Answer:
The distance traveled at a constant speed is directly proportional to the time of travel. If Olivia traveled 112 miles in 3.5 hours, how many miles will Olivia travel in 8.9 hours at the same constant speed?
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Proportion:
x/8.9 = 112/3.5
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x = 8.9(112/3.5)
x = 284.8 miles
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Cheers,
Answer:
slope is 5
Step-by-step explanation:
first you subtract the second y minus the first y then you subtract the second x minus the first x and then u divide the result of y over the result of x :)
The IQR is the difference between Q3 and Q1.
First we need to get the data from the stem and leaf plot:
10, 23, 23, 28,] [33, 45, 80, 90
Since there are 8 data items Q1 would be the median of the lower half (4 items), both are 23 so Q1 is 23.
Q3 is the median of the upper half, since the middle numbers are not the same we need to average 45 and 80. (45 + 80)/2 = 62.5 so Q3 = 62.5
IQR = 62.5 - 23 = 39.5
For this triangle in particular, we can use the special rules of a 30-60-90 triangle
This says:
The opposite side of 30° is: x
The opposite side of 60° is: x * sqrt(3)
The opposite side of the 90° is: 2x
We have our side length for 90° so we just have to work backwards
To find our 30° side length we must divide by 2
8/2 = 4
Which means your y = 4
Now that we have our 30° side length we can just multiple it by sqrt(3)
That means your x = 4 sqrt(3)
50° <span>is the measure of angle AFB</span>
