Answer:
Step-by-step explanation:
Hello!
Absolut value is just the number regardless it is negative or positive.
For example, the absolute value of -6 is 6, -82 is 82 and 5 is 5
So the absolute value of 2 1/3 is 2 1/3
Hope this helps!
Answer:
4 laps
Step-by-step explanation:
Isaac ran 4 laps.
The equation is y = 20(1.40)^x
where x is the number of days and y is the future amount after x days go by
The 1.40 is from the fact that 1+r = 1+0.40 = 1.40, where r is the decimal form of 40%, so r = 0.40
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Plug in x = 7 to get
y = 20(1.40)^x
y = 20(1.40)^7
y = 210.827008
y = 211
We round to the nearest whole number since it doesn't make much sense to have a fractional portion of an algae. After 7 days, there are about <u>211</u> algae.
For the first problem, we use the trigonometric function cosine. The equation would be:
cos (1/2)θ = 3960 / (3960 + 90)
Solving for θ
θ = 24.20°
Solving for the distance the satellite can see:
s = rθ
s = 3960 (24.20) π/180
s = 1672.79 mi
The satellite can see1672.79 mi of distance.
For the second problem, we approach the reverse manner as the first problem.
Solving for the angle,
θ = s/r
θ = 3000 / 3960
θ = 0.7576 (180/π) = 43.41°
Solving for h:
cos 1/2 (43.41) = 3960 / (3960 + h)
h = 302.19 mi
The satellite must be 302.19 mi above the Earth.
13/17 if you are trying to simplify it. You divide it by 3 on the top and bottom
