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Nataly_w [17]
3 years ago
6

How do we factor 225n to the 4th power minus p to the sixth power?

Mathematics
1 answer:
vova2212 [387]3 years ago
6 0
I'm pretty sure this is correct.
{225n}^{4}   -  {p}^{6}
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The unit rate of 15 degrees in 2 hours
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The answer to 9 would be (-3,-4) and (2,6) because if you plug in -3 for x in either of the equations and plug in 4 for y in the equations, both sides of the equation are the same number. also, if you plug in 2 for x and 6 for y both sides of the equation equal each other. The answer to 10 is (-1,1) and (7,33). if you plug them in they are equal:)

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3 years ago
The area of sector A08 is 48x and m&lt;AOB = 270º. Find the radius of circle O.
Softa [21]

Answer:

Step-by-step explanation:

The first one gives us everything we need except the radius, which is easy enough to solve for if you're careful with your algebra. The area of a sector of a circle is given as:

A_s=\frac{\theta}{360}*\pi r^2 where θ is the measure of the central angle of the circle. For us, that fills in as follows:

48\pi=\frac{270}{360}*\pi r^2 and manipulate it as follows:

r^2=\frac{(360)(48\pi)}{270\pi} the π's cancel out, leaving us with simple multiplication and division to get

r = 8. Now for the next one, which is a bit more involved.

In order to find the area of the shaded part, we need to find the area of the right triangle there and subtract it from the area of the sector of the circle. First the area of the sector, which is given as:

A_s=\frac{\theta}{360}*\pi r^2 where θ again is the measure of the central angle of the circle, 90°:

A_s=\frac{90}{360}(3.1415)(10)^2 which simplifies a bit to

A_s=\frac{1}{4}(3.1415)(100), giving us an area of

A_s=78.5375m^2. Now onto the area of the triangle.

Since this triangle is inscribed in the circle and the circle's radius is 10, tha also gives us both the height and the base measures of the triangle. The area then is:

A_t=\frac{1}{2}(10)(10) which is

A_t=50m^2

Subtract that from the area of the sector to get that the shaded area is 28.5 square meters, choice A.

4 0
3 years ago
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