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vlada-n [284]
2 years ago
8

Solve the equation: 10^5÷10^3 = _____

Mathematics
1 answer:
KIM [24]2 years ago
3 0

Answer:

100

Step-by-step explanation:

10^5= 100,000

10^3= 1,000

100,000÷1,000= 100

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A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B an
____ [38]

Answer: 70  meters.

Step-by-step explanation:

Observe the figure attached.

The distance between the walls is:

DE=AD+AE

<em />

Both triangles are right triangles. Therefore, you can calculate the distance  between the walls as following:

- Calculate the distance AD:

cos\alpha=\frac{adjacent}{hypotenuse}\\\\cos(60\°)=\frac{AD}{60}\\AD=30m

- Calculate the distance AE:

tan\beta =\frac{opposite}{adjacent}\\\\tan(45\°)=\frac{40}{AE}\\\\AE=\frac{40}{tan(45\°)}\\\\AE=40m

Therefore the distance between the walls is:

DE=30m+40m=70m

6 0
3 years ago
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Jlenok [28]

Answer:

3q/2

Step-by-step explanation:

3p+3q=p

2p=-3q

p=-3q/2

4 0
2 years ago
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Wittaler [7]

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Step-by-step explanation:

7 0
2 years ago
Which of these lines is perpendicular to the line 3y = -2x + 5?
lesya [120]
Answer
Option C. 2y=3x+2
5 0
2 years ago
What are the coordinates of the terminal point determined by θ=7π/6?
erma4kov [3.2K]
Cos ( theta ) = cos 7π/6 = -√3/2
sin ( Theta ) = sin 7π/6 = -1/2
Coordinates of the terminal points are: ( -√3/2,  -1/2 ) 
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3 years ago
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