Answer: 140
Step-by-step explanation:
If you substitute the two for 40 and then subtract it from 180° (the angle of the line) then you will get one 40°
Answer:4.5 hope this helps
Step-by-step explanation:
Answer:
3031081 / 40678884
Step-by-step explanation:
To solve this, we can find the surface area of the moon and Earth, and then see how much the moon covers the Earth. The surface area of a sphere is equal to 4πr², so the radius of the Earth is
4πr² = 4 * π * 6378²
and the radius of the moon is
4πr² = 4 * π * 1741²
To figure out how much of the Earth's surface that the moon covers, we can implement a ratio of moons:Earth. This will give us an understanding of how many moons go inside one Earth. We thus have
(4 * π * 1741²) : ( 4 * π * 6378²) = (4 * π * 1741²) / ( 4 * π * 6378²)
cross out the 4 * π in the numerator and denominator
1741²/6378²
Next, we want to make the denominator 1, as that gives us 1 Earth. To do this, we can divide both the numerator and denominator by 6378². Because we are applying the same expression to both the numerator and denominator, this is essentially multiplying the fraction by 1, keeping it the same. We thus have
(1741²/6378²)/(6378²/6378²)
≈0.0745/1
≈ 0.0745
To put this in a fraction, we would have
(1741²/6378²)/1
= (1741²/6378²)
= 3031081 / 40678884
Answer:
Slope= 3/11
Step-by-step explanation:
Slope formula= ![\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
Use the points (-8, 2) and (3,5)
=
= ![\frac{3}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B11%7D)
Slope= ![\frac{3}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B11%7D)
Use point-slope to find the equation
y-y1=m(x-x1)
*Use the slope (previously found) as m, and (3,5) as your point (x,y)*
y-5=
(x-3)
y-5=
x-3![\frac{3}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B11%7D)
+5 +5
y=
x+2![\frac{3}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B11%7D)