Answer:
3311.36ft^3
Step-by-step explanation:
Given data
Height h= 11.9ft
Radius=16.3ft
The expression for the volume of a cone is given as
Volume= 1/3πr^2h
substitute
Volume=1/3*3.142*16.3^2*11.9
Volume= 1/3*3.142*265.69*11.9
Volume= 1/3*9934.095962
Volume=3311.36ft^3
Hence the volume is 3311.36ft^3
Collecting pennies can either be a dependent or an independent events based on the scenario.
<h3>How to illustrate the information?</h3>
Events classified as independent do not depend on other events for their occurrence. For instance, if we toss a coin in the air and it lands on head, we can toss it again and this time it will land on tail.
A coin toss is an illustration of an autonomous occurrence. With each toss of the coin, there is an equal probability (0.5) of either heads or tails occurring, presuming that the coin is fair and can only land on heads or tails. It doesn't matter if the coin came up heads on the prior toss.
In conclusion, collecting pennies can either be a dependent or an independent events based on the scenario.
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Try finding what x is first from the second equation. Then plug in the answer
Answer:
x ≥ 6 or x ≤ -2
Step-by-step explanation:
- I x - 2 I + 4 ≤ 0
- I x - 2 I ≤ -4
I x - 2 I ≥ 4
x - 2 ≥ 4 or x - 2 ≤ -4
x ≥ 6 or x ≤ -2
Answer:
See solutions below
Step-by-step explanation:
From the given diagram;
AC = opposite
AB = 7 = hypotenuse
Angle of elevation = 70 degrees
Using SOH CAH TOA
Sin theta = opp/hyp
Sin theta = AC/AB
Sin 70 = AC/7
AC = 7sin70
AC = 7(0.9397)
AC = 6.58
Similarly
tan 70 = AC/BC
tan 70 = 6.58/BC
BC = 6.58/tan70
BC = 6.58/2.7475
BC = 2.39
tan m<A = BC/AC
tanm<A = 2.39/6.58
tan m<A = 0.3632
m<A = 19.96degrees
