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koban [17]
3 years ago
6

A waterwheel is being turned by a stream at a rate of 3 revolutions per minute. If the diameter of the wheel is 15 ft, then how

fast is the stream flowing
Mathematics
1 answer:
kodGreya [7K]3 years ago
3 0

Answer:

0.7176 m/s m/s

Step-by-step explanation:

We are given;

Rate = 3 rev/min

Diameter: d = 15 ft

Now, we want to find how fast the stream is flowing which is the linear velocity.

Thus;

linear velocity = circumferential distance × number of revolutions

Now, circumferential distance = πd

Circumferential distance = 15π

Thus;

linear velocity = 15 × π × 3 = 45π ft/min

Converting to m/s gives;

Linear velocity = 45π/197 m/s

Linear velocity = 0.7176 m/s

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Why is it important to consider scale when graphing inequalities?
tigry1 [53]
<span>If two numbers on a graph differ by 1, without scale, the amount of inequality could vary infinitely. If the scale is 2, a difference of 1 is half the scale amount, but if the scale is 1000, the difference may be negligible. It is the scale that shows the degree to which the entries differ.</span>
4 0
4 years ago
If b is between a and c then ab+bc=ac
erma4kov [3.2K]
That's false. Take the numbers 1, 3, and 5.
Let a = 1, b = 3, and c = 5.
ab + bc = ac
3 + 15 = 5
18 ≠ 5
Since 18 does not equal 5, this is false. If you were to use the distributive property on ab + bc = ac, you would get
b(a+c) = ac, which doesn't even make sense.
Have a nice day! :)
3 0
3 years ago
Each side of a square is increasing at a rate of 7 cm/s. At what rate is the area of the square increasing when the area of the
Vilka [71]

Answer:

Step-by-step explanation:

The rate if increase of side of square is 7cm/s

dL/dt=7

At what area is the area increasing

dA/dt=?

Areas of square is give to be 36cm²

Analysis

Let L be the length of each side of the square, a square has equal side.

Area of square is give as L²

Area=L²

L²=36

i.e L=√36

L=6cm

Therefore at t=0 L=6cm and A=36cm²

A=L²

dA/dL=2L

Given that, dL/dt=7

Multiply the two differential together

dA/dt= dA/dL × dL/dt

dA/dt= 2L × 7

dA/dt= 2×6×7

dA/dt= 84cm²/s

The rate of increase of the square is 84cm²/s

4 0
3 years ago
Work out the area of triangle ABC.<br> B.<br> 25 cm<br> A<br> 32 cm<br> D<br> 2 cm
Law Incorporation [45]

Answer:

Step-by-step explanation:

ΔADB is a right angled triangle. So, use Pythagorean theorem.

Altitude² = hypotenuse² - base²

               = (2√5)² - (3√2)²

              = 2²* (√5)² - 3²*(√2)² = 4*5 - 9*2 = 20 - 18 = 2

Altitude = √2

Base of ΔABC = 3√2 + √2 = 4√2 cm

Area = \dfrac{1}{2}bh

         = \dfrac{1}{2}*4\sqrt{2}*\sqrt{2}\\\\\\=\dfrac{1}{2}*4*\sqrt{2*2}\\\\\\=\dfrac{1}{2}*4*2\\\\= 4 cm^{2}

7 0
3 years ago
35 babies were recently born at Gwinnett Medical Center. If 13 of them were girls,
Nastasia [14]

Answer:

= 62.8

Step-by-step explanation:

35 - 13 = 22

Now,

23 are boys

here

22/35 * 100

= 62.8

6 0
4 years ago
Read 2 more answers
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