Answer:
Step-by-step explanation:
The surface area of a cylinder is given as;
where r = radius
h = height
The cylinder has a height of 32 feet and a diameter of 40 feet. This means that the radius is:
40 / 2 = 20 feet
The surface area is therefore:
The surface area of the cylinder is .
Using simpler trigonometric identities, the given identity was proven below.
<h3>
How to solve the trigonometric identity?</h3>
Remember that:
Then the identity can be rewritten as:
Now we can multiply both sides by cos⁴(x) to get:
Now we can use the identity:
sin²(x) + cos²(x) = 1
Thus, the identity was proven.
If you want to learn more about trigonometric identities:
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C: (500 divided by 4)+(30 divided by 4)+2
Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 532 ÷ 4 in expanded notation form is (500 divided by 4)+(30 divided by 4)+2
For Independent Events, P(A) × P(B) = P(A∩B)
so we have, P(A∩B) = 0.4×0.1 = 0.04
P(A') = 1 - 0.4 = 0.6
This information can be represented on a Venn diagram as shown below
P(A'∪B) means the union of everything that is not A with everything that is B
P(A'∪B) = 0.06 + 0.54 + 0.04 = 0.64
Answer:
Not sure if this is correct but I hope this helps :)
