Answer: x=2 - 1/2 x ㏒(16/2953125)
Step-by-step explanation:
- log (28^2) + log(525^-3) + 2x=log(10^4)
- log(28^2 x 1/523^3) + 2x=4
- log(28^2/525^3) + 2x=4
- log (112/75 x 75 x 525) + 2x=4
- log(16/2953125) + 2x=4
- 2x=4-log(16/2953125)
- <u><em>x=2-1/2 x log(16/2953125)</em></u>
Answer:
9 2 8 6
Step-by-step explanation:
9 positive x-tiles
2 positive unit tiles
8 positive x-tiles
6 negative unit tile
Answer:
x°= 55°
Step-by-step explanation:
First, find the degrees of the larger triangle.
Since every triangle equals 180° degrees, make an equation.
60°+90°+a°= 180°
Now, add the degrees together.
120°+a°= 180°
Then subtract from both sides.
120°+a°= 180°
-120 ° -120°
a°= 60°
Now that you know the sum of all the angles, subtract 25° from 60°(which is the measure of a).
60°-25°= 35°
Now that we have the measurement of the angle from the smaller triangle inside the larger one, make an equation.
35°+90°+x°= 180°
Then, add the degrees.
125°+x°= 180°
Subtract from both sides of the equation to get the answer for the variable.
125°+x°= 180°
-125° -125°
x°= 55°
<h3>
Answer: 79 full rotations</h3>
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Explanation:
150 cm = 150/100 = 1.5 m
The wheel has a diameter of 1.5 meters
The circumference of the wheel is
C = pi*d
C = pi*1.5
C = 1.5pi
C = 4.71238898038469
I'm using my calculator's stored version of pi to get the most accuracy.
Then we divide the 376.8 over the circumference found
(376.8)/(4.71238898038469) = 79.9594434093682
Despite being very close to 80, we must round down to 79 because we don't have enough to get that full 80th rotation. In other words, we have 79 full rotations and then some change leftover.
Though for the sake of simplicity, I can see how it's useful to say "about 80 rotations" if 79 seems a bit clunky. I'll stick with 79 however. Let me know if your teacher instructs otherwise.
The ratio A/r² would represent
which is the circumference of a circle divided by its diameter.
You can see this because the area of a circle is
r² and if you divided that by the radius squared, you are given pi which is the circumference of a circle divided by its diameter.
