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monitta
3 years ago
6

An object is thrown upward at a speed of 121 feet per second by a machine from a height of 8 feet off the ground. The height h o

f the object after t seconds can be found using the equation h = -16t^2+121 t+8
When will the height be 17 feet?




When will the object reach the ground?
Mathematics
1 answer:
Vladimir79 [104]3 years ago
8 0
17=-16t^2+121t+8
16t^2-121t+9=0
this is a quadratic.
it solves to 7.487seconds and 0.075 seconds.

0=-16t^2+121t+8
16t^2-121t-8=0
this solves to 7.628 and -0.066. obviously the time cant be negative so the only real answer is 7.628 seconds
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The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is four times
prohojiy [21]

Answer:

{36, 66, 78}

Step-by-step explanation:

Let the measures of the three angles be f, s and t, for first, second and third.  Then s + t = 4f, t = 12 + s, and f + s + t = 180.

Subbing 12 + s for t in the first equation, we get s + 12 + s = 4f.

Subbing the same in the third equation, we get f + s + 12 + s = 180

This results in two equations in two unknowns (f and s):

2s - 4f = -12

2s  + f  = 168.

Let's eliminate s by subtracting the first of these two equations from the second.  Doing so yields 5f = 180.  Then the first angle, f, or x, is 36.

Then, from 2s + f = 168, we get 2s + 36 = 168, or 2s = 132.  Thus, the second angle is s = y = 66.

The sum of the three angles must be 180.  Thus, 36 + 66 + t = 180, or

102 + t = 180, or t = z = 78.

The three angles are

{36, 66, 78}.

3 0
3 years ago
How can i get answer 5 for -10 - (+5) ?​
timama [110]

Answer:

- 10 - (-20 + 5)

Step-by-step explanation:

- 10 - (-20 + 5)

- 10 - (-15) = -10 + 15

-10 + 15 = 5

have a nice day and mark me brainliest! :)

4 0
3 years ago
Solve<br> 2(2x + 1) = 3(x - 4)
k0ka [10]

Step-by-step explanation:

2(2x + 1) = 3(x - 4)

4x+2=3x-12

4x-3x=--12-2

x=14

6 0
2 years ago
KN bisects ZJKM. If mZNKJ = 7x-9 and<br> m2JKM = x + 3, find m2JKN.
BaLLatris [955]

Answer:

Step-by-step explanation:

7x - 9 = x + 3

6x - 9 = 3

6x = 12

x = 2

7(2) - 9 + 2 + 3

14 - 9 + 5

5 + 5 = 10

5 0
3 years ago
In triangle PQR, m∠P = 83°, PQ = 7.6, and PR = 8.6. What is m∠R to the nearest degree? A. 45° B. 55° C. 35° D. 41°
Mila [183]

Answer:

The unknown measurement of angle R to the nearest degree is 41°

Step-by-step explanation:

As you can see, we made a diagram form the given information in the problem. We are trying to find the measurement of angle R which is our unknown angle represented by the question mark.

in order to solve this problem, we are going to be using tangent. Tangent uses the opposite side and the adjacent side from the given or from the unknown angle measurement.

So, our equation will look like this.

tanx=\frac{7.6}{8.6}

Since, we do not know the measurement of the unknown angle, then are going to use the inverse of tangent.

x=\frac{7.6}{8.6}(tan^-^1)

Now, we solve. You can use a calculator to do these calculations.

The unknown measurement of the unknown angle to the nearest degree is 41° which is answer choice D.

3 0
3 years ago
Read 2 more answers
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