Answer:415
Step-by-step explanation:
Angle DBE + Angle CBE = 90°
(0.1x-22)° + (0.3x-54)° = 90°
(0.4x - 76)° = 90°
(0.4x)° = 166°
x= 1660/4 = 415
(0.1 415 - 22)° + (0.3 415-54)° = 90°
41.5 - 22 + 124.5 - 54 = 90
166 - 76 = 90
Answer:
G7. (2√3)/3
G8. -2+√7
G9. (6 +2√2 -3√3 -√6)/7
Step-by-step explanation:
G7.

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G8.

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G9.

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<em>Comment on the problems</em>
In most cases, these expressions are the simplest possible (take the least amount of ink to draw, and take the fewest math operations to evaluate). What seems to be intended is that the denominator be made a rational number. This is done by multiplying the given fraction by a fraction equal to 1 that has the same denominator but with the sign of the radical reversed (unless, as in the first case, the radical is by itself).
The purpose of doing this is to take advantage of the fact that (a-b)(a+b) = a²-b², so if "a" or "b" is a square root, that root will not be seen in the product. In problem G9, we see this can make the numerator quite messy--not exactly a simpler form--but all the irrational numbers are in the numerator.
Answer:
5.1
Step-by-step explanation:
14^-2*1000
Answer:
Sampling variation
Step-by-step explanation: took the quiz
Answer:
4%
Step-by-step explanation:
Volume of sphere
v = (4/3)πr^3
Volume moon/ volume planet
We don't actually need the numeric value of the radius
just the 35% ratio
Radius of moon = .35 radius of planet
Vm/ Vp = (4/3)π(.35r)^3 / (4/3)π(r)^3
Cancel like terms
Vm / Vp = .35^3
Vm / Vp = 0.042875
Expressed as a percentage
Vm / Vp = 4.2875%
Rounded
Vm / Vp = 4%