3 years ago

Solve for X x = ___ (Round to the nearest hundredth)

Mathematics

1 answer:

Elena L [17]3 years ago

6 0

Answer:

12.62

Step-by-step explanation:

imagine a circle with the center at the corner (let's call it A) with the 31 degree angle. the radius is AB.

so,

x = sin(31)×AB

and

21 = cos(31)×AB

therefore,

AB = 21/cos(31) = 24.4993...

=> x = sin(31)×24.4993... = 12.62 (12.61807...)

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Haynes High School chartered buses for 60 students to go on a field trip. Valley High School chartered buses for 80 students.

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Answer: $20

Step-by-step explanation:

Let 'x' be the cost of a ticket at Haynes

Let 'y' be the cost of a ticket at Valley

Since the total cost from both schools are the same, we can write it as:

$60x=80y$

Since the cost of tickets at Valley was $5 less than Haynes, we can write it as:

$y=x-5$

Now we have two equations, we can use to substitute into the other expression:

$60x=80y$

$60x=80(x-5)$ we substitute y in this equation with the other equation

$60x=80x-400$

$-20x =-400$

$x = 20$

Therefore the cost of the ticket at Haynes is $20 and the cost of the ticket at Valley is $15.

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