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avanturin [10]
2 years ago
6

Find m∠Y. Put the answer below. m∠Y =

Mathematics
2 answers:
Dmitriy789 [7]2 years ago
7 0

Answer:

60 degrees

Step-by-step explanation:

We are given the measures of WY and XY. Using them, we can find out 2WY=XY.

In 30-60-90 right triangle, the hypotenuse is 2 times the shortest leg. This means that this triangle is a 30-60-90 triangle. Angle Y is the angle made by the shorter leg and the hypotenuse therefore it is 60 degrees.

Tems11 [23]2 years ago
6 0

Answer:

60°........

.......

......

.....

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Write 825 million in scientific notation.<br> please show your work
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Answer:

8.5*10^7

Step-by-step explanation:

825 million is

825,000,000

so you need to do 8.25 and then 10 to the power of 8

so the answer is 8.5*10^8

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An entry code into a building is a 5-digit number.
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Step-by-step explanation:

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Find the measure of angle eight in each triangle round each answer to the nearest 10th
vlada-n [284]

Answer:

# m∠A = 65.3°

# m∠A = 25.8°

# m∠A = 22.7°

Step-by-step explanation:

* Lets revise the trigonometry function to solve the problem

- In any right angle triangle:

# The side opposite to the right angle is called the hypotenuse

# The other two sides are called the legs of the right angle

* If the name of the triangle is ABC, where B is the right angle

∴ The hypotenuse is AC

∴ AB and BC are the legs of the right angle

- ∠A and ∠C are two acute angles

- For angle A

# sin(A) = opposite/hypotenuse

∵ The opposite to ∠A is BC

∵ The hypotenuse is AC

∴ sin(A) = BC/AC

# cos(A) = adjacent/hypotenuse

∵ The adjacent to ∠A is AB

∵ The hypotenuse is AC

∴ cos(A) = AB/AC  

# tan(A) = opposite/adjacent

∵ The opposite to ∠A is BC

∵ The adjacent to ∠A is AB

∴ tan(A) = BC/AB

* Lets solve the problems

# In Δ ABC

∵ m∠B = 90°

∵ AB = 2.3 ⇒ adjacent to angle A

∵ BC = 5 ⇒ apposite to angle A

- To find m∠A use the tangent function because we have opposite

  and adjacent sides

∴ tan A = BC/AB

∴ tan A = 5/2.3 ⇒ use tan^-1 to find m∠A

∴ m∠A = tan^{-1}\frac{5}{2.3}=65.29756

* m∠A = 65.3°

# In Δ ABD

∵ m∠B = 90°

∵ AB = 5.4 ⇒ adjacent to angle A

∵ DA = 6 ⇒ the hypotenuse

- To find m∠A use the cosine function because we have adjacent

  and hypotenuse sides

∴ cos A = AB/DA

∴ cos A = 5.4/6 ⇒ use cos^-1 to find m∠A

∴ m∠A = cos^{-1}\frac{5.4}{6}=25.84193

* m∠A = 25.8°

# In Δ ABE

∵ m∠B = 90°

∵ EB = 2.4 ⇒ opposite to angle A

∵ EA = 6.8 ⇒ the hypotenuse

- To find m∠A use the sine function because we have opposite

  and hypotenuse sides

∴ sin A = EB/EA

∴ sin A = 2.4/6.8 ⇒ use sin^-1 to find m∠A

∴ m∠A = sin^{-1}\frac{2.4}{6.8}=22.6673

* m∠A = 22.7°

3 0
3 years ago
If 5x - 2y = 6 and 3x + 2y = 10, then find x​
Darina [25.2K]

Answer:

x=2

Step-by-step explanation:

After solving with substitution, you would know x = 2

5 0
3 years ago
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