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arlik [135]
3 years ago
6

At 10:00 am, Han and Tyler both started running toward each other from opposite ends of a 10 mile path along a river. Han runs a

t a pace of 12 minutes per mile Tyler runs at a pace of 15 minutes per mile how far does Han run after a half hour explain your reasoning
Mathematics
2 answers:
valina [46]3 years ago
7 0
2.5 miles 30÷12=2.5
Genrish500 [490]3 years ago
7 0

Answer:

2.5 miles

Step-by-step explanation:

We are given that

Total length of path=10 mile

Han runs at a pace=12 minutes per mile

Tyler runs at a pace=15 minutes per mile

We have to find the distance run by Han after a half hour.

Half hour=30 minutes

Using unitary method

Han runs distance in 12 minutes=1 mile

Han runs distance in 1 minute=\frac{1}{12} mile

Han runs distance in 30 minutes=\frac{1}{12}\times 30=2.5 miles

Hence, Han runs 2.5 miles after half hour.

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The answer is 70 eggs for 35 cups
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3 years ago
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The area of this circle is 96π m². what is the area of a 30º sector of this circle?
dlinn [17]
Answer: 8π square meters

Explanation: 

First, we convert the angle of the sector to radians, which is 30 degrees. 

Note that 180 degrees is equal to π radians. Since 30 degrees is equal to 180 degrees divided by 6, 

30 degrees = π/6 radians

Thus, the angle of the sector in radians is π/6.

So, the area of the sector is given by 

(Area of sector) = (1/2)(radius)²(angle of the sector in radians)
                          = (1/2)(radius)²(π/6)
                          = (π/12)(radius)²
                          = (1/12)(π)(radius)²

Note that

(Area of the circle) =  (π)(radius)² = 96π

Therefore, the area of the 30-degree sector is given by 

(Area of the sector) = (1/12)(π)(radius)²
                                = (1/12)(Area of the circle)
                                = (1/12)(96π)
(Area of the sector) = 8π square meters

6 0
3 years ago
Read 2 more answers
Express √12+√27 in the form n√3, where n is an integer.
olga2289 [7]

Answer:

5sqroot3

Step-by-step explanation:

see image.

An integer is just a whole positive or negative (positive in this case) number that's not a fraction or decimal or mixed number. In the answer that is the 5.

To simplify a radical, look for a factor that is a perfect square. Radicals and multiplying are very friendly to each other and you can separate the "radicand" (the inside number) into factors inside the radical also into separate radicals to simplify. See image

7 0
2 years ago
Hailey cut a 9-1/3 foot rope into pieces that are each 1/3 foot long. How many pieces of rope did she cut?
arsen [322]

Answer:

28

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4 0
4 years ago
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The cylinder has a volume of 12pi cubic inches and a diameter of 4 inches. Find the cylinders radius and height. The cylinders r
asambeis [7]

Answer:

<h3>          The cylinder's radius is <u> 2 </u> inches </h3><h3>                and it’s height is <u> 3 </u> inches.</h3>

Step-by-step explanation:

A diameter is two radiuses long, so the cylinder's radius is:

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The volume of cylinder is: V = πR²×H

Therefore:

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8 0
3 years ago
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