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uysha [10]
2 years ago
6

Two bicyclists are 7/8 of the way through a mile long tunnel when a train approaches the closer end at 40 mph. The riders take o

ff at the same speed in opposite directions and each escapes the tunnel as the train passes them. How fast did they ride?
Mathematics
1 answer:
Anastaziya [24]2 years ago
6 0

Answer:

the cyclists rode at 35 mph

Step-by-step explanation:

Assuming that the cyclists stopped, and accelerated instantaneously at the same speed than before but in opposite direction , then

distance= speed*time

since the cyclists and the train reaches the end of the tunnel at the same time and denoting L as the length of the tunnel :

time = distance covered by cyclists / speed of cyclists = distance covered by train / speed of the train

thus denoting v as the speed of the cyclists :

7/8*L / v = L / 40 mph

v = 7/8 * 40 mph = 35 mph

v= 35 mph

thus the cyclists rode at 35 mph

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Answer:

the answer you will get is 61.5

Step-by-step explanation:

First you calcuate the number of days in the learning process there will be which there will be 49 days since 7 days x 7 weeks = 49 days. Then, you divide 3,016 and 49 to get 61.5510204 and then you round that up to get 61.5 or is you want a whole number with no decimals 62

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A = 0.9 o 
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<span>o = a/0.9 = 1.111a </span>
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The library is 1.75 miles directly north from the school. The park is 0.6 miles directly south of the school. How far away is th
Kryger [21]

Answer:

2.35 miles

Step-by-step explanation:

Please find the attachment for visual understanding.

We are told that the library is 1.75 miles directly north from the school and the park is 0.6 miles directly south of the school.

To find distance between library and park we will add distance of library from school to the distance of park from school.

(1.75+0.6)\text{ miles}=2.35\text{ miles}  

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7 0
2 years ago
A football field is 120 yards long by 53 yards wide if a player runs diagonally from one corner to the opposite corner. How far
qaws [65]

Answer: They will travel about 131.18 yards.

Step-by-step explanation:

Given : A football field is 120 yards long by 53 yards wide.

We know that a football field is rectangular in shape.

Each interior angle in a rectangle is a right angle.

Then, by Pythagoras theorem, we have

(Diagonal)² = (Length)² + (Width)²

If a player runs diagonally from one corner to the opposite corner, then the length of the diagonal is given by :-

(\text{Diagonal})=\sqrt{(120)^2+(53)^2}\\\\\Rightarrow\ (\text{Diagonal})=\sqrt{14400+2809}\\\\\Rightarrow\ (\text{Diagonal})=\sqrt{17209}\\\\\Rightarrow\ (\text{Diagonal})=131.183078177\approx131.18\text{ yards}

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Why did the queen have the king measure the rug
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Because he was such a good ruler
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