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3 years ago

1. What is the approximate area of a circle with a diameter of 20 inches?

Mathematics

1 answer:

ad-work [718]3 years ago

7 0

Answer:

1. 100 $\pi$

2. 27 $cm^{3}$

3. 30

Step-by-step explanation:

Area = $\pi$ $r^{2}$

= $\pi$ x $10x^{2}$

= 100 $\pi$

Volume = l x w x h

= 3 x 3 x 3

= 27

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How many times does the minute hand move around the clock face in one day?

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<span>The hour hand will go around the clock twice during a day, every 12 hours. During a single rotation, the minute hand will go around 12 times. The minute hand will pass the hour hand 11 times in the first 12 hours, and 11 times in the second 12 hours. This means that they will meet 22 times.</span>

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Answer:

-1/128

Step-by-step explanation:

1,-1/2,1/4,-1/8,1/16,-1/32,1/64,-1/128

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3 years ago

What is the distance between the lines y = 2x and y = 2x+5? Round your answer to the nearest tenth.

Ilia_Sergeevich [38]

The distance between both lines is 2.24 units

Step-by-step explanation:

There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.

Given

$y=2x\\Putting\ x=1\\y=2(1)\\y=2\\So, the\ point\ on\ y=2x\ is\ (1,2)$

We have to find the distance of this point from y=2x+5

$y=2x+5\\Subtracting\ y\ from\ both\ sides\\y-y=2x+5-y\\2x-y+5=0$

The formula for finding distance of a point (x,y) from a line is:

$d=\frac{|Ax+By+C|}{\sqrt{A^2+B^2}}$

A=2

B=-1

C=5

Putting the values in the formula

$d=\frac{|(2)(1)+(-1)(2)+5|}{\sqrt{(2)^2+(-1)^2}}\\d=\frac{|2-2+5|}{\sqrt{4+1}}\\d=\frac{|5|}{\sqrt{5}}\\d=\frac{5}{\sqrt{5}}\\d=2.236\ units$

Rounding off will give: 2.24 units

The distance between both lines is 2.24 units

Keywords: Equations of lines

Learn more about distance in lines at:

#LearnwithBrainly

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3 years ago

What is the volume of the sphere shown below?

Angelina_Jolie [31]

The answer is b !
hope this helps !!

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3 years ago

Geraldo has a coupon for $12 off the total bill at a local restaurant. Geraldo does not want to spend more than $65. The inequal

Trava [24]

In here, we could write an equality as x – 12 < 65. In solving inequalities, we follow the same rule as solving algebraic expressions. We will transpose 12 to the other side, giving us x < 65 + 12. Simplifying, we have x < 77. Geraldo must have a bill less than $77 in order for him not to spend more than $65.

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4 years ago

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