Answer:
70 yd.
Step-by-step explanation:
The three streets at the intersection form a right triangle.
For a right triangle, the length of the longest side (called hypothenuse) is given by Pythagorean's theorem:

where
x is the length of the 1st side
y is the length of the 2nd side
h is the length of the hypothenuse
Here we want to find the hypothenuse.
We have:
x = 42 yd (length of the 1st side)
y = 56 yd (length of the 2nd side)
Substituting, we find h:

Alright, so since 20/100=1/5, and 1/5 of 45=9, 20% off of 45=9 and 45-9=36 dollar sale. Since 30=30/100, we can divide 95 by 100 and multiply that by 30 to get 0.95*30=28.5. 95-28.5=66.5
Next, we need to find 8% of 36+66.5=102.5. 8=8/100, so we divide 102.5 by 100 and multiply it by 8, getting 1.025*8=8.2
9514 1404 393
Answer:
21 miles per hour
Step-by-step explanation:
Let w represent the wind speed. Then the travel time is ...
400/(329 +w) = 352/(329 -w)
400(329 -w) = 352(329 +w)
(352+400)w = 329(400 -352)
w = (400 -352)/(400 +352)·329 = 48/752·329 = 21
The wind speed is 21 miles per hour.
Answer:
P = 0.0714
Step-by-step explanation:
If two faces of the larger cube that share and edge are painted blue, it means that 28 of the 64 unit cubes are painted in at least one side and 36 cubes have no painting faces.
Additionally, from the 28 cubes painted only 4 have exactly two painted faces.
Then, to calculate the number of ways in which we can select x elements from a group of n, we can use the following equation:

So, the probability that one of two selected unit cubes will have exactly two painted faces while the other unit cube has no painted faces is:

Because there are 64C2 ways to select 2 cubes from the 64, and from that, there are 4C1*36C1 ways to select one cube with exactly two painted faces and one cube with no painted faces.
Answer:
(-1, 0.5)
Step-by-step explanation:
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