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Ad libitum [116K]
2 years ago
6

A carnival ride is in the shape of a wheel with a radius of 15 feet. The wheel has 24 cars attached to the center of the wheel.

What is the central angle, arc length, and area of a sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive credit.
Mathematics
1 answer:
Anarel [89]2 years ago
3 0
The radius the wheel (circle) is 15 ft a circle is equal to 360° so
1the central angle is: 5/360=24°
the circumference is:  2 π 24= 150.7ft
The arc is: 150.7/24= 6.28ft
The area of sector is: = 1/20 * Area of circle
<span>= 1/20 * pi * (25)^2 </span>
<span>= 98.17 feet^2
</span>I hope that this is helpful :)
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Help my homework pls!!!!!!​
Hitman42 [59]

Answer:

(2x^2 + x-3)/(4x^2-9)

Step-by-step explanation:

The denominator looks like an expression in which we have applied the difference of two squares to

In that case, we know that;

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

That means we would be have 2x + 3 as the other denominator factor and the expression at the denominator would be;

(2x + 3)(2x-3) = 4x^2 - 9

Also, we would have to cancel out 2x + 3 from the numerator too, so as to be left with only the binomial

That means;

(2x+3)(x-1) = 2x^2-2x+ 3x - 3 = 2x^2+x -3

So we have the original expression as;

(2x^2 + x-3)/(4x^2-9)

4 0
3 years ago
Sarah sells beaded necklaces she makes a profit of $4 on every necklace she sells which table represents the profit Sarah makes
Bogdan [553]

Answer:

<u>The correct table is A.</u>

Correct statement and question:

Sarah sells beaded necklaces she makes a profit of $4 on every necklace she sells which table represents the profit Sarah makes.

A.

Necklaces Sold Profit $

 4                           16

 6                           24

 8                           32

10                          40

B.  

Necklaces Sold Profit $

 4                           8

 6                           10

 8                           12

10                          14

C.

Necklaces Sold Profit $

 4                           4

 6                           8

 8                           12

10                          16

D.

Necklaces Sold Profit $

 4                           16

 6                           20

 8                           24

10                          28

Source:

North Carolina Practice Test

Step-by-step explanation:

If Sarah makes a profit of $ 4 on every necklace she sells, then:

4 necklaces = 4 * 4 = $ 16

6 necklaces = 6 * 4 = $ 24

8 necklaces = 8 * 4 = $ 32

10 necklaces = 10 * 4 = $ 40

<u>The correct table is A.</u>

6 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%7B4%7D%5E%7B3%7D%20" id="TexFormula1" title=" {4}^{3} " alt=" {4}^{3} " align="absmiddle"
quester [9]

Answer:

64

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Explain how you know the number of decimal places that should be in the product when you multiply two decimal numbers together.
Butoxors [25]
When you multiply a decimal with a decimal, you just multiply like you would with whole numbers. Then, you count the numbers to the right of the decimal for both multiplicand an multiplier. If the equation was 8.374 x 1.234, then you would put the decimal 6 spots to the left of the product. For the first step of solving this is just multiply like and decimal is not there. The answer would be 10333516. Then you count the number right of the multiplicand and the multiplier. In total there is 6 numbers, so you put the decimal 6 spots to the right. The end result would be 10.333516. Hope this helped!
4 0
3 years ago
9n+21−3n−24 simplify
Thepotemich [5.8K]
Alright First you combine the like terms. 
9n - 3n = 6n 
21 - 24 = -3 

Rewrite the simplified equation
6n - 3 = 0

Solve for n 
6n = 3 
n = 3/6 
n = 1/2 

Ask if you need more help! :)

6 0
3 years ago
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