Answer:
10
Step-by-step explanation:
Using Euler's formula for polyhedra
F + V - E = 2
Here V = 16 and E = 24, thus
F + 16 - 24 = 2, that is
F - 8 = 2 ( add 8 to both sides )
F = 10
Answer:
A
Step-by-step explanation:
replace y with 5 giving you 5 = x^2 - 4 then solve giving you x^2 = 9 and then square the 9 giving you x = 3
Answer:
376.991 cm²
Step-by-step explanation:
Surface Area = 2π(5²) + 2π(5)(7)
= 50π + 70π
= 120π
= 376.9911184... ≈ 376.991
<h2>Derive Surface Area of A Cylinder</h2>
If you take a look at a net of a cylinder, you can see it is composed of two circles(bases) and a rectangular strip with the length of the diameter of the circle
The formula for the area of a circle = πr², and since there are 2, it is 2πr²
The formula for circumference of a circle = 2πr, and since we are multiplying that by the height by the height of the cylinder, it is 2πrh
∴ 2πr² + 2πrh
Answer:
0.397
Step-by-step explanation:
In the experiment, if the coin is flipped 4 times, the outcomes in which there is a single heads out of the 4 flips are:
HTTT,THTT,TTHT and TTTH
The probability of flipping a head, P(Head)=0.18
Therefore: The probability of flipping a tail, P(Tail)=1-0.18=0.82
We can then calculate the probability that there is a single heads out of the 4 flips
=P(HTTT)+P(THTT)+P(TTHT)+P(TTTH)
=(0.18 X 0.82 X 0.82 X 0.82) + (0.82 X 0.18 X 0.82 X 0.82) + (0.82 X 0.82 X 0.18 X 0.82 )+ (0.82 X 0.82 X 0.82 X 0.18)