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SashulF [63]
3 years ago
15

A fan has five equally spaced blades. Suppose you line up two fans directly on top of each other. What is the least number of de

grees that you can rotate the top fan so that the two fans are perfectly aligned again?
A: 120 Degrees

B: 60 Degrees

C: 90 Degrees

D: 72 Degrees

Mathematics
1 answer:
Masja [62]3 years ago
5 0
Each blade is 360/5=72° apart from the next blade, so you would need to rotate the top fan by at least 72° to again line up with the bottom fan.
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The value of $\sqrt{73}$ is between two positive, consecutive integers. What is the product of these two integers?
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Step-by-step explanation:

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64 and 81

\sqrt{64} \leq \sqrt{73} \leq  \sqrt{81}\\8\leq \sqrt{73} \leq 9\\8*9 = 72

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3 years ago
What is the upper quartile, Q3, of the following data set? 54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41
scZoUnD [109]
The original data set is 
{<span>54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41}

Sort the data values from smallest to largest to get
</span><span>{38, 41, 43, 46, 48, 52, 53, 54, 55, 56, 60, 62, 65, 67, 70} 
</span>
Now find the middle most value. This is the value in the 8th slot. The first 7 values are below the median. The 8th value is the median itself. The next 7 values are above the median. 

The value in the 8th slot is 54, so this is the median

Divide the sorted data set into two lists. I'll call them L and U 
L = {<span>38, 41, 43, 46, 48, 52, 53}
U = {</span><span>55, 56, 60, 62, 65, 67, 70}
they each have 7 items. The list L is the lower half of the sorted data and U is the upper half. The split happens at the original median (54).

Q3 will be equal to the median of the list U
The median of U = </span>{<span>55, 56, 60, 62, 65, 67, 70} is 62 since it's the middle most value. 

Therefore, Q3 = 62

Answer: 62</span>
4 0
3 years ago
if both expressions have the same value after substituting two different values and simplifying, then they are . When p = 2, the
Radda [10]
2p=16 and second expression is 8p=40
3 0
3 years ago
Read 2 more answers
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