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zavuch27 [327]
3 years ago
11

Which of the following shows 27/54 written in Prime factored form to help in reducing the fraction to simplest form?

Mathematics
1 answer:
hammer [34]3 years ago
5 0
Because both numbers are divisible by 27, you can divide by nine to get \frac{1}{2}.
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What is the equation of the circle whose diameter has endpoints (8,-2) and (-2,6)?
klemol [59]

Answer:

(x-3)^{2} +(y-2)^{2}=41

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(8,-2)\\E(-2,6)  

substitute the values

d=\sqrt{(6+2)^{2}+(-2-8)^{2}}

d=\sqrt{(8)^{2}+(-10)^{2}}

d=\sqrt{164}\ units

d=2\sqrt{41}\ units

step 2

Find the center of the circle

The center is the midpoint of the diameter

The center is equal to

C=(\frac{8-2}{2},\frac{-2+6}{2})

C=(3,2)

step 3

Find the equation of the circle

The equation of the circle in center radius form is equal to

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

we have

(h,k)=(3,2)

r=2\sqrt{41}/2=\sqrt{41}\ units ---> the radius is half the diameter

substitute

(x-3)^{2} +(y-2)^{2}=(\sqrt{41})^{2}

(x-3)^{2} +(y-2)^{2}=41

4 0
3 years ago
How to convert 43 cm into a fraction?<br><br> .
Alex787 [66]
Since a cm is 1/100th of a meter, 43 cm would simply be 43/100. Hope that helps!
5 0
3 years ago
A geologist visits 40 volcanoes in Alaska and California. 15% of the volcanoes are in California.
kotegsom [21]

Answer:

<h2>Most explained:</h2>

40% = 100%

15 = (100% - 15% = 85%) 85% in Alaska

California = 15% of 40 = (0.15 x 40) = 6

Alaska = 85% of 40 = (0.85 x 40) = 34

<h2>The simple way (or the way i found it simple):</h2>

<h3>40 - 15 = 34</h3><h3>15% of 40 = 6</h3>

<h3>(I found the simple way after i solve the first way)</h3>

Bye, i hope this helps.

<h3 />

3 0
2 years ago
Johnny says that rolling a number cube twice and getting a 6 both times is an example of dependent events because getting a 6 on
hjlf

Answer:

This is not correct

Step-by-step explanation:

He could have rolled a 6 on the second roll without rolling a 6 on the first roll, the first roll had ZERO effect on the second one to be able to change what he would roll

8 0
2 years ago
Read 2 more answers
Help me I'm giving 20 points <br><br>a²•b⁶ if a =½ and b=2 ?​
exis [7]

Answer:

try 0.5

Step-by-step explanation:

7 0
2 years ago
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