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zvonat [6]
3 years ago
14

A firecracker shoots up from a hill 160 feet high, with an initial speed of 90 feet per second. Using the formula H(t) = −16t2 +

vt + s, approximately how long will it take the firecracker to hit the ground?
A Five seconds

B Six seconds

C Seven seconds

D Eight seconds
Mathematics
2 answers:
Masja [62]3 years ago
3 0

When the firecracker hits the ground, H(t) = 0.0 = -16t^2 + 90t + 160 Using the quadratic formula,t = (-90 +- sqrt(90^2 - 4(-16)(160))) / 2(-16)t = -1.42 ort = 7.04

The negative time is extraneous. Therefore,t = 7.04 s.

Seven Seconds is your answer!

Aneli [31]3 years ago
3 0

I did the test and 7 seconds was the right answer hope this helps

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I need a quick response! Please help!
Ulleksa [173]

Answer: 2748.5 feet

Step-by-step explanation:

Given that the

Height h = 120 feet.

angle of depression = 2.5 degrees

The angle of depression is equal to the angle of elevation.

The base of the observation deck will be achieved by using trigonometry ratio.

Tan Ø = opposite/ adjacent

Opposite = height = 120 feet

Adjacent = base = ?

Substitutes the given parameters into the trigonometry ratio.

Tan 2.5 = 120 / adjacent

Adjacent = 120 / tan 2.5

Adjacent = 2748.452

Therefore, the base of the observation deck is 2748.5 feet

5 0
3 years ago
What is 62/120 expressed as a percent rounded to the nearest whole number?
Afina-wow [57]

Answer:

52%

Step-by-step explanation:

62/120 * 100%

Divide by 2 on top and bottom

31/60 * 100 %

.5166666666 * 100 %

51.66666666 %

To the nearest whole number

Rounding the 1, we look at the 6   6>=5 so we round the 1 to 2

52%

6 0
3 years ago
Type the correct answer in each box. Use sigma notation to represent the following series for the first 10 terms. 3 + (-6) + 12
klemol [59]

Answer:

Kindly check attached picture

Step-by-step explanation:

Given the following :

First term (a) = 3

Second term = - 6

third term = 12

Fourth term = - 24

We can obtain the common ratio of the series using the relation :

(2nd term/ 1st term) = (3rd term/2nd term) = (4th term/ 3rd term) =....

(-6/3) = (12/-6) = (-24/12)

-2 = - 2 = - 2

Further explanation can be found in attached picture

7 0
3 years ago
Find the part what is 160% of 13.7
lidiya [134]
13.7 is 100% I like to divide by 100 to get the 1%, then multiply by the percent i am trying to find, lets see if I'm right.
13.7/10 = .137
.137= 1/100
.137 x 160 = 21.92
Your answer is 21.92, 21.92 is 160%
Hope this helped!
5 0
3 years ago
What is 56.6 in nearest whole number please help me ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
muminat
To the nearest whole number would be 57, because .6 rounds up to the next whole number

5 0
3 years ago
Read 2 more answers
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