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4 years ago

tickets to the concert were 2.50$ for adults and 1$ for students 1200$ was collected and 750 tickets were sold

Mathematics

1 answer:

Lelechka [254]4 years ago

4 0

450 student tickets were sold and 300 adult tickets were sold (I believe this is what was meant to be asked.

It won’t let me add attachments without reloading and not working, so if you need the work just ask and I will be happy to type it out.

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24. A flat roof rises at a 30° angle from the front wall of a storage shed to the back wall. The front wall is

katovenus [111]

Answer:

Length of the roof line is $17.4\ feet$ . And depth of the shed is $15.07\ feet$

Step-by-step explanation:

Given front wall is 11.5 feet tall, back wall is 20.2 feet. And roof rises at 30° angle from the front wall.

Let $h$ be the length of the roof line. And $b$ the depth of the shed.

We can see it is a right angle triangle with opposite $20.2-11.5=8.7\ feet$ (see the attachment)

Now,

$sin(30)=\frac{Opposite}{Hypotenuse}\\ \\sin(30)=\frac{8.7}{h}\\\\h=\frac{8.7}{0.5}\\\\h=17.4\ feet$

Also,

$tan(30)=\frac{Opposite}{Adjacent}\\\\tan(30)=\frac{8.7}{b}\\\\b=\frac{8.7}{tan(30)}\\\\b=\frac{8.7}{0.577}\\\\b=15.07\ feet$

So, Length of the roof line is $17.4\ feet$ . And depth of the shed is $15.07\ feet$

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3 years ago

Read 2 more answers

Which of the following ratios is equivalent to 8:3?

Slav-nsk [51]

WORK:
8×2 = 16
3×2 = 6
ANSWER:
D.) 16/6

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3 years ago

Read 2 more answers

18 is 60% of what number

Ksenya-84 [330]

18 is 60% of 30. I know this because 10% of 30 is 3 and 3 * 6 is 18

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3 years ago

Triangle JKL was translated 12 units vertically and then reflected over the y-axis to create triangle J'K'L' What is the value o

vova2212 [387]

Answer:

B. 6

Step-by-step explanation:

The picture of the question in the attached figure

we know that

A translation and a reflection are rigid transformations, that produce congruent figures'

Remember that

Two figures are congruent if their corresponding sides and their corresponding angles are congruent

In this problem

Triangle JKL and Triangle J'K'L' are congruent

$JL=J'L'$

substitute the given values

$8=2x-4$

solve for x

$2x=8+4\\2x=12\\x=6$

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3 years ago

Solve for xx. Round to the nearest tenth, if necessary.

Mashcka [7]

sin U= |TS| / |US|

-> |US| = |TS| / sinU

-> x= 0.6 / sin 37°

-> x≈1,0

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2 years ago