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UNO [17]
4 years ago
10

You are one mile from the railroad station, and your train is due to leave in ten minutes. You have been walking at a steady rat

e of 3 mph, and you can run at 8 mph if you have to. For how many more minutes can you continue walking, until it becomes necessary for you to run the rest of the way to the station?
Mathematics
1 answer:
dybincka [34]4 years ago
8 0

Answer:

x=1.818minutes

Step-by-step explanation:

3/60 miles per minute for walk

8/60 miles per minute for run

0.05x + 0.1333y=1

x+y=10

x=y-10

0.05(y-10) + 0.133333y = 1

0.05y-0.5+0.133333y=1

0.18333y=1.5

y=8.18minutes

x=10-8.18

x=1.818minutes

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4 years ago
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Cone a has a radius of 6 units and a height of 4. Sphere B has the same volume as cone A. Find the Radius of sphere B.
postnew [5]

Answer:

3.3

Step-by-step explanation:

to determine the answer

calculate the volume of the cone

the volume of the cone  = volume of the sphere

use the volume of the sphere to find the radius

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius  

h = height

(1/3) x (22/7) x (6^2) x 4 = 150 .86

volume of sphere = (4/3) x (n) x (r^3)

n = 22/7

r = radius

(4/3) x radius^3 x (22/7)  = 150.86

radius^3 = (3/4) x (7/22) x 150.86

radius^3 = 36

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37.71

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4 years ago
How to find the area of the 45-45-90 triangle with a hypotenuse of 24?
ss7ja [257]
The area of a triangle is 1/2(base x height) .

The two legs of this triangle are equal.  If you position it properly,
one of them is the base, and the other one is the height.

Since it's a right triangle,    A² + B² = C²

But  A = B  and  C = 24 .

2A² = (24)²

A² = (24)² / 2

But since  A=B,  A² is also (base x height) of the triangle.
Area is just 1/2 of it.

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3 years ago
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3 years ago
Find the volume of a right circular cone that has a height of 9.1 cm and a base with a circumference of 13.3 cm. Round your answ
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Answer:

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Step-by-step explanation:

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V=\frac{1}{3}\pi r^2 h

Where

r is the radius

h is the height

We are given height of 9.1 cm

h = 9.1

We aren't given radius explicitly, we are given circumference of 13.3, so we need to figure out radius from that. Lets do this:

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3 years ago
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