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kaheart [24]
2 years ago
11

HELP ASAP !! Sloane kicked a soccer ball at a speed of 36 feet per second. If the ball never leaves the ground, then it can be r

epresented by
the function H(t) = - 16t2 + 36t. Determine the time the ball traveled.
t = 0.44 seconds
t = 2.25 seconds
t = 16 seconds
t = 36 seconds
Mathematics
2 answers:
murzikaleks [220]2 years ago
5 0
Should be 2.25 seconds
Korolek [52]2 years ago
4 0

Answer: B: 2.25 seconds

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 Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III
vodka [1.7K]

Given:

\sin x=-\dfrac{15}{17}

x lies in the III quadrant.

To find:

The values of \sin 2x, \cos 2x, \tan 2x.

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others  are negative.

We know that,

\sin^2 x+\cos^2 x=1

(-\dfrac{15}{17})^2+\cos^2 x=1

\cos^2 x=1-\dfrac{225}{289}

\cos x=\pm\sqrt{\dfrac{289-225}{289}}

x lies in the III quadrant. So,

\cos x=-\sqrt{\dfrac{64}{289}}

\cos x=-\dfrac{8}{17}

Now,

\sin 2x=2\sin x\cos x

\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})

\sin 2x=-\dfrac{240}{289}

And,

\cos 2x=1-2\sin^2x

\cos 2x=1-2(-\dfrac{15}{17})^2

\cos 2x=1-2(\dfrac{225}{289})

\cos 2x=\dfrac{289-450}{289}

\cos 2x=-\dfrac{161}{289}

We know that,

\tan 2x=\dfrac{\sin 2x}{\cos 2x}

\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}

\tan 2x=\dfrac{240}{161}

Therefore, the required values are \sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}.

7 0
2 years ago
If the graphs of a system of linear equations are the same line, how many solutions does the system have?
inn [45]

Answer:

If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations. If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
For what values of x and y must the figure have in order to be a parallelogram
erma4kov [3.2K]

<u>Given</u>:

Given that the parallelogram with the lengths 5x, 3x + 1, 2y - 5 and y.

We need to determine the values of x and y.

<u>Values of x and y:</u>

We know the property that the opposite sides of a parallelogram are congruent.

Thus, we have;

5x=2y-5 ------- (1)

3x+1=y  ------- (2)

The value of x and y can be determined using the substitution method.

Substituting equation (2) in equation (1), we have;

5x=2(3x+1)-5

5x=6x+2-5

5x=6x-3

-x=-3

  x=3

Thus, the value of x is 3.

Substituting x = 3 in equation (2), we have;

3(3)+1=y

    9+1=y

         10=y

Thus, the value of y is 10.

5 0
3 years ago
Sylvia plans to place 617 stamps in an album. Each page of the album holds 5 stamps. She uses division to find out how many full
bija089 [108]

Answer:

123 full pages

Step-by-step explanation:

Given

Total\ Stamps = 617\ stamps

Each\ Page = 5\ stamps

Required

Determine the number of full page

To do this, we simply divide the total stamps by stamps in each page;

Pages = \frac{Total\ Stamps}{Each\ Page}

Pages = \frac{617}{5}

Pages = 123.4

Then we record only the quotient

The quotient is the digits before the decimal

Pages = 123

<em>Hence, she has 123 full pages</em>

8 0
2 years ago
On Sunday, a local hamburger shop sold a combined total of 428 hamburgers and cheeseburgers. The number of cheese burgers sold w
melisa1 [442]
The equation you can use is x + 3x = 428 with x as the number of cheeseburgers and 3x the number of hamburgers 
you solve for x and get 4x= 428 and x=107

so 321 hamburgers were sold that day.
5 0
2 years ago
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