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Bingel [31]
2 years ago
8

A circle has radius 50 cm. Which of these is closest to its area?

Mathematics
1 answer:
juin [17]2 years ago
6 0

Answer:

7,854cm^2

Step-by-step explanation:

π50²=2500π

2500π=7853.98

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Naomi wants to make smoothies for her friends.each servings the smoothie contains 7/8 cup of blueberries and 8/9 cups of strawbe
STatiana [176]

Answer:

A.

Step-by-step explanation:

Blueberries

7/8 + 8/9 = 1  55/72

1  55/72 x 4 =

1 = 72

72 + 55 = 127

127/72 x 4/1 = 504/288

504/72 = 7/1

7

Even tho 7 isn´t an option I would pick A. because it is the closest

4 0
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 <em>p(x)</em> leaves a remainder of <em>p(k)</em> when it's divided by <em>x</em> - <em>k</em>.

We're given that dividing <em>p(y)</em> = 2<em>y</em>³ + <em>by</em>² - <em>cy</em> + <em>d</em> leaves the same remainder <em>R</em> after dividing it by <em>y</em> + 1, <em>y</em> - 2, and 2<em>y</em> - 1. So we have

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

==>  <em>R</em> = -2 + <em>b</em> + <em>c</em> + <em>d</em>

<em>p</em>(2) = 2(2)³ + <em>b</em>(2)² - <em>c</em>(2) + <em>d</em> = <em>R</em>

==>  <em>R</em> = 16 + 4<em>b</em> - 2<em>c</em> + <em>d</em>

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

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

<em />

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

<em>p</em>(-2) = 2(-2)³ + <em>b</em>(-2)² - <em>c</em>(-2) + <em>d</em> = 0

==>  0 = -16 + 4<em>b</em> + 2<em>c</em> + <em>d</em>

<em />

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

(-2 + <em>b</em> + <em>c</em> + <em>d</em>) - (16 + 4<em>b</em> - 2<em>c</em> + <em>d</em>) = <em>R</em> - <em>R</em>

-18 - 3<em>b</em> + 3<em>c</em> = 0

<em>b</em> - <em>c</em> = -6

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

-9/4 + 3<em>b</em>/4 + 3<em>c</em>/2 = 0

<em>b</em> + 2<em>c</em> = 3

(<em>b</em> - <em>c</em>) - (<em>b</em> + 2<em>c</em>) = -6 - 3

-3<em>c</em> = -9

<em>c</em> = 3

<em>b</em> - 3 = -6

<em>b</em> = -3

-16 + 4(-3) + 2(3) + <em>d</em> = 0

<em>d</em> = 22

7 0
3 years ago
Instructions: The polygons in each pair are similar. Find the missing side length.
adoni [48]

Answer:

20

Step-by-step explanation:

<u>25 </u>  =     <u> x</u>

20           16

(25*16)/20 = 20

4 0
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Solve for x.<br> 6x + 5 = -x + 40<br> B. x= -5<br> A. x = -9<br> D. x= 9<br> C. x = 5
denis23 [38]
C, x=-5, hope this helps
3 0
2 years ago
50 POINTSSSS!!!!!!!!!!!!!!!!!!!!!!!!!
Anit [1.1K]

Answer: To find the critical value, follow these steps.

Compute alpha (α): α = 1 - (confidence level / 100)

Find the critical probability (p*): p* = 1 - α/2.

To express the critical value as a z-score, find the z-score having a cumulative probability equal to the critical probability (p*).

Step-by-step explanation:

8 0
2 years ago
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