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2 years ago

College algebra chapter 3

Mathematics

1 answer:

Harman [31]2 years ago

5 0

Equation given: $S = 16t^2$

S: distance fallen --> 1279 ft
t: time taken for the distance fallen

Solve:

$S = 16t^2\\1279=16t^2\\t^2 = 79.93\\t=8.9$

Thus it took 8 seconds for the thing to fall from the top

Hope that helps!

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Step-by-step explanation:

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Answer:

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Solve for a. a+(−1.2)=−5.5

Oksanka [162]

It is a + (-1.2) = -5.5
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Hope this helps!

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3 years ago

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A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou

gogolik [260]

Answer: In degrees , The measure of $\theta=65.5^{\circ}$

In radians , the measure of $\theta =\dfrac{8}{7}\text{ radians}$ .

Step-by-step explanation:

We know that the formula for length of arc is given by :-

$l=\theta r$

, where $\theta$ = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l= 8 m

Substitute these values in the above formula , we get

$8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}$

Hence, the measure of $\theta =\dfrac{8}{7}\text{ radians}$ .

To convert it into degrees we multiply it with $\dfrac{180^{\circ}}{\pi}$

The measure of $\theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}$

$=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}$

$\approx65.5^{\circ}$

Hence, the measure of $\theta=65.5^{\circ}$

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