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Ratling [72]
3 years ago
11

An equilateral triangle of side 14 centimeters is revolved about an altitude to form a cone. What is the number of cubic centime

ters in the volume of the cone?
Mathematics
1 answer:
Naddika [18.5K]3 years ago
4 0

First find the height of the triangle using the Pythagorean theorem:

Height = √(14^2 - 7^2)

Height = √(196 - 49)

Height = √147

Height = 7 √3

Now find the volume of the cone:

Volume = PI x r^2 x H/3

Volume = 3.14 x 7^2 x 7√3/3

Volume = 621.8177 cubic cm's.

Round the answer as needed.

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11 x minus 3 y = negative 17. Negative 4 x + 3 y = negative 18. Negative 7 x = negative 35 Negative 7 x = 35 7 x = negative 35 7
posledela

Answer:

7 x = -35

Step-by-step explanation:

Which equation results from adding the equations in this system? 11 x minus 3 y = -17. Negative 4 x + 3 y = - 18.

- 7 x = negative 35

- 7 x = 35

7 x = negative 35

7 x = 35

In this problem we need to add the equations below i.e.

11x-3y = -17 and -4x+3y=-18

Adding both equations,

11x-3y+(-4x)+3y = -17+(-18)

7x= -35

or

7 x = negative 35

Hence, the correct option is (c).

5 0
3 years ago
X2 - x - 42 <br>a=? <br>b=? <br>C=? <br><br><br><br>help me ​
lisabon 2012 [21]

Step-by-step explanation:

thr standard form for a quadratic equation is:

ax²+bx+c

in this example, a=1, b=(-1), c=(-42)

6 0
2 years ago
Twice the sum of a number and 77 is equal to three times the difference of the number and 6.  Find the number
tino4ka555 [31]

x + 77 = 3(x - 6)

x + 77 = 3x - 18

x + 77 + 18 = 3x - 18 + 18

x + 95 = 3x

x + 95 - x = 3x - x

95 = 2x

x = 95/2

x = 47.5

3 0
3 years ago
Please help I really need an answer fast!!!
LiRa [457]
The answer is 8. 

first of all you need to find the missing length on the adult version. 
so the work would be:
-add up all the known sides of adult so
(56+56+35)=147

-then take the total perimeter and subtract so
 167-147=20

-then you need to compare the two known sides of both the adult and kids version. so that would be the bottom line EM.
They are 35 and 14 so divide
35/14=2.5

Now you know the dilation so you can figure out the missing side GA on the childs by taking the missing side from the adult dividing by the dilation 2.5 to get the answer so
20/2.5= 8 

the answer is 8. 

I got this correct on the quiz. 

3 0
4 years ago
WHO CAN HELP ME !!!!!!! PLEASE FINNA CRY RN​
Taya2010 [7]

Answer:

In the other polygon which is smaller you just half the size of the larger one like 12 became 5 and 6 became 3 so 14 will also be halved and the answer will be

7

4 0
3 years ago
Read 2 more answers
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