In the diagram below NP is tangent to circle O. NP = 20 and OP = x+4. NO = x. Solve for the value of x, and the length of OP.
1 answer:
We know that
<span>applying the Pythagorean theorem
</span>OP²=NO²+NP²
(x+4)²=x²+20²--------> (x²+8x+16)=x²+400-------------> 8x+16=400
8x=384-----------> x=48 units
OP=x+4-------> OP=48+4--------> OP=52 units
the answer is
x=4 units
OP=52 units
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Answer:
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Step-by-step explanation:
Divide 121 by 1000
Answer:
The volume is 120.11ft^3
Step-by-step explanation:
Given
![r = 1.5ft](https://tex.z-dn.net/?f=r%20%3D%201.5ft)
![l = 17ft](https://tex.z-dn.net/?f=l%20%3D%2017ft)
Required
Determine the volume
This is calculated as:
![V = \pi r^2h](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20r%5E2h)
h, in this case represents the length;
So, we have:
![V = 3.14 * 1.5^2 * 17](https://tex.z-dn.net/?f=V%20%3D%203.14%20%2A%201.5%5E2%20%2A%2017)
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