Sine (theta) = 5 / hypotenuse
We do not know the hypotenuse length, so let's use the tangent function.
tan (theta) = 5/7
arc tan (5/7) = 35.538 Degrees
The answer is 5.23 ft/second
The way I got this answer was first finding the circumference of the merry-go-round using the equation
, where r represents the radius, which is the distance from the center of a circle.
So your equation should look like this
. I used the rounded term of 3.14 for
Once you multiply those terms, you should get the answer, 31.4. Now this is the total distance around the merry-go-round in feet. So, if it takes 6 seconds to make a full rotation and we are trying to find the amount offeet traveled in one second, we should divide the circumference (31.4) by 6 to give us our answer.
So, 31.4÷6=5.2333...ft/second
And I rounded the answer to the nearest hundredth to get 5.23 feet/second
Answer:
(5x+1)(x - 2)
Step-by-step explanation:
It looks like for all of these we will be using the Pythagorean theorem.
If you don't know what this is or how to apply it, go to the website "Khan Academy" and watch his video(s) on it. I would suggest going to that site whenever you don't understand something in math :)
I'll just be giving you the answers and won't explain what I'm doing, but please do go to Khan Academy to find out how to do it on your own!!
Anyway, onto the answers.
1) a = 12.5, b = 5.7, c = 13.7.
2) 24
3) 19.2
4) 6.4
5) 18.7
6) 98.5
7) 1.9
Hope this helps!!!
Answer:
x=0, y=4
x=2, y=5
x=4, y=6
x=6, y=7
x=8, y=8
x=10, y=9
For every x value goes up one, the y value goes up 2.
Step-by-step explanation:
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