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xxTIMURxx [149]
3 years ago
15

The function f(t)=-5t^2+15t+50 models the approximate height in feet of an object t seconds after it is launched. how many secon

ds does it take for the object to hit the ground?
Mathematics
1 answer:
Cloud [144]3 years ago
4 0
F(t) can be factored to find the zeros.
.. f(t) = -5(t -5)(t +2) . . . . f(t) = 0 for t=-2, t=5

The object hits the ground after 5 seconds.
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Please give the correct answer and explain im really trying to learn this so I need the explanation not just an answer. Thankyou
Maksim231197 [3]

Answer:

x = tan⁻¹(⅘)

Step-by-step explanation:

We can solve for x by using trigonometric ratios (sin, cos, and tan)

We need to apply the appropriate ratio that uses the two sides 8 and 10 from the perspective of x. See attached image for information about ratios. (Source: Math is Fun)

The tangent ratio is opposite divided by adjacent. It will relate x to the two sides. So we would write

tan(x) = ⁸⁄₁₀

Then we simplify and move the tan to the other side by multiplying both sides by the inverse of tan (since you cannot divide by tan)

tan(x) = ⅘

x = tan⁻¹(⅘)

Then we can use a calculator to evaluate x

If you want to find y, now that you have two angles of the triangle, you can find the sum of 90 + x and subtract that from 180 (since all angles of a triangle add up to 180) to find y.

6 0
3 years ago
15q – 4r = 62<br> 5q + 8r = 86
KIM [24]

Answer:

q = 6; r = 7

Step-by-step explanation:

3 0
3 years ago
A graph of a linear function is shown on the grid. Which of these best represents 0 of the function? A 8. B 10. C 16. D 24.
harina [27]

answer:

C. 16

explanation:

when x is 0, the y-intercept is 8

coordinates: (0,8) and (4,6)

slope:

\sf \frac{y2-y1}{x2-x1}

\sf \frac{6-8}{4-0}

\sf \frac{-2}{4}

\sf -\frac{1}{2}

equation:

\sf y = mx +b    [ where m is slope and b is y-intercept ]

y = \sf -\frac{1}{2}x +8

solve for x-intercept:

note: zeros of a function are the values of x when f(x) is equal to 0

y = \sf -\frac{1}{2}x +8

0= \sf -\frac{1}{2}x +8

-8= \sf -\frac{1}{2}x

\sf x = -8 * -2

\sf x = 16

3 0
2 years ago
Read 2 more answers
3
Oksana_A [137]

Answer:

17

Step-by-step explanation:

because there are numbers involved

5 0
2 years ago
Function R gives the amount of rain measured by a rain gauge hours since it started raining. The amount of rain is measured in m
vladimir1956 [14]

Answer:

R(3) means that it has rained 3 millimeter and R(0.5)=14 means in 14 hours it has rained half a millimeter.

Step-by-step explanation:

5 0
3 years ago
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