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myrzilka [38]
3 years ago
7

6. Solve the problem. A carousel has a radius of 18 feet and takes 31

Mathematics
1 answer:
Darya [45]3 years ago
7 0

Answer:

v = 3.64 ft/s

Step-by-step explanation:

Given that,

Radius of a carousel, r = 18 feet

It takes 31 seconds to complete revolution.

We need to find the linear speed of the carousel at its outside edge. Distance covered is equal to the circumference of the circle.

d = 2πr

d = 2π × 18 = 113.09 feet

Let v is the linear speed. It can be given by :

v=\dfrac{D}{t}\\\\v=\dfrac{113.09}{31}\\\\v=3.64\ ft/s

So, the linear speed of the carousel is 3.64 ft/s.

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What does angle x equal ??
Ludmilka [50]
X equals 38. That means, angle R is 38, angle P is 69, and angle Q is 73.

You get x=38 by doing x+35+x+2x-7 = 180

*Hope this helps!*
8 0
4 years ago
The ratio of boys to girls in Mr. Trent's
goldenfox [79]

Answer:

12

Step-by-step explanation:

4 0
3 years ago
8. Three groups of 10 kids. The average weight of a kid in each
sammy [17]

Answer: 385

Step-by-step explanation:

Mean the three groups of 10 kids=35

Total weight of 3 groups (10x35)=350

Mean weight of 3 groups and one boy  ( 35 + 350)=385

5 0
3 years ago
Simplify 14 to the power of 15 over 14 to the power of 5
BartSMP [9]

Answer:

1. Use Quotient Rule

{14}^{15-5}

2. Simplify  

{14}^{10}

3 Simplify.

289254654976289254654976

Step-by-step explanation:

6 0
3 years ago
Which of the following coordinates exists on the line y = 3x + 1?
Natalija [7]

We are given

equation of line as

y=3x+1

we will check each options

option-A:

we can plug (3,1)

x=3 and y=1

1=3*3+1

1=10

we can see that

they are not equal

so, this is FALSE

option-B:

we can plug (-1,-2)

x=-1 and y=-2

-2=3*-1+1

-2=-2

we can see that

they are equal

so, this is TRUE

option-C:

we can plug (-3,4)

x=-3 and y=4

4=3*-3+1

4=-8

we can see that

they are not equal

so, this is FALSE

option-D:

we can plug (2,6)

x=2 and y=6

6=3*2+1

6=7

we can see that

they are not equal

so, this is FALSE


6 0
3 years ago
Read 2 more answers
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