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3 years ago

An angle's measure is equal to 24 less than its complement. Find the angle's measure.

1 answer:

4 0

A complementary angle is an angle that has measurements that add up with another angle to equal 90 degrees. To find the measure of the angle you would subtract 90 degrees from the measure of the given angle. So you would subtract 90 from 24 to get 66. So the measure of the angle would be 66 degrees. Thank you

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If y = (x-5)(x+7) then what does x equal?

DochEvi [55]

Answer:

x = 5, x = -7

Step-by-step explanation:

If you mean find the roots, then x = 5 and x = -7

Because roots makes the equation equal to 0 and 5 - 5 = 0 and -7 + 7 = 0

7 0

3 years ago

The value of y varies directly with the value of x. When y = 24, x = 4. What is the value of x when y = 48?

Bogdan [553]

Answer:

24/6=4

48/6= 8

so x=8

Step-by-step explanation:

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3 years ago

Given that 2y^3+by-cy+d,where b,c and d are constants,leaves a remainder R when divided by (y+1) , (y-2) and (2y-1). Find the va

Eddi Din [679]

The polynomial remainder theorem says that a polynomial p(x) leaves a remainder of p(k) when it's divided by x - k.

We're given that dividing p(y) = 2y³ + by² - cy + d leaves the same remainder R after dividing it by y + 1, y - 2, and 2y - 1. So we have

p(-1) = 2(-1)³ + b(-1)² - c(-1) + d = R

==> R = -2 + b + c + d

p(2) = 2(2)³ + b(2)² - c(2) + d = R

==> R = 16 + 4b - 2c + d

p(1/2) = 2(1/2)³ + b(1/2)² - c(1/2) + d = R

==> R = 1/4 + b/4 - c/2 + d

We're also given that y + 2 is a factor, which means dividing p(y) by it leaves no remainder, and so

p(-2) = 2(-2)³ + b(-2)² - c(-2) + d = 0

==> 0 = -16 + 4b + 2c + d

Solve the system of equations in boldface. You can eliminate d from the first 3 to first solve for b and c, then solve for d :

(-2 + b + c + d) - (16 + 4b - 2c + d) = R - R

-18 - 3b + 3c = 0

b - c = -6

(-2 + b + c + d) - (1/4 + b/4 - c/2 + d) = R - R

-9/4 + 3b/4 + 3c/2 = 0

b + 2c = 3

(b - c) - (b + 2c) = -6 - 3

-3c = -9

c = 3

b - 3 = -6

b = -3

-16 + 4(-3) + 2(3) + d = 0

d = 22

7 0

3 years ago

Find the shaded area of each figure, round your answer to one decimal place if necessary

Annette [7]

<h2>area of shaded portion = 49.5 yd²</h2><h2>____________________</h2>

Step-by-step explanation:

radius of circle = 5 yd ------ ( given )

height of triangle = 16 yd --- ( given )

base of triangle = 16 yd ----- ( given )

area of triangle = 1/2 × base × height

= 1/2 × 16 × 16

= 128 yd²

area of circle = π × radius²

= 3.14 × 5 × 5 --- ( π = 3.14 )

= 78.5 yd²

area of shaded portion = area of triangle - area of circle

area of shaded portion= 128 yd²-78.5 yd²

area of shaded portion = 49.5 yd²

<h2>--------------------------------------</h2><h2>PLEASE FOLLOW ME</h2>

8 0

2 years ago

Jill is baking cookies for a bake sale. She needs 126 cookies for the bake sale. She already has 4 dozen cookies how many more c

goldenfox [79]

Answer:

6.5 dozen or 78 cookies

Step-by-step explanation:

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3 years ago

Read 2 more answers