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aliina [53]
3 years ago
9

Two joggers run 8 miles north and then 5 miles west. What is the shortest

Mathematics
1 answer:
Verdich [7]3 years ago
4 0

The shortest distance they have to travel to return to their starting point is 9.4 miles.

Explanation

The joggers run 8 mile north and then runs 5 miles west. we have to calculate the shortest distance they have to travel to return to their starting point.

The distance traveled north and west respectively makes the height and base of a right angled triangle.

to find the shortest distance to the starting point, the hypotenuse has to be determined.

height h=8 miles

base b=5 miles

using pythagoras theorem

b^2+h^2=H^2\\5^2+8^2=H^2\\25+64=H^2\\89=H^2\\\\H=\sqrt{89} =9.433=9.4 miles

The shortest distance to the starting point is 9.4 miles

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Two window washers start at the heights shown. One is rising, the other is descending. How long does it take for the two window
kvasek [131]

Answer:

After 18.32 seconds washer men will be at the same height.

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Two window washers start at the heights shown. (A: 21 ft high rising 8 in per second. The other is 50 feet high descending 11 inches per second) one is rising one is descending. How long does it take for the two window washers to reach the same height? Explain

Two window washers are moving in opposite directions.

First window washer is at 21 ft and rising with the speed of 8 inches per second.

Second window washer is at 50 feet and descending with the speed of 11 inches per second.

Since 1 feet = 12 inches

Therefore, 21 feet = 21×12 = 252 inches

Similarly, 50 feet = 50 × 12 = 600 inches

Let both the window washer takes 't' time to be at the same height.

Height of the first window washer after t seconds = (252 + 8t) feet

Height of the second window washer after t seconds = (600 - 11t) feet

Since both are at the same height after time 't',

(252 + 8t) = (600 - 11t)

8t + 11t = 600 - 252

19t = 348

t = 18.32 seconds

Therefore, after 18.32 seconds washer men will be at the same height.

8 0
3 years ago
Please help! Will give brainliest!
Oksi-84 [34.3K]

Answer:

its 124 because I did the the math

5 0
3 years ago
Please help me there is a picture below,will mark you as brainlest!<br> Thank You :)
Anna11 [10]

Answer:

The answer is no

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the perimeter. Simplify your answer.
OLEGan [10]

Answer:

22w - 18  

Step-by-step explanation:

To find the perimeter we have to add up all the sides

10w-10+w+1+10w-10+w+1

combine light terms

22w - 18 would be our answer

Brainliest please

7 0
2 years ago
if each side of the cube shown above has the same length as the measured side what is the approximate volume of the cube
klemol [59]

Answer:

The measured side is not shown, so i will answer in a general way.

A cube is a 3-dimensional object with 6 square faces.

You know that all the sides of a square have the same length, then is the same for the cube.

To calculate the volume of a cube, we start with the area of the base.

The base is a square of sidelength L (Suppose that L is the length of the measured side)

The area of the base is:

A = L^2.

To find the volume, we must multiply the area of the base by the height of the fire (because the section of the base does not change).

And the height of the cube is also L.

Then the volume is:

V = L*a = L^3

5 0
3 years ago
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