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ira [324]
2 years ago
7

10 points!! Help me out please!!

Mathematics
1 answer:
Nezavi [6.7K]2 years ago
7 0

<u>To solve this, we need to use our trigonometric equations</u>

  <em>⇒ look at the diagram attached</em>

<u>Let's examine what the problem wants:</u>

  • the length of the side adjacent to the 58-degree angle

<u>Let's examine what the problem gives us:</u>

  • the length of the side opposite to the 58-degree angle
  • the angle that has a measure of 58-degrees

<u>Let's solve:</u>

  tan(58)=\frac{22}{x} \\22=x*tan(58)\\x=\frac{22}{tan(58)} \\x=13.75

<u>Answer: 13.8</u> (<em>rounded to nearest tenth)</em>

<u>Hope that helps!</u>

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Y= - x+2 Y=3x-4<br> Estimate the solution to the system of equations
IrinaVladis [17]

Answer:

x=\frac{3}{2}\\ y=\frac{1}{2}

Step-by-step explanation:

y=-x+2\\y=3x-4

Let's solve one of them for x.

y=3x-4

Add 4

y+4=3x

Divide by 3.

x=\frac{y+4}{3}

Now, plug the value of y in the formula, or you can plug the value of x in the other equation. I'll take this one.

x=\frac{y+4}{3}

x=\frac{(-x+2)+4}{3}

x=\frac{-x+2+4}{3}

x=\frac{-x+6}{3}

Multiply by 3 to get rid of the denominator.

3x=-x+6

add x

3x+x=6

Combine like terms;

4x=6

Divide by 4.

x=\frac{6}{4}

Simplify.

x=\frac{3}{2}

Now that you found the value of x, replace it in any of the equations to find y.

y=-x+2\\y=-(\frac{3}{2})+2\\ y=-\frac{3}{2}+2

y=\frac{-3+2*2}{2} \\y=\frac{-3+4}{2} \\y=\frac{1}{2}

Proof:

y=3x-4\\\frac{1}{2}=3(\frac{3}{2})-4\\\frac{1}{2}=(\frac{9}{2})-4

\frac{1}{2}=\frac{9-4*2}{2}

\frac{1}{2}=\frac{9-8}{2}

\frac{1}{2}=\frac{1}{2}

8 0
3 years ago
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Answer:

x = 8 \\ x - 8 = 8 - 8 \\ x - 8 = 0

Hope it helps.

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How do you factor the expression 7+28 using the gcf
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Answer:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

(48-8)÷2=20

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3 years ago
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