Answer:
37.5 miles per hour
Step-by-step explanation:
The question might be trying to confuse the reader. Point (1) which states the difference in weight does not show any evidence on how it affects the speed of both cyclist. Point (2) show an important point where the distance traveled is 75 miles.
Cyclist B, who leave point X at 2pm overtook cyclist A at 4pm, showing that the time it took for B to overtook A is 2 hours
Speed = distance / time
= 75 miles / 2 hours
= 37.5 miles per hour
Answer:
C) 1050π cm²
Step-by-step explanation:
Surface area of a cylinder = 2πrh + 2πr²
radius, r = 3.5cm
Height, h = 4 cm
Surface area of a cylinder = 2πrh + 2πr²
= 2 * π * 3.5 * 4 + 2 * π * 3.5²
= 28π + 2π * 12.25
= 28π + 24.5π
= 52.5π cm²
Surface area of a cylinder = 52.5π cm
There are 20 bars of soap
Total plastic Emily needs for 20 bars of soap = surface area of each soap × 20
= 52.5π cm² × 20
= 1,050π cm²
Answer:
decreasing
Step-by-Step explanation:
This is a fairly tedious problem. The only way to solve that I see is to simply list out all the possible cases and go through each one by one. You'll use the triangle inequality theorem to see if the triangles can be formed. The theorem says that a+b > c must be true for all sets of pairs. In other words, take any two sides and add them up. The sum must be greater than the third side.
Going through all the combos possible (that I could find), this is what I got
Blue9,Green7,Orange4
Blue9,Green7,Purple12
Blue9,Green7,Red3
Blue9,Green7,Yellow5
Blue9,Orange4,Purple12
Blue9,Purple12,Yellow5
Green7,Orange4,Yellow5
Green7,Red3,Yellow5
Orange4,Red3,Yellow5
In all, I count 9 cases. So the answer to problem 1 is 9.
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For problem 2, the best way may be to pick two segments at a time instead of one. However, I have a feeling that will take just as long as the first method. I haven't tried it out. Even though going through the rods one at a time takes a while, it's probably the best option so you don't overlook any cases.
