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4 years ago

Drag each expression to the correct location on the solution. Not all expressions will be used.

Mathematics

1 answer:

antoniya [11.8K]4 years ago

6 0

Answer:

Hey there!

$8x^3+2x^2-20x-5$

$(8x^3+2x^2)+(-20x-5)$

$2x^2(4x+1)+(-5)(4x+1)$

$(2x^2-5)(4x+1)$

Let me know if this helps :)

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Circle A has a radius of 9.0 cm. The shortest distance between B and C on the circle is 8.5 cm. What is the approximate area of

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Answer:

38.25 cm²

Step-by-step explanation:

We use the formula for the length of an arc to find the central angle of the sector of the circle.

Then we use the formula for the area of a sector of a circle to find the area.

Length of arc of circle of radius r:

$s = \dfrac{n}{360^\circ}2 \pi r$

s = arc length

n = measure of the central angle of the sector

$s = \dfrac{n}{360^\circ}2 \pi r$

$8.5~cm = \dfrac{n}{360^\circ}2 \pi \times 9.0~cm$

$n = 54.1^\circ$

Area of sector of circle of radius r:

$A = \dfrac{n}{360^\circ} \pi r^2$

A = area of sector of circle

n = measure of the central angle of the sector

$A = \dfrac{54.1^\circ}{360^\circ} \pi (9.0~cm)^2$

$A= 38.25~cm^2$

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