Volume of the pipe = πr^2l
Wrong measure = π x (2)^2 x l = 4πl
Correct measure = π x (2 - 2(1/8))^2 x l = 49/16πl
error = 4πl - 49/16πl = 15/16πl
% error = ((15/16πl) / 49/16πl) x 100% = 30.6%
Answer:
No, it is not tangent
Step-by-step explanation:
XY can only be tangent to the circle if it forms a right angle to the diameter. To test this, you need to figure out whether the three parts of the triangle make a Pythagorean triple. 8.5×2=17, and 17^2+5^2 is 314, which is not equal to 20 squared. Therefore, it is not tangent. Hope this helps!
Answer:
n = 15
Step-by-step explanation:
For inputs of the value of n, the running time for the algorithm A is 100n^2 and that of B is 2^n.
If A is to run faster than B, 100n^2 must be smaller than 2^n.
Let's check from n = 1 to know the value of n that fits
n = 1
100(1)^2 > 2^1
100 > 2
n = 2
100(2)^2 > 2^2
400 > 4
n = 4
100(4)^2 > 2^4
1600 > 16
n = 8
100(8)^2 > 2^8
6400 > 2^8
n = 16
100(16)^2 < 2^16
25600 < 2^16
This implies that between n = 8 and 16, A starts to run faster than B
n = (8+16)/2 = 12
100(12)^2 > 2^12
14400 > 2^12
n = (12+16)/2 = 14
100(14)^2 > 2^14
19600 > 2^14
n = (14+16)/2
n = 15
100(15)^2 < 2^15
22500 < 2^15
At n= 15, A starts running faster than B
Answer:
12.5
10
Step-by-step explanation:
10(1/2+3/4)
5+7.5
12.5
10(1/2)+(8(3/4)-1)
5+(6-1)
5+5
10
Answer:
the answer is d or the number 5
Step-by-step explanation:
