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vredina [299]
3 years ago
14

Solve for x and round yout answer to the nearest tenth.

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
5 0

Answer:

x=21.35764429=21.4

Step-by-step explanation:

Take SOHCAHTOA

in this problem you're going to use SOH, which is sine= opposite/hypotenuse

sin31=11/x

Multiply by x as a way to isolate it

x(sin31)=11

divide my sin31 to isolate x

x=11/sin31

x=21.35764429

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One number is 6 more than a second number, the sum of the two numbers is 330. what are the numbers?
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Let's have the first number, the larger number, be <em>x</em>.  We'll have the second, smaller number be <em>y</em>.

We know that x = y + 6, since x is 6 greater than y.

We also know that 330 = x + y.

Because x = y + 6, 330 = y + 6 + y, which simplifies to 330 = 2y + 6.

Now all we need to do is simplify the equation.  First, we subtract 6 from both sides:

330 - 6 = 324

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So we have 324 = 2y.  Then we divide both sides by 2 to get:

162 = y

Plug in y = 162 into the equation x = y + 6 to get:

x = 162 + 6

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Let's check to make sure our answer is right.  168 is 6 more than 162.  162 + 168 equals 330.  So our two numbers are 168 and 162.

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