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miv72 [106K]
3 years ago
14

Why does it take 3 copies of 1/6 to show the same amount as 1 copy of 1/2?

Mathematics
2 answers:
melisa1 [442]3 years ago
7 0
Because 1/2 of 6 =1/3 and 1/2×1/3=1/6
tekilochka [14]3 years ago
4 0
The number 3 can be expressed as a fraction 3/1. If we multiply the fraction 1/6 by 3/1 we get:
1/6 x 3/1 = (1 x 3)/(6 x 1)
(1 x 3)/(6 x 1) = 3/6
Now just simplify the fraction:
3/6 = 1/2
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At a pet shop 5 herbals out of 15 have black hair and 3 mice out of 9 have black hair. Are the ratios the Same?
dmitriy555 [2]

Answer: Yes.

Step-by-step explanation:

First ratio

5 : 15

Simplify (divide both sides by 5)

1 : 3

Second Ratio

3 : 9

Simplify (divide both sides by 3)

1 : 3

8 0
3 years ago
I need the volume for 9,11,and 13
mihalych1998 [28]

Hey there!

<h3>Question 1</h3>

Let's use 3.14 for pi during this. It'll make it a lot easier.

The volume for a cone is \pi r^{2} \frac{h}{3}.

The diameter of this cone is 17.6 inches. Since the radius is half the diameter, we can find the radius by dividing this amount by 2.

17.6 ÷ 2 = 8.8

The height of this cone is 23.4 inches.

Plug the values into the equation.

\pi 8.8^{2} \frac{23.4}{3}

Next, square 6.8 and divide 23.4 by 3. Also, replace the pi symbol with 3.14.

3.14 * 77.44 * 7.8

Multiply the numbers together.

<u>The volume of this cone is approximately 1896.66 cubic inches.</u>

<h3>Question 2</h3>

Finding the volume of a trapezoidal prism can be done by finding the are of the trapezoidal face and multiplying it by the depth.

Formula for finding the area of a trapezoid is a = \frac{1}{2} h(b_{1} +b_{2} )

The two bases are 10 and 34, and the height is 24.7 feet. Put these values into the equation.

a = \frac{1}{2} 24.7(10 +34 )

Add 10 and 34, then multiply it by 24.7 and 1/2.

a = 543.4

Multiply that value by 19, which is the depth of the figure.

<u>The volume of the prism is 10324.6 cubic feet.</u>

<h3>Question 3</h3>

The formula for volume of a triangular pyramid is v = 1/3ah, with a the area of the base and h the height.

The formula for the area of an equilateral triangle, which is the base, is a = \frac{\sqrt{3} }{4} s^{2}

The length of the side is 12, so we can square that to get 144.

Now multiply that by \frac{\sqrt{3} }{4} to get the area of the base.

The area of the base is about 62.35 square meters.

The height of the pyramid is 20 meters. Plug that and the area of the base into the equation.

v = 1/3 x 62.35 x 20

Multiply the numbers together to get the volume.

<u>The volume of the pyramid is approximately 415.67 cubic meters.</u>

Hope this helps!

3 0
3 years ago
Is 143 a prime number
tensa zangetsu [6.8K]
143 is composite. To be prime it has to have only 2 divisors i.e it's self and one but since it has 4 divisors ( 143, 1, 11 and 13) it is composite.
5 0
3 years ago
Read 2 more answers
Please help me out!!!
serg [7]

Answer:

x = 76.9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side / adj side

tan 70 = x/28

28 tan 70 = x

x=76.92936

Rounding to the nearest tenth

x = 76.9

8 0
3 years ago
Read 2 more answers
I need help factoring this polynomial please.
Mashcka [7]

You get (2x+3)(4x^2-6x+9) when you factor 8x^3+27=0. You just divide by 3 to simplify it.


3 0
3 years ago
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