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2 years ago

Last week, Sarah worked for 13 hours at her part time job. If she earned $143.00 for the week, how much did she earn per hour?

Mathematics

1 answer:

bezimeni [28]2 years ago

8 0

Answer:

11 dollars an hour.

Step-by-step explanation:

143/13=11

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If $12.000 is invested in an account in which the interest earned is continuously

kykrilka [37]

Answer:

If 12,000 are put at an account with 2.5% compound interest in 15 years your total would be $17,379.58

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2 years ago

Find the exact values of a) sec of theta b)tan of theta if cos of theta= -4/5 and sin<0

Gre4nikov [31]

Answer:

Using trigonometric ratio:

$\sec \theta = \frac{1}{\cos \theta}$

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

From the given statement:

$\cos \theta = -\frac{4}{5}$ and sin < 0

⇒ $\theta$ lies in the 3rd quadrant.

then;

$\sec \theta = \frac{1}{-\frac{4}{5}} = -\frac{5}{4}$

Using trigonometry identities:

$\sin \theta = \pm \sqrt{1-\cos^2 \theta}$

Substitute the given values we have;

$\sin \theta = \pm\sqrt{1-(\frac{-4}{5})^2 } =\pm\sqrt{1-\frac{16}{25}} =\pm\sqrt{\frac{25-16}{25}} =\pm \sqrt{\frac{9}{25} } = \pm\frac{3}{5}$

Since, sin < 0

⇒ $\sin \theta = -\frac{3}{5}$

now, find $\tan \theta$ :

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

Substitute the given values we have;

$\tan \theta = \frac{-\frac{3}{5} }{-\frac{4}{5} } = \frac{3}{5}\times \frac{5}{4} = \frac{3}{4}$

Therefore, the exact value of:

(a)

$\sec \theta =-\frac{5}{4}$

(b)

$\tan \theta= \frac{3}{4}$

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3 years ago

Solve For L: A = L ⋅ W ⋅ H L=aw/h L=wh/a L=a/wh L=w/ha

bonufazy [111]

Ok so what you're trying to do is get L by itself so to do this you move everything to the other side:
A=L*WH
$\frac{A}{WH}$ =L
So you answer would be: C

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3 years ago

Read 2 more answers

You are hiking on a trail that leads down from the top of a mountain. At 11 A.M. You are at an elevation of 5400 feet. At 3 P.M.

Tems11 [23]

Step-by-step explanation:

You hiked 5400 - 3800 = 1600 feet in 4 hours so the mean change is 1600 / 4 = 400 ft/hour.

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3 years ago

Find the area of polygon ABCDE with vertices A(0, 0), B(0, 4), C(8, 8), D(14, 0), and F(9, −2).

sammy [17]

It is C 108 square units

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3 years ago