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3 years ago

The diameter of the circle above is 100 cm. What is the circumference of the circle ?

Mathematics

1 answer:

Paladinen [302]3 years ago

7 0

Answer: 100pi

Step-by-step explanation:

Look at attachment

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Tom's school report must be more than 12 pages, he writes at the rate of a half a page a day.

soldi70 [24.7K]

Answer:

24 days (or more)

Step-by-step explanation:

I assume you want to figure out how long it will take Tom to write the minimum amount of pages for his school report at that rate?

Since Tom writes 1/2 a page a day and he must write 12 or more pages, then it will take him 2 days to write one page, thus, 24 days to write 12 pages.

Therefore, Tom needs at least 24 days to write his school report.

3 0

2 years ago

Read 2 more answers

Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

3 years ago

What is the slope of the line AB?

spayn [35]

Answer:

The slope of line AB is 2/1

Step by step explanation:

Hope this helps!!

6 0

3 years ago

What is the following product

Sloan [31]

Answer:

option D

60√3 - 21√6

...........

4 0

3 years ago

10. Which expression is represented by the model below?<br> +<br> o

galben [10]

I remember doing this one and its c

5 0

3 years ago