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zzz [600]
3 years ago
7

How do you show the work to come to the conclusion that 2 equivalent ratios for 12/14 are6:7and 24:28

Mathematics
1 answer:
Ad libitum [116K]3 years ago
8 0
Reduce fractions to their most simple form
12/14 you can divide both up and bottom by 2
12/14→6/7

24/28, both up and bottom can be divided by 4
24/28→6/7
6/7=6/7=6/7
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2 years ago
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3 years ago
A circle has a circumference of 28π centimeters. In terms of π, what is the area of the circle to the nearest square centimeter?
Vadim26 [7]

Hi there!

The formula to find the are of a circle is :

a = \pir²

The formula to find the circumference of a circle is :

c = 2\pir


In order to use the area formula, you need to figure out what the radius (r) is.

If we solve for "r" in the circumference equation, we have :

r = c ÷ (2\pi)


Now we use this to replace "r" in the area formula :

a = \pi ( c ÷ (2\pi))²


When we simplify this we get :

a = c² ÷ 4\pi


Now you can put your value of "c" into this equation and find "a".

*Remember, \pi is about 3.1416.


Solving for "a" :

a = c² ÷ 4\pi

a = 28² ÷ 4\pi


28² = 28 × 28 = 784


a = 784 ÷ 4\pi


4\pi = 4 × \pi = 12.56637061435917


a = 784 ÷ 12.56637061435917

a = 62.38873769202297cm²


You need to round to the nearest square centimeter, which means that you need to round to the nearest whole number :

a = 62cm²


There you go! I really hope this helped, if there's anything just let me know! :)

8 0
3 years ago
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2 years ago
THE FUNCTION ARCSINE CAN ALSO BE DEFINED AS?
vodomira [7]
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This can be particularly useful when you're trying to find an angle on a right triangle, but you've only been given the lengths of the sides. To find any angle \theta in a right triangle, just take \sin^{-1} \frac{o}{h}, where o is the side opposite \theta and h is the hypotenuse of the right triangle.

3 0
3 years ago
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