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MA_775_DIABLO [31]
2 years ago
7

Can you find both the value of x and y? It is a 30-60-90 triangle

Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
3 0

Answer:

x = 8*root3

y = 16

Step-by-step explanation:

You can use tangent and cosine of 60° to find x and y, BUT THERE'S A SHORTCUT. You pointed out that its a 30°-60°-90° triangle. That is a special right triangle. Here's the shortcut:

the longest side (hypotenuse) is double the shortest side. We have an 8 on the shortest side, so the hypotenuse (longest side) is 16. This ALWAYS works for 30°-60°-90° triangles!

Another shortcut:

The longer leg is the shorter leg × root3.

This ALWAYS works on 30°-60°-90° triangles.

So on your triangle, the short side is 8, that means the longer leg is 8×root3.

ta-daaaa!

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Abe real estate is developing 15 solar homes per states. If the cost of each home is estimated at 80,000 what’s the projected co
Soloha48 [4]

Answer:

the Total cost= 1,200,000*number of states

Step-by-step explanation:

Given the  cost of each home is $80,000

The number of homes per state are 15

The Total cost of the project is = (Total number of houses per state) * (cost of each house) * (the number of states).

Therefore the total cost =15*80000*Number of states.=1,200,000*number of states

3 0
3 years ago
Solve the equation.Check your solution<br><br>1.5x = 3
PIT_PIT [208]
Divide both sides by 1.5

1.5x = 3

x = 2

Check the equation by plugging in the 2.

1.5(2) = 3

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3 0
3 years ago
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A bag contains the following marbles: 6 black marbles, 18 blue marbles, 16 brown marbles, and 12 green marbles. What is the rati
netineya [11]

Answer:

1 : 3

Step-by-step explanation:

4 0
3 years ago
1/2(8-x)=10<br> A.12<br> B.3<br> C.-12
Murljashka [212]
4-1/2x=10
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3
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7 0
3 years ago
Need help please! A=?
zubka84 [21]

Answer:

  m∠A ≈ 103°

Step-by-step explanation:

Enough information is shown for us to be able to use the Law of Sines to find the angle. That tells us ...

  sin(A)/a = sin(C)/c

  A = arcsin(a/c·sin(C)) = arcsin(26/6·sin(13°)) = arcsin(0.974788)

  A = 77.1° or 102.9°

The claim is that the figure is drawn to scale, so we can assume that A is an obtuse angle:

  m∠A ≈ 103°

__

<em>Additional comment</em>

The sum of angles A and B must be 180° -13° = 167°. Since angle A is the largest, it must be more than half this value, or more than 83.5°. That means, we must choose the obtuse angle for A, rather than the acute angle.

7 0
2 years ago
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