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Amiraneli [1.4K]
3 years ago
13

A rock falls off a balcony. It's height (in feet) is given by the formula f(x)=-16t^2+13.4t+120, where t in measured in seconds.

How long will it take the rock to hit the fround? Round your answers to the nearest three decimal places.
Mathematics
2 answers:
nevsk [136]3 years ago
8 0

Answer:

equate f(x) to zero to find the time t

-16t² +13.4t +120 = 0

Using the quadratic formula

t = -b ± √b² - 4ac/2a

a = -16t b = 13.4 c = 120

t = -13.4±√(13.4)² - 4(-16)(120)/-32

= -13.4 ± √ 7859.56/-32

t = - 2.35 or t = 3.19

Since time is positive

t = 3.19s

Hope this helps.

natima [27]3 years ago
5 0

Answer:

-16t² + 13.4t + 120

= ( t-3.189)(t+2.352)

t = 3.189s or t = -2.352s (ignore)

ignore -2.352s because time cannot be in negative form

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Answer:

Step-by-step explanation:

Because MK is a diameter, then angle L is a right angle. We already know that the measure of angle K is 50, so the measure of angle M has to be 40 because of the triangle angle-sum theorem. The rule for inscribed angles and the arcs they cut off is that the angle is half the measure of its intercepted arc or, likewise, the arc is twice the measure of the angle that cuts it off. Since arc LK is across from angle M and is cut off by angle M, then arc LK is twice the measure of angle M, and is 80. That's the same reason why angle L is 90; arc MK is a semi-circle, with a degree measure of 180, and angle L is half of that.

Arc LK = 80

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Katie needs to pay $27.9.

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Ulleksa [173]

\qquad\qquad\huge\underline{{\sf Answer}}♨

Since it's a Trapezoid with its non - parallel sides equal to one another,

\qquad \sf  \dashrightarrow \:\angle A + \angle P = 180

[ By forming co - interior angle pair ]

\qquad \sf  \dashrightarrow \:\angle A +100 = 180

\qquad \sf  \dashrightarrow \:\angle A = 180 - 100

\qquad \sf  \dashrightarrow \:\angle A = 80

Now, similarly,

\qquad \sf  \dashrightarrow \:\angle A + \angle R = 180

\qquad \sf  \dashrightarrow \: \angle R + 80 = 180

\qquad \sf  \dashrightarrow \: \angle R  = 100

Similarly,

\qquad \sf  \dashrightarrow \angle K + \angle R = 180

\qquad \sf  \dashrightarrow \angle K + 100 = 180

\qquad \sf  \dashrightarrow \angle K  = 80

3 0
3 years ago
Read 2 more answers
What’s the answer???
Harrizon [31]

first

second

and fifth are true

Basically the square root of -1 is i. From that you should be able to deduce the answers.

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