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kkurt [141]
3 years ago
11

Katelyn has a job and her hourly wage is $6.50 an hour. She receives 9% of the tips on any given night. If she works 7 hours and

her job makes $1,342.25 in tips during that time, how much money does she earn?
Mathematics
1 answer:
Anna11 [10]3 years ago
5 0

Answer:

She earns $166.3024

Step-by-step explanation:

Katelyn's hourly wage = $6.50

Her 7 hours wage = 7 × $6.50 = $45.5

Tip made = $1342.25

Katelyn's share of the tip made = 9/100 × $1342.25 = $120.8025

Her earnings = $45.5 + $120.8025 = $166.3025

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For what values of θ is sinθ < cosθ when 0 ≤ θ < π ?
zysi [14]
<h3>Answer:  0 \le \theta < \frac{\pi}{4}</h3>

=========================================================

How to get this answer:

Use the unit circle to note that \sin\theta = \cos\theta = \frac{\sqrt{2}}{2} when \theta = \frac{\pi}{4} (aka 45 degrees)

Beyond this point, cosine is smaller than sine. This means that anything from 0 to pi/4 will have sine be smaller than cosine. It might help to graph y = sin(x) and y = cos(x) on the interval from x = 0 to x = pi.

The two curves y = sin(x) and y = cos(x) intersect at the point \left(\frac{\pi}{4}, \frac{\sqrt{2}}{2}\right)

-------------------------------

Here's a more detailed picture of whats going on.

\sin \theta < \cos \theta\\\\\sin \theta < \sqrt{1-\sin^2\theta}\\\\\sin^2 \theta < 1-\sin^2\theta \\\\2\sin^2 \theta < 1\\\\\sin^2 \theta < \frac{1}{2}\\\\\sin \theta < \sqrt{\frac{1}{2}}\\\\\sin \theta < \frac{1}{\sqrt{2}}\\\\\sin \theta < \frac{\sqrt{2}}{2}\\\\\theta < \arcsin\left(\frac{\sqrt{2}}{2}\right)\\\\\theta < \frac{\pi}{4}\\\\

Intersect the intervals 0 \le \theta < \pi and \theta < \frac{\pi}{4} and you'll end up with the final answer 0 \le \theta < \frac{\pi}{4}

4 0
3 years ago
Real answer or you get reported
denis23 [38]

Answer:

(4 , 1 , -5)

Step-by-step explanation:

hopefully it is clear and visible...and also understandable

:)

5 0
3 years ago
3. VIDEO GAME Porsche bought a new video game. The first time she played, it took her 24 minutes to reach Level 2, the second ti
Vlad1618 [11]

Answer:

it is 70 minutes total

Step-by-step explanation:

just add them

7 0
3 years ago
Please help Me Solve This Geometry Problem
frozen [14]

6h+5(h-5)= 52

Mutiply the bracket by 5

(5)(h)(5)(-5)= 5h-25

6h+5h-25= 52

move -25 to the other side

sign changes from -25 to +25

6h+5h-25+25= 52+25

6h+5h= 77

11h= 77

divide by 11

11h/11= 77/11

Cross out 11 and 11, divide by 11 and becomes 1*1*h= h

h= 7

Answer: h= 7

5 0
4 years ago
A line segment has the endpoints (9, -16) and L (7,12) find the coordinates of its midpoints M
Anastasy [175]

Answer:

The answer to your question is: (8, -2)

Step-by-step explanation:

Data

A (9, -16)

L (7, 12)

Formula

                Xm = \frac{x1 + x2 }{2}              Ym = \frac{y1 + y2}{2}

                Xm = Xm = \frac{9 + 7}{2}         Ym = \frac{-16 + 12}{2}

               Xm = 8                                              Ym = -2

8 0
3 years ago
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