Answer:
increase
Step-by-step explanation:
First, we need to find the mean of the given data set without any change.
10 + 61 + 10 + 44 + 21 + 79 + 27 + 12 = 264
264 ÷ 8 = <u>33</u>
Now that we have the mean, we can find the mean of the data set with the change of 52.
10 + 61 + 10 + 44 + 21 + 79 + 27 + 52 = 304
304 ÷ 8 = <u>38</u>
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From this, we can see that the mean has increased with the change of 12 to 52. Thus, that's the correct option.
hope this helps!
First you must know that for remarkable angles: cos (0) = 1, cos (π) = - 1, cos (π / 2) = 0, cos (3π / 2) = 0, cos (2π) = 1. Then, by simple substitution in the given formula, you can find the solutions of x. Which for the interval [0, 2π) are: x = π, x = pi divided by two and x = three pi divided by two.Attached solution.
Answer: 30° and 330°
<u>Step-by-step explanation:</u>
sec θ = 
sec θ = 
= 
cos θ = 
cos θ = 
cos θ = 
cos θ = 
Look at the Unit Circle to see that cos =
at 30° and 330° ( which is equivalent to π/6 and 11π/6)
Answer:
B
Step-by-step explanation:
Angle 4 × Angle 3 = 90
Complementary angles
11x + 4x = 90
15x = 90
x = 6
Angle 3 = 4x = 4(6) = 24°
The tree is 20 m tall .
Step-by-step explanation:
<h2>Given : </h2>
- 2m tall tree cast a shadow 4 m long .
=> 2 m tree = 4 m long
If we find shadow of 1 m tall tree = 4/2
=> we have to find height of 10 m tall tree which is .. = 4/2 × 10 = > 20 m