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stich3 [128]
3 years ago
11

Devin jumped off a cliff into the ocean in Acapulco while vacationing with his family. His height as a function of time could be

modeled by the function h(t)= -16t square root 2 +16t +96, where T is the time in seconds and H is the time in feet. How many seconds until Devon hit the water? Around to the nearest tenth is necessary.
Mathematics
1 answer:
sukhopar [10]3 years ago
7 0

Answer:

<em>3 seconds</em>

Step-by-step explanation:

Given the height modelled by the function

h(t) = -16t² + 16t + 96

The hit the water at h(t) = 0

0 = -16t² + 16t + 96

Divide through b y -16

0 = t² - t - 6

t² - t - 6 = 0

t² - 3t+2t - 6 = 0

t(t-3)+2(t-3) = 0

t+ 2 = 0 and t - 3 = 0

t = -2 secs and t = 3secs

Since t can't be negative, hence;

t = 3 secs

<em>hence it will take 3 seconds until Devon hit the water</em>

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6 0
3 years ago
The cosine of 23° is equivalent to the sine of what angle
Archy [21]

Answer:

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(There are more values since we can go around the circle from 67 degrees numerous times.)

Step-by-step explanation:

You can use a co-function identity.

The co-function of sine is cosine just like the co-function of cosine is sine.

Notice that cosine is co-(sine).

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or

\sin(90^\circ-x)=\cos(x)

You can prove those drawing a right triangle.

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x+(missing angle)=90

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(missing angle)=90-x.

So the missing angle has measurement (90-x).

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and sin(x)=a/c.

Since cos(90-x) and sin(x) have the same value of a/c, then one can conclude that cos(90-x)=sin(x).

We can do this also for cos(x) and sin(90-x).

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