In this question, the volume of the cone is needed. The equation used to determine the volume of the cone is (1/3)π(r²)h
To solve for the volume,
V = (1/3)π(3²)(10)
= (1/3)(9)(10)π
= (3)(10)π
= 30π cm³
The correct answer is the first option which is 30π cm³.
Step-by-step explanation:
Line segment = EG
point on a line segment = F
EG = 100
EF = 4x - 20
FG = 2x + 30
a/q, EF + FG = EG
the equation is
4x - 20 + 2x + 30 = 100
now solution for x is
→ 4x - 20 + 2x + 30 = 100
→ 6x + 10 = 100
→ 6x = 100 - 10 = 90
→ x = 90/6 = 15
therefore, value of x is 15.
and according to given information
EF = 4x - 20 = 4(15) - 20 = 60 - 20 = 40
FG = 2x + 30 = 2(15) + 30 = 30 + 30 = 60
hope this answer helps you dear..take care and may u have a great day ahead!
The answer are B, D and F.
If you solve for x for B, D and F, you'll get (1/2,5)
~54: 1,2,3,6,9,27~
~2,754:1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,
306,459, 918,1377,2754~
~27: 1,3,9,27~
GCF: 27
Your answer would be for the GCF would be 27
Answer:
a
, 
b

c

Step-by-step explanation:
From the question we are are told that
The sample data is 21, 14, 13, 24, 17, 22, 25, 12
The sample size is n = 8
Generally the ample mean is evaluated as



Generally the standard deviation is mathematically evaluated as



considering part b
Given that the confidence level is 90% then the significance level is evaluated as



Next we obtain the critical value of
from the normal distribution table the value is

The margin of error is mathematically represented as

=> 
=> 
The 90% confidence interval is evaluated as

substituting values


considering part c
Given that the confidence level is 95% then the significance level is evaluated as



Next we obtain the critical value of
from the normal distribution table the value is

The margin of error is mathematically represented as

=> 
=> 
The 95% confidence interval is evaluated as

substituting values

