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Ghella [55]
3 years ago
8

Need some help with this equation

Mathematics
1 answer:
Aleks04 [339]3 years ago
7 0

Hello!

It seems that you only need to find the adjacent side to our angle, and the hypotenuse. First of all, let's use the sine to find the hypotenuse.

sin31≈0.52

This gives us the equation below.

0.52=14/x

Let's solve this equation.

0.52x=14

x≈26.92

We could use the Pythagorean Theorem to find the other side, but let's stick to using trigonometric ratios. Let's use the tangent as 14 is more exact than our hypotenuse length.

tan31≈0.6

This gives us the equation below.

0.6= 14/x

0.6x=14

x≈23.33

Therefore, our lengths are shown below.

b≈23.33 (Leg)

c≈ 26.92 (Hypotenuse)

I hope this helps!

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Answer:

It would cost more to go to the zoo by $6

Step-by-step explanation:

The total amount that each attraction costs can be given by;

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Total cost at the science center=cost per ticket×number of tickets

where;

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Number of tickets=3 tickets

Substituting;

36.75=c×3

c=(36.75/3)=12.25 per ticket to go to the science ticket

For 12 students, total cost at the science center=(12.25×12)=$147

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Total cost at the zoo=cost per ticket×number of tickets

where;

Total cost at the zoo=$51

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Number of tickets=4 tickets

Substituting;

51=d×4

d=(51/4)=12.75 per ticket to go to the zoo

For 12 students, total cost at the zoo=(12×12.75)=$153

Total zoo cost-Total science center cost=(153-147)=$6

It would cost more to go to the zoo by $6

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C.

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