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vekshin1
3 years ago
12

How far will the weight at the end of the cord move when the drum rotates 60° counterclockwise?

Mathematics
1 answer:
Natali [406]3 years ago
4 0

Answer:

5.2 ft.

Step-by-step explanation:

First you want to find the circumference of the circle. Given the radius 5ft you can then multiply it by 2 to get the diameter to make the equation for circumference much easier. 2*5=10. the diameter is 10ft.

Next the formula for circumference with diameter is π(d). Our diameter is 10 so plug it in and you get π(10) which equals about 31.4.

With the 60 degree you have to know that a circle is a full 360 degrees. 60 is 1/6 of 360 in meaning the distance the weight at the end of the cord will move  is 1/6 of the circumference of this circle. Therefore you need to do 1/6*31.4 which equals about 5.2.

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A balloon is 300 feet above a cliff. The angle of depression to the cliff edge is 40° 30'. What is the horizontal distance from
Daniel [21]

tan 40.5 = 300/x

x = 300/(tan 40.5)

x = 351

Answer: c. 351 feet

8 0
2 years ago
A snail travels at a rate of 2.36 feet per minute. a. Write a rule to describe the function. b. How far will the snail travel in
Andreyy89
Y = 2.36x....where y is the distance traveled and x is the number of minutes

how far will the snail travel in 6 minutes...so sub in 6 for x
y = 2.36(6)
y = 14.16 ft <==
6 0
3 years ago
What is the interquartile range of the data set below? Growth in feet of oak trees: 68,80,73,90,120,94,76,112,101,94,72 (1) 22  
sdas [7]
<span>68,80,73,90,120,94,76,112,101,94,72 --->
68, 72, 73, 76, 80, 90, 94, 94, 101, 112, 120

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8 0
3 years ago
What is the value of the rational expression 2x^2+5x+9/x^2+2x-1 when x=-2
Sergio039 [100]

Answer:

The value of the Rational expression when x=-2 is: -7

Step-by-step explanation:

For this exercise is important to remember:

  • When a negative number is raised to an even power, the result will be positive.
  • The multiplication of signs:

       (+)(+)=+\\(-)(-)=+\\(-)(+)=-

Then, given the following Rational expression:

\frac{2x^2+5x+9}{x^2+2x-1}

You need to follow these steps in order to find its value when x=-2:

1. Substitute the given value of "x" (x=2) into the expression:

 \frac{2(-2)^2+5(-2)+9}{(-2)^2+2(-2)-1}

2. Evaluate and simplify:

\frac{2(4)+5(-2)+9}{4+2(-2)-1}=\frac{8-10+9}{4-4-1}=\frac{7}{-1}=-7

5 0
3 years ago
Read 2 more answers
It's a lovely day. It's about 75 degrees - finally shorts weather! - and I can't wait to take a long walk. I leave from my front
maw [93]

Answer:

You'll be back at your friends house

Step-by-step explanation:

North goes up

East goes right

South goes down

West goes left

And he traveled 3 blocks each time. its sort if like a square.

7 0
2 years ago
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