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2 years ago

6

A stadium sold 4,000 tickets at $75/ticket, 5,350 tickets at $62/ticket and 7,542 tickets at $49/ticket. What was the total tick

et sales revenue?

1 answer:

iren [92.7K]2 years ago

8 0

Answer:

£1,001,258

Step-by-step explanation:

(75x4000)+(62x5350)+(49x7542)=£1,001,258

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At a certain time of day, the angle of elevation of the sun is 80degree. Find the height of a tree whose shadow is 44 feet long.

Arte-miy333 [17]

The height of the tree is 249.5 feet

<h3>How to determine the height of the tree?</h3>

The given parameters are:

Elevation angle = 80 degrees
Shadow length (L) = 44 feet

Let the height of the tree be x.

So, we have:

tan(80) = x/44

Multiply both sides by 44

x = 44 * tan(80)

Evaluate

x = 249.5

Hence, the height of the tree is 249.5 feet

Read more about elevation at:

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2 years ago

16) Please help with question. WILL MARK BRAINLIEST + 10 POINTS.

Katyanochek1 [597]

We will use the sine and cosine of the sum of two angles, the sine and consine of $\frac{\pi}{2}$ , and the relation of the tangent with the sine and cosine:

$\sin (\alpha+\beta)=\sin \alpha\cdot\cos\beta + \cos\alpha\cdot\sin\beta

\cos(\alpha+\beta)=\cos\alpha\cdot\cos\beta-\sin\alpha\cdot\sin\beta$

$\sin\dfrac{\pi}{2}=1,\ \cos\dfrac{\pi}{2}=0$

$\tan\alpha = \dfrac{\sin\alpha}{\cos\alpha}$

If you use those identities, for $\alpha=x,\ \beta=\dfrac{\pi}{2}$ , you get:

$\sin\left(x+\dfrac{\pi}{2}\right) = \sin x\cdot\cos\dfrac{\pi}{2} + \cos x\cdot\sin\dfrac{\pi}{2} = \sin x\cdot0 + \cos x \cdot 1 = \cos x$

$\cos\left(x+\dfrac{\pi}{2}\right) = \cos x \cdot \cos\dfrac{\pi}{2} - \sin x\cdot\sin\dfrac{\pi}{2} = \cos x \cdot 0 - \sin x \cdot 1 = -\sin x$

Hence:

$\tan \left(x+\dfrac{\pi}{2}\right) = \dfrac{\sin\left(x+\dfrac{\pi}{2}\right)}{\cos\left(x+\dfrac{\pi}{2}\right)} = \dfrac{\cos x}{-\sin x} = -\cot x$

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3 years ago

An item costs $45.60. If there is a 30% discount on the item, what is the discounted cost of the item?

kondor19780726 [428]

Discounted Cost= Cost of Item - (Cost of Item * % Discount)

= $45.60 - ($45.60 * 30%)
convert % to decimal (30% ÷ 100)

= 45.60 - (45.60 * 0.30)
multiply in parentheses

= 45.60 - 13.68

= $31.92 discounted cost

ANSWER: The discounted cost of the item is $31.92 (savings of $13.68).

Hope this helps! :)

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3 years ago

A rectangle has a perimeter of 182 in and length of 52 in. What is the width?

Alik [6]

Check the picture below.

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3 years ago

4(x – 3) <br> need help answering this question

AVprozaik [17]

Answer:

4x-12

Step-by-step explanation:

4 x x is 4x and 4x-3 is -12

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3 years ago