Twenty-four students took a test. Fourteen students earned an A and 10 students earned a B. A student will be randomly chosen.
2 answers:
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Answer:
Ф =
Step-by-step explanation:
It is a bit difficult to input the work here, so I uploaded an image
- First we can use the trig identities to change sec²(Ф) to tan²(Ф) + 1
- Then we can combine like terms
- Then we can factor this as a polynomial function
- Then we can set each term equal to zero and solve for Ф
- The first term tan(Ф) - 2 = 0 has no solution because tan(Ф) ≠ -2 anywhere
- The second term tan(Ф) - 1 = 0 has two solutions of
and
so these are the solutions to the problem
Answer: The volume of the cone is 130 cubic centimeters.
Step-by-step explanation:
We know that to find the volume of a cylinder you will use the formula
V= Where r is the radius and h is the height.
And to find the volume of a cone you will use the formula
V= *h /3
So if they have the same dimensions which is the height and the radius then we will just divide the volume of the cylinder by 3 to find the volume of the cone.
V = 390/3
V = 130 cm^3