Answer:
B) 75π cm³
Step-by-step explanation:
The volume of a cone is given by the formula ...
V = (1/3)πr²h
Your cone has r = 5 cm and h = 9 cm. Putting these values into the formula gives ...
V = (1/3)π(5 cm)²(9 cm) = 75π cm³
Answer:
(x/3) - 5
Step-by-step explanation:
Five less than quotient of x and three
In this diagram we see that 80 and 3x+4y are both vertical angles and vertical angles are congruent or always equal so we can set those two equations equal to each other then we can see that a line splits two angles making them supplementary (they equal 180 degrees) So we can have another equation, the two equations are:
3x+4y=80 and 3x+4y+7x-8y=180 (add like terms to simplify and get 10x-4y=180
Then use elimination to get rid of the y variables
10x-4y=180 (plus)
+3x+4y=80 (the negative 4 and positive 4 cancels each other out so you are left with:)
13x=160 (divide by x)
x=12.30769 which can be rounded to x=12.31
Then we have to plug in x into the first equation:
3(12.31) + 4y = 80
36.93 + 4y = 80 (subtract 36.93 from 80)
4y = 43.07 (divide)
y=10.7675 or rounded to 10.77
so x=12.31 and y=10.77
Answer:
Permutation
504 ways
Step-by-step explanation:
The difference between combinations and permutations is ordering. With permutations we DO care about the order of the elements, whereas with combinations we don't.
In your graphing calculator, type
nPr(9,3)
(9 letters in trapezoid, 3 letter combos)
and it returns 504.
Parallel - same slope so the line with parallel to it has a slope of 6
Perpendicular - opposite negative reciprocal so the perpendicular line should have a slope of 6 too or -6.
