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erik [133]
3 years ago
11

Find the height of the triangle

Mathematics
2 answers:
kotykmax [81]3 years ago
8 0
The given triangle is a right angle. To solve this, we can use;

sin theta = opposite / hypotenuse ; where theta =20 ; h = 10
sin (20) = x / 10
x = 3.42

The answer is the fourth one, 3.42
Paul [167]3 years ago
7 0
There are two -main- approaches to answer this problem. By using the sine identity, or applying law of sines.

We'll do the sine trig. identity, as it is the most effective.

Given an angle '\alpha' in a right triangle, 'sin( \alpha )' is defined as the opposite side of the triangle to the given angle, over the triangle's hypotenuse.

So, for this setup:
sin(20)= \frac{x}{10}

Now, we solve for x:
x=10sin(20)=3.42

So, answer is 3.4
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Use the properties of rational exponents to simplify 6/6 1/4
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Answer:

one

Step-by-step explanation:

Use the properties of rational exponents

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3 years ago
Solve for x.<br><br> 6x - 3 = 21 - 2x<br><br> (SHOW YOUR WORK)
patriot [66]

Answer:

Simplifying

6x + -3 = 21 + -2x

Reorder the terms:

-3 + 6x = 21 + -2x

Solving

-3 + 6x = 21 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.

-3 + 6x + 2x = 21 + -2x + 2x

Combine like terms: 6x + 2x = 8x

-3 + 8x = 21 + -2x + 2x

Combine like terms: -2x + 2x = 0

-3 + 8x = 21 + 0

-3 + 8x = 21

Add '3' to each side of the equation.

-3 + 3 + 8x = 21 + 3

Combine like terms: -3 + 3 = 0

0 + 8x = 21 + 3

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8x = 24

Divide each side by '8'.

x = 3

Simplifying

x = 3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
1) Find the mean of the following numbers: 5, 11, 8, 8, 7, 4, 10, 9, 7, 7, 6​
SashulF [63]
Mean = 5+11+8+8+7+4+10+9+7+7+6 divided by the number of observations which is 10

Therefore, mean = 73/10
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4 0
3 years ago
Part A
Deffense [45]

Answer: Not safe

Step-by-step explanation:

Let the angle of elevation of the ramp be θ, then:

\begin{aligned}&\sin \theta=\frac{1.5}{10}=0.15 \\&\theta=\sin ^{-1}(0.15) \approx 8.63^{\circ}\end{aligned}

But the maximum angle for the ramp cannot exceed 7.1°. The calculated angle of elevation will make it difficult, if not impossible, for motorized wheelchairs to get up the ramp.

Therefore, the ramp at the local library is not safe for motorized wheelchairs

5 0
2 years ago
Find the difference.<br> 100 – (-87)
Firlakuza [10]

Answer: 187

Step-by-step explanation:

negative cancels negative so that will turn to positive. (-) x (-) = +

100- (-87)

=

100 + 87

= 187

5 0
3 years ago
Read 2 more answers
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