Answer:
The answer is below
Step-by-step explanation:
N is inversely proportional to t, therefore:
N ∝ 1/t
Let k be the constant of proportionality, hence we can replace the relationship by:
N = k/t
Given that when t is 36, N is 176. Therefore we can find the value of k:
176 = k / 36
k = 176 * 36 = 6336
N = 6336/t
Also let us find N when t = 6. This is done by substituting t = 6 into the equation and simplifying:
N = 6336/6
N = 1056
The lateral area of a cylinder is given by:
Area=πrl+2πr^2
radius,r=12 mm
length,l=5*12=60mm
therefore the lateral area will be:
Area=π*12*60
Area=2,261.95 mm^2
The area of the bases will be:
A=2*π*12^2=904.78 mm^s
The lateral area will be:
2,261.95+904.78
=3,166.73
=3167 mm^2
Answer:
Solution in photo
Step-by-step explanation:
B if you need an explanation just comment
Answer: 81%
Step-by-step explanation:
From the question, we are informed that a student received the following test scores: 71%, 89%, 72%,
84% and 83% in 5 tests and the student wants to maintain an average of 80%.
The lowest score/grade they can receive on the next test to maintain at least an 80% average first thus:
First, to make it easy we can remove the percent sign. Then we multiply 80 by 6 since we're calculating for 6 tests scores. This will be:
= 80 × 6
= 480
We then add all the 5 test scores. This will be:
= 71 + 89 + 72 + 84 + 83
= 399
We then subtract the values gotten. This will be:
= 480 - 399
= 81
This means the student must get at least 81%
