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UkoKoshka [18]
2 years ago
9

Luke goes to a fitness program that charges a monthly fee of $10.99 plus $3 for every hour he spends listening to a cardio podca

st. If he knows how much he paid for the month, what is a function that can be used to help him know the number of hours he spent listening to the podcast based on the total cost of her bill?
Mathematics
1 answer:
SSSSS [86.1K]2 years ago
4 0
(amount paid-10.99)/3 = hours spent listening
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Answer:

36°

Step-by-step explanation:

Unknown Angle = 180° - 88° - 56°

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A jumper in the long-jump goes into the jump with a speed of 12 m/s at an angle of 20° above the horizontal. How far does the ju
weeeeeb [17]

Answer:

x = 9.5 m

Step-by-step explanation:

Given:

This problem is based on 2D motion kinematics equations:

V_0 = 12 m/s

\theta = 20^0

g=9.8 m/s^2

At maximum height:

V_y = 0

Components of initial velocity:

V_0x = V_0 cos (\theta) =(12 )(cos (20^0)) = 11.3 m/s

V_0x = V_0 sin (\theta) = (12)(sin (20^0)) = 4.10 m/s

To find time to reach maximum height:

V_y = V_0y -gt

Plugging in the known values:

0 = 4.10 - 9.8t

t = \frac{-4.10}{-9.8}

t = 0.418 s

Total time = 2t = 2(0.418) = 0.836 s

to find horizontal distance covered:

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8 0
3 years ago
Find an ordered pair that is solution for linear equation 4x-5y=20​
Eduardwww [97]

Answer:

(5,0) is the solution of the given equation.

(0,-4) is the solution of the given equation.

Step-by-step explanation:

Here, the given equation is: 4 x- 5y  = 20

Now, we need to find a value for (x,y) such that the above equation is satisfied.

The ONLY POSSIBLE way to do this is Hit and Trial.

Let us substitute x  = 0

Then the equation becomes : 4 (0) - 5y = 20

or, -5 y =  20 ⇒  y = -20/5 = - 4

So, for x = 0, y = - 4

So, (0,-4) will be the solution of the given equation.

Let us substitute y  = 0

Then the equation becomes : 4 (x) - 5(0) = 20

or, 4 x =  20 ⇒  x = 20/4 = 5

So, for x = 5, y = 0

So, (5,0) will be the solution of the given equation.

We can try another substitution as well.

For any value of x, we will get a corresponding value of y. So, (x,y) will be the solution of the given equation.

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