<span>A. the area of the circular base multiplied by the height of the cylinder B. the circumference of the circular base multiplied by the height of the cylinder C. the sum of the areas of the two circular bases multiplied by the height of the cylinder D.</span>
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Answer:
nπ -π/6 . . . for any integer n
Step-by-step explanation:
tan(x) +√3 = -2tan(x) . . . . . given
3tan(x) = -√3 . . . . . . . . . . . add 2tan(x)-√3
tan(x) = -√3/3 . . . . . . . . . . divide by 3
x = arctan(-√3/3) = -π/6 . . . . use the inverse tangent function to find x
This is the value in the range (-π/2, π/2). The tangent function repeats with period π, so the set of values of x that will satisfy this equation is ...
x = n·π -π/6 . . . . for any integer n
Answer:


Step-by-step explanation:
Given




Required
Determine the number of miles driven on the highway and on the city
Represent the gallons used on highway with h and on city with c.
So, we have:
---- gallons used
and
--- distance travelled
In the first equation, make c the subject

Substitute 10 - h for c in the second equation


Open bracket

Collect like terms


Make h the subject


Substitute 5 for h in 


If on the highway, he travels 31 miles per gallon, then his distance on the highway is:


If in the highway, he travels 26 miles per gallon, then his distance on the highway is:


Answer:
(5,7.5) (12,18) (18,27)
Step-by-step explanation:
It costs $1.50 per cupcake.
y = 1.5x, where x is the amount of cupcakes and y is the amount of money in dollars.
7.5 = 1.5 times 5
18 = 1.5 times 12
27 = 1.5 times 18
Answer: There is no need to round in this case, but 159% of 980 is 1558.2.