Answer:
For the answer to the question above,
the Order the set of numbers from least to greatest: square root 64, 8 and 1 over 7, 8.14 repeating 14, 15 over 2
15 over 2, square root 64, 8 1 over 7, 8.14 repeating 14.
Step-by-step explanation:
Answer:
We have the function:
r = -3 + 4*cos(θ)
And we want to find the value of θ where we have the maximum value of r.
For this, we can see that the cosine function has a positive coeficient, so when the cosine function has a maximum, also does the value of r.
We know that the meaximum value of the cosine is 1, and it happens when:
θ = 2n*pi, for any integer value of n.
Then the answer is θ = 2n*pi, in this point we have:
r = -3 + 4*cos (2n*pi) = -3 + 4 = 1
The maximum value of r is 7
(while you may have a biger, in magnitude, value for r if you select the negative solutions for the cosine, you need to remember that the radius must be always a positive number)
Answer:
512 mph
Step-by-step explanation:
The relevant relation is ...
speed = distance/time
speed = 1792 mi/(3.5 h) = 512 mi/h
The plane's average rate of speed should be 512 miles per hour.
The measure of the indicated angle to the nearest degrees is 23 degrees.
<h3>How to find angle of a right angle triangle?</h3>
The angle of a right angle triangle can be found as follows:
Therefore, the angle can be found using trigonometric ratios as follows;
cos ∅ = adjacent / hypotenuse
Therefore,
adjacent side = 35 units
hypotenuse side = 38 units
Hence,
cos ∅ = 35 / 38
∅ = cos⁻¹ 0.92105263157
∅ = 22.9272842944
∅ ≈ 23 degrees.
learn more on triangle here: brainly.com/question/20759265
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6x-2=5x+29
6x-5x-2=29
x-2=29
x=31
