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KonstantinChe [14]
3 years ago
11

Find the value of x. Round your answer to the nearest tenth.

Mathematics
1 answer:
skad [1K]3 years ago
8 0

Answer:

x = 9.7

Step-by-step explanation:

Reference angle (θ) = 68°

Opposite = 24

Adjacent = x

Apply, the trigonometric function, TOA which is:

tan (/theta) = \frac{Opp}{Adj}

Plug in the values

tan 68 = \frac{24}{x}

Multiply both sides by x

x*tan 68 = 24

Divide both sides by tan 68

x = \frac{24}{tan 68}

x = 9.69662942

x = 9.7 (nearest tenth)

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Answer:

x = -0.8

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Step-by-step explanation:

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10x = -8 (Divide each side by 10)

x = -0.8

<CAD = 5x - 4

<CAD = 5(-0.8) - 4

<CAD = -4 - 4

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3 years ago
There are 7 oak trees in Aidan's yard. The other 2 trees in his yard are maple trees.
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hichkok12 [17]

Answer:

<h2>x = 2 </h2><h2>y = - 3</h2><h2>z = - 2</h2>

Step-by-step explanation:

6y - 5z = -8 .......... Equation 1

3z = -6 ................... Equation 2

4x - 3y - 2z= 21...... Equation 3

<u>First solve for z in Equation 2</u>

That's

3z = - 6

Divide both sides by 3

<h3>z = - 2</h3>

Next substitute the value of z into Equation 1 in order to find y

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Finally substitute the values of y and z into Equation 3 to find the value of x

That's

4x - 3(-3) - 2(-2) = 21

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Divide both sides by 4

<h3>x = 2</h3>

So the solutions are

<h3>x = 2 </h3><h3>y = - 3</h3><h3>z = - 2</h3>

Hope this helps you

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