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jasenka [17]
4 years ago
5

Does anyone know how to find x?

Mathematics
2 answers:
lyudmila [28]4 years ago
6 0
Hello!

We can solve this using trigonometric functions. We will be referring to the 70 degree angle. We need to solve for the hypotenuse. We have the length of the opposite side and need to find the hypotenuse. Therefore, we use the sine.

sin70=12/x

Since we cannot immediately solve for x, we will simplify this equation. We multiply both sides by x.

x(sin70)=12

Divide both sides by sin70.

x=12/sin70

Now we solve this equation.

12/sin70≈15.51

Therefore, x=15.51 cm.

 I hope this helps!
Debora [2.8K]4 years ago
4 0

x=15.51cm

70+90+x=180

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Answer:

<u>188 children</u> and <u>145 adults</u> were admitted in the park.

Step-by-step explanation:

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The admission fee at an amusement park is $1.50 for children and $4 for adults.

Total $862 collected on a certain day when 333 people enter the park.

Now, to find the children and adults admitted in the park.

<u><em>Let the number of children admitted be </em></u>x.<u><em /></u>

<u><em>And the the number of adults admitted be </em></u>y.<u><em /></u>

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Thus, the total amount collected of the admission fee:

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Substituting the value of x from equation (1):

1.50(333-y)+4(y)=862\\\\499.50-1.50y+4y=862\\\\499.50+2.50y=862\\\\Subtracting\ both\ sides\ by\ 499.50\ we\ get:\\\\2.50y=362.50\\\\Dividing\ both\ sides\ by\ 2.50\ we\ get:\\\\y=145.

<u><em>Thus, the number of adults = 145.</em></u>

Now, to get the number of children by substituting the value of y in equation (1) we get:

x=333-y\\\\x=333-145\\\\x=188.

<u><em>Hence, the number of children = 188.</em></u>

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Read 2 more answers
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