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Stels [109]
3 years ago
12

The moon forms a right triangle with the Earth and the sun during one of its phases, as shown below. A scientist measures the an

gle x and the distance y between the Earth and the sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the moon and the sun.
Mathematics
1 answer:
Paha777 [63]3 years ago
8 0
Using the Law of Sines  (sina/A=sinb/B=sinc/C for any triangle)

sinx/y=sin90/d and since sin90=1 we can say that that distance from moon to sun is:

d=y/sinx
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Choose true or false for each statement about the equation (x+14)^1/2 = x+2
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Answer:

The answer is false

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6 0
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T<br> ✓<br> Х<br> Find the sum of (x2 – 7x + 5) and (-3x2 - x + 10)<br> [
Zanzabum

Answer:

-2x² - 8x + 15 = 0

Step-by-step explanation:

Given the following algebraic expression;

x² – 7x + 5

-3x² - x + 10

To add the equation together;

x² – 7x + 5 + (-3x² - x + 10) = 0

x² – 7x + 5 - 3x² - x + 10 = 0

Collecting like terms, we have;

(x² - 3x²) - (7x + x) + (5 + 10) = 0

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8 0
3 years ago
A car starts from an initial velocity of 10m/s and accelerates at 2.5m/s².how long will it take the car to reach a speed of 40m/
PIT_PIT [208]
A=(v-u)/t
We know a=2.5, v=40, u=10, so:
2.5=(40-10)/t
2.5t=40-10
2.5t=30
Divide both sides by 2.5
t=12 It takes 12 seconds for the car to reach 40m/s

To find out how far it went, you do:
d=v+1/2 at^2
d=10+1/2(2.5)(12)^2
d=10+1/2(2.5)(144)
d=10+(1.25)(72)
d=10+90
d=100m

Hope this helps :)
7 0
3 years ago
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