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3 years ago

❗️10 points❗️ 1. factor the polynomial.

Mathematics

1 answer:

harkovskaia [24]3 years ago

3 0

Answer:

Step-by-step explanation:

2x²(3x³ - 9x +27)

= 6x^5 - 18x³ + 54

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There is a rectangular terrain with dimensions "x" and "y". If it is known that its area of is 22m ^ 2 and that x ^ 2 + y ^ 2

Margaret [11]

9514 1404 393

Answer:

24 m

Step-by-step explanation:

The area formula tells us ...

22 = xy . . . . . square meters

Adding twice this to the quadratic constraint gives ...

(x^2 +y^2) +2(xy) = (100) +2(22)

(x +y)^2 = 144

x +y = √144 = 12

The perimeter is double this amount, so is ...

P = 2(x +y) = 2(12) = 24 . . . . meters

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2 years ago

Please Help? A circle has an arc length of 5π in. The central angle for this arc measures π/3 radians. What is the area of the a

Zielflug [23.3K]

Answer:

The area of the associated sector is $\frac{25}{24}\pi \ in^{2}$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

$C=2\pi r$

we have

$C=5\pi\ in$

substitute and solve for r

$5\pi=2\pi r$

$r=2.5\ in$

step 2

Find the area of the circle

we know that

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=2.5\ in$

substitute

$A=\pi (2.5^{2})=6.25\pi\ in^{2}$

step 3

Find the area of the associated sector

we know that

$2\pi\ radians$ subtends the complete circle of area $6.25\pi\ in^{2}$

by proportion

Find the area of a sector with a central angle of $\pi/3\ radians$

$\frac{6.25\pi }{2\pi} =\frac{x}{\pi/3}\\x=6.25*(\pi/3)/2\\ \\x=\frac{25}{24}\pi \ in^{2}$

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3 years ago

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