Trigonometry question! find the vaule of x. round to the nearest tenth!

Mathematics

1 answer:

atroni [7]2 years ago

8 0

Answer:

Step-by-step explanation:

Look at the picture.

Use tangent:

$tangent=\dfrac{opposite}{adjacent}$

We have a measure of the angle and length of the adjacent:

$\alpha=10^o,\ adjacent=500$

$\tan10^o\approx0.17633$

Substitute:

$\dfrac{x}{500}=0.17633$ multiply both sides by 500

$x=88.165\to x=88.2$

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SashulF [63]

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Step-by step explanation:

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2 years ago

I already solved this problem. I just need help with the HINT part.

frutty [35]

$x+y=25 \\ y=25-x~~Other~number~in~terms~of~x \\ \\ x^2+y^2=313 \\ x^2+2xy+y^2=313+2xy \\ (x+y)^2=313+2x(25-x) \\ \frac{25^2-313}{2} =25x-x^2 \\ x^2-25x+156 \\ \\ \Delta =(-25)^2-4\times 1\times 156 \\ \Delta =625-624 \\ \sqrt{\Delta}=1 \\ \\ x= \frac{25 \pm 1}{2} \\ x= \left \{ {{x_1=13} \atop {x_2=12}} \right.$

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$y= \left \{ {{y_1=25-13 \rightarrow~y_1=12} \atop {y_1=25-12 \rightarrow ~y_1=13}} \right.$

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2 years ago

How do I solve this equation to get the solution? y= -2x - 1 -3x + 6y = 24

swat32

There are a few ways to solve this. The method I will use is the substitution method. Since they give us a "y = " statement, we can replace the y in the second equation with what it gives us to the right of the equal sign.

- 3x + 6(- 2x - 1) = 24

Simplify by using the distributive property.

- 3x + 6(- 2x) + 6(- 1) = 24
- 3x - 12x - 6 = 24.

Combine like terms

- 15x - 6 = 24

Add 6 to each side.

- 15x = 30

Divide both sides by - 15 to isolate variable X

x = 30 / - 15
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Now plug in the x-value we've found back into the first equation.

y = - 2( - 2) - 1
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Your answer is (- 2, 3)

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2 years ago

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nika2105 [10]

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