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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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Elliot is 2 times as old as Tanya. 10 years ago, Elliot was 4 times as old as Tanya​. How old is Elliot now?
Serggg [28]

Answer:

Step-by-step explanation:

To solve this, we are going to make an age table:

                       Age Now                 Age 10 years ago

Tanya

Elliot

Filling the in the Age Now column comes from the first sentence. If Elliot is 2 times Tanya's age and we don't know Tanya's age, then Tanya's age is x and Elliot's age is 2x:

            Age Now                Age 10 years ago

Tanya         x

Elliot         2x

Filling in the Age 10 years ago column simply requires that we take their ages in the Age Now column and subtract 10 from each age:

         Age Now                Age 10 years ago

Tanya     x                              x - 10

Elliot      2x                           2x - 10

Since the question is How old is Elliot now based on the fact that 10 years ago....blah, blah, blah, we are using the ages in the 10 years ago column to write our equation. It says:

10 years ago, Elliot was 4 times as old as Tanya. Translated into mathspeak:

2x - 10 = 4(x - 10) and

2x - 10 = 4x - 40 and

-2x = -30 so

x = 15. That means that Elliot is 30 and Tanya is 15

4 0
3 years ago
How many solutions does the system have?
Ipatiy [6.2K]
It’s has NO SOLUTION.
8 0
3 years ago
Read 2 more answers
20 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
polet [3.4K]

Answer:

Y = A/X

Step-by-step explanation:

divide x from xy, balance the equation by dividing x from a.

8 0
3 years ago
Read 2 more answers
Select the correct difference. -3z 5 - (-7z 5) (A)-10z5 (B)-4z5 (C)4z5 (D)4z
kogti [31]

Answer:

Correct choice is (C). 4z^5.

Step-by-step explanation:

Given expression is -3z^5-\left(-7z^5\right).

Now we need to simplify that then select the correct difference value from the given choices.

-3z^5-\left(-7z^5\right)

negative times negative is positive

=-3z^5+7z^5

Combine like terms because variable z has same exponent.

=(-3+7)z^5

=4z^5

Hence correct choice is (C). 4z^5.

8 0
3 years ago
The first number is what percent of the second ? <br><br> x of y
mel-nik [20]
I really don't know what you mean, but to find the percent, multiply x and y and then divide your answer by 100, or move your decimal place to the left twice. hope that helped :)
6 0
3 years ago
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