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Greeley [361]
3 years ago
9

A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. if th

e smaller rim makes x revolutions per second, how many revolutions pe
Mathematics
1 answer:
Oxana [17]3 years ago
7 0
1 revolution of a circle = circumference of that circle.

<span>1 revolution of a circle with the diameter of 28 inches = </span><span><span>πd=28π</span><span>πd=28π</span></span><span> inches. Hence, x revolutions per second = </span><span><span>28πx</span><span>28πx</span></span><span> inches per second = </span><span><span>60∗28πx</span><span>60∗28πx</span></span><span> inches </span>per minute.

<span>Given that </span><span><span>60∗28πx=35πn</span><span>60∗28πx=35πn</span></span><span> --> </span><span><span>n=<span><span>60∗28πx</span><span>35π</span></span>=48x</span><span>n=<span><span>60∗28πx</span><span>35π</span></span>=48x</span></span><span>.</span>
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Diego was asked to plot these points: (-50, 0), (150, 100), (200, -100), (350, 50), (-250, 0). What interval could he use for ea
ivolga24 [154]

Answer:

Interval of 50 on both axis

Step-by-step explanation:

Given

(x_1,y_1) = (-50,0)

(x_2,y_2) = (150,100)

(x_3,y_3) = (200,-100)

(x_4,y_4) = (350,50)

(x_5,y_5) = (-250,0)

There are several ways to do this, but I will use the observation method, since the dataset is small.

Considering the x-coordinates

x = \{-50,150,200,350,-250}

Each element of the data set is a multiple of 50.

Hence, an interval of 50 can be used on the x-axis

Considering the y-coordinates

y = \{0,100,-100,50,0\}

Each element of the data set is a multiple of 50.

Hence, an interval of 50 can be used on the y-axis

<em>So, an interval of 50 can be used on both axes</em>

5 0
3 years ago
600 divided by 15 is the same as
Lemur [1.5K]

Answer:

is there more to the question?

8 0
3 years ago
A traditional postage stamp has a width of 4/5 inches and a length of 9/10. What is the area of a traditional postage stamp?
Illusion [34]
4/5*9/10= 36/50 = 18/25

Just multiply the fractions straight across since area is length*height
5 0
3 years ago
Read 2 more answers
Can anyone help me with this please
Novay_Z [31]
This is how the sketch should look on your graph!

8 0
3 years ago
8х + 5у = -7<br> — 7х + бу = — 4
Levart [38]

Answer: x = -0.2651 and y = -0.9759

Step-by-step explanation:

Solution by substitution method

8x+5y= -7

-7x+6y= -4 = 7x-6y=4

Suppose,

8x+5y=-7→(1)

7x-6y=4→(2)

Taking equation (1), we have

8x+5y= -7

⇒8x= -5y -7

⇒x= -5y-7 / 8 →(3)

Putting x= -5y-7 / 8

in equation (2), we get 7x-6y=4

7(-5y-7/8)-6y=4

⇒-35y-49-48y=32

⇒-83y-49=32

⇒-83y=32+49

⇒-83y=81

⇒y= 81 / -83

⇒y= -0.9759→(4)

Now, Putting y= -0.9759 in equation (3), we get

x= -5y-7

x= -5(-0.9759)-7/8

⇒x= 4.8795-7/8

⇒x= -2.1205/8

⇒x= -0.2651

∴x= -0.2651 and y = -0.9759

7 0
3 years ago
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