x-4) simplify distributive property

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3 years ago

Read 2 more answers

5. Mis the midpoint of CD. C has coordinates (-1,-1) and

lana66690 [7]

Answer/Step-by-step Explanation:

4. Midpoint (M) of AB, for A(-2, -3) and B(1, 2) is given as:

$M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$

Let $A(-2, -3) = (x_1, y_1)$

$B(1, 2) = (x_2, y_2)$

Thus:

$M(\frac{-2 + 1}{2}, \frac{-3 + 2}{2})$

$M(\frac{-1}{2}, \frac{-1}{2})$

5. Given M(3, 5) as midpoint of CD, and C(-1, -1),

let $C(-1, -1) = (x_2, y_2)$

$D(?, ?) = (x_1, y_1)$

$M(3, 5) = (\frac{x_1 +(-1)}{2}, \frac{y_1 +(-1)}{2})$

Rewrite the equation to find the coordinates of D

$3 = \frac{x_1 - 1}{2}$ and $5 = \frac{y_1 - 1}{2}$

Solve for each:

$3 = \frac{x_1 - 1}{2}$

$3*2 = \frac{x_1 - 1}{2}*2$

$6 = x_1 - 1$

$6 + 1= x_1 - 1 + 1$

$7 = x_1$

$x_1 = 7$

$5 = \frac{y_1 - 1}{2}$

$5*2 = \frac{y_1 - 1}{2}*2$

$10 = y_1 - 1$

$10 + 1= y_1 - 1 + 1$

$11 = y_1$

$y_1 = 11$

Coordinates of D is (7, 11)

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3 years ago