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Oksanka [162]
4 years ago
15

Molly is on a carousel ride. As it goes around she has been measuring the distance. The distance around the carousel is 21.98 ya

rds, but what is the radius?
Mathematics
1 answer:
Free_Kalibri [48]4 years ago
7 0
To find the circumference you would do,
(rx2)x3.14
(rx2)x3.14=21.98
so, 21.98/3.14=7
7/2=3.5

Check
3.5x2=7
7x3.14=21.98
So
3.5 is your answer!!! :)

~Summer
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What is the difference in the area of a circle with diameter 4m and a circle with diameter 6m?
nordsb [41]

Answer:

The difference between the area of the two circles is 15.7m

Step-by-step explanation:

I swear these be helping me with the CIEs coming up in May xD

Okay so the formula for a circle is \pi r^2

The diameter is the double of the radius so

Cirlce A has a diameter of 4m so a radius of 2m

\pi 2^{2}

\pi4

12.57m

Circle B has a diameter of 6m so a radius of 3m

\pi 3^2

\pi 9

28.27m

To find the difference subtract 12.57 from 28.27

28.27-12.57\\=15.7

The difference between the area of the two circles is 15.7m

Hope this helps, if you still need help just comment :)

5 0
3 years ago
Write the slope intercept equation using the slope and y intercept
svet-max [94.6K]
Given slope = -4/3 and y-intercept = -3

Equation: y = -4/3x - 3

3 0
3 years ago
If (x + 2) is a factor of x3 − 6x2 + kx + 10, k
kherson [118]

Answer:

k = -11

Step-by-step explanation:

Let p(x) = x^3-6x^2+kx+10

And x+2 is a factor of p(x)

Let x+2 = 0 => x = -2

Putting in p(x)

=> p(-2) = (-2)^3-6(-2)^2+k(-2)+10

<u><em>By remainder theorem, Remainder will be zero</em></u>

=> 0 = -8-6(4)-2k+10

=> 0 = -8-24+10-2k

=> 0 = -22-2k

=> -2k = 22

Dividing both sides by -2

=> k = -11

4 0
3 years ago
Read 2 more answers
I need help simplifying both of these. thank you!
4vir4ik [10]
<h3>Answer:</h3>
  1. -100x +100; 3
  2. 5x +81; 162
<h3>Step-by-step explanation:</h3>

The distributive property is your friend. It tells you ...

  a(b + c) = ab + ac

It can also be used to simplify the product of binomials (or other polynomials).

  (a +b)^2 = (a +b)(a +b) = a(a +b) + b(a +b) = a^2 +ab +ab +b^2

  (a +b)^2 = a^2 +2ab + b^2 . . . . . . . worth remembering

1. (x -10)^2 -x(x +80) = (x^2 -20x +100) +(-x^2 -80x)

  = -100x +100 . . . . . . simplified form

For the purposes of calculation, it can be easier to factor out 100:

  = 100 (1 -x)

Then for x = 0.97

  = 100(1 -0.97) = 100(0.03) = 3

___

2. (2x +9)^2 -x(4x +31) = (4x^2 +36x +81) -4x^2 -31x = 5x +81

For x = 16.2, this is ...

  5(16.2) +81 = 81 +81 = 162

_____

The purpose of the attachment is to show the evaluation is correct.

5 0
3 years ago
Which equations are true? Select all that apply. A. 30 × 100 = 3 , 000 B. 30 × 10 3 = 30 , 000 C. 30 × 1 , 000 = 3 , 000 D. 30 ×
Katarina [22]

30 × 100 = 3,000, 30 × 10³ = 30,000 and 30 × 1000 = 30000. Therefore, options A, B, C and D are the correct answers.

<h3>What is an equation?</h3>

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

A) 30 × 100 = 3,000

Here, LHS = RHS

B) 30 × 10³ = 30,000

Here, LHS = RHS

C) 30 × 1000 = 30000

Here, LHS = RHS

D) 30 \times 10^4 = 3000

30 × 10000 = 300,000

Here, LHS ≠ RHS

E) 30 × 10000 = 30,000

= 300,000

Here, LHS ≠ RHS

Therefore, options A, B, C and D are the correct answers.

To learn more about an equation visit:

brainly.com/question/14686792.

#SPJ1

3 0
1 year ago
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