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3 years ago

5

Madge is the manager at a sports arena that draws an average 3,500 patrons per event. Each ticket taker can process 200 event-go

ers per event. How many ticket takers should Madge hire?

1 answer:

german3 years ago

3 0

Answer:

18

Step-by-step explanation:

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6 >2 k + 4 what does k equal

USPshnik [31]

Answer:

k = anything that is less than 2, so 1, 0, -1, -2, -3, -3 1/4, etc.

Hope that helps!

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

L –3 |<br><br><br> A. 3<br><br> B. -3<br><br> C. 0.30<br><br> D. 30

Vesnalui [34]

Answer:

| -3 | = 3

Step-by-step explanation:

minus is removed

7 0

3 years ago

9. A circle has an arc of length 56pi that is intercepted by a central angle of 120 degrees. What is the radius of the circle?

SSSSS [86.1K]

Answer:

Part 4) $r=84\ units$

Part 9) $sin(\theta)=-\frac{\sqrt{5}}{3}$

Part 10) $sin(\theta)=-\frac{9\sqrt{202}}{202}$

Step-by-step explanation:

Part 4) A circle has an arc of length 56pi that is intercepted by a central angle of 120 degrees. What is the radius of the circle?

we know that

The circumference of a circle subtends a central angle of 360 degrees

The circumference is equal to

$C=2\pi r$

using proportion

$\frac{2\pi r}{360^o}=\frac{56\pi}{120^o}$

simplify

$\frac{r}{180^o}=\frac{56}{120^o}$

solve for r

$r=\frac{56}{120^o}(180^o)$

$r=84\ units$

Part 9) Given cos(∅)=-2/3 and ∅ lies in Quadrant III. Find the exact value of sin(∅) in simplified form

Remember the trigonometric identity

$cos^2(\theta)+sin^2(\theta)=1$

we have

$cos(\theta)=-\frac{2}{3}$

substitute the given value

$(-\frac{2}{3})^2+sin^2(\theta)=1$

$\frac{4}{9}+sin^2(\theta)=1$

$sin^2(\theta)=1-\frac{4}{9}$

$sin^2(\theta)=\frac{5}{9}$

square root both sides

$sin(\theta)=\pm\frac{\sqrt{5}}{3}$

we know that

If ∅ lies in Quadrant III

then

The value of sin(∅) is negative

$sin(\theta)=-\frac{\sqrt{5}}{3}$

Part 10) The terminal side of ∅ passes through the point (11,-9). What is the exact value of sin(∅) in simplified form?

see the attached figure to better understand the problem

In the right triangle ABC of the figure

$sin(\theta)=\frac{BC}{AC}$

Find the length side AC applying the Pythagorean Theorem

$AC^2=AB^2+BC^2$

substitute the given values

$AC^2=11^2+9^2$

$AC^2=202$

$AC=\sqrt{202}\ units$

so

$sin(\theta)=\frac{9}{\sqrt{202}}$

simplify

$sin(\theta)=\frac{9\sqrt{202}}{202}$

Remember that

The point (11,-9) lies in Quadrant IV

then

The value of sin(∅) is negative

therefore

$sin(\theta)=-\frac{9\sqrt{202}}{202}$

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3 years ago

Question 2 of 10<br> Enter the value 2

marta [7]

What is the question you are asking?

7 0

3 years ago

Boris is ordering supplies for his company. He ordered 25 boxes of pencils and 40 boxes of pens. What is the ratio of boxes of p

mario62 [17]

Answer:

8:5

Step-by-step explanation:

40:25 can be simplified by diving by 5. You get 8:5 for the ratio of the number of boxes of pens to the number of boxes of pencils, and the ratio cannot be reduced any more from here.

3 0

3 years ago