Answer:
1. 3
2. f(3) = (3)^3 - 3(3)^2 +2(3)-6; f(3) = 0
3. (x^2+2)(x-3)
4.) 3, iradical(2), -iradical(2)
5.) (x-3)(x^2+2)
Step-by-step explanation:
I'm not very sure about number 5.
First lets convert the diameter to cm,
2.4 m equals 240 cm, that is by multiplying 2.4 times 100 because 1 meter has 100 cm
then we need to know how to calculate the circumference, and that is by multiplying pi (3.14) times the diameter of the circumference, that is:
circumference = pi*diameter = 3.14*240
circumference = 753.6 cm
that is the solution
Answer:
See below in bold.
Its the second choice.
Step-by-step explanation:
The sides b and d are the legs of a 30-60-90 triangle so the sides are in the ratio 2 : 1 :√3 where 2 = the hypotenuse.
Here the hypotenuse = 10. Therefore:
10 = 2*5, so d = 1/2 * 10 and b = √3*5.
d = 5 , b = 5√3.
Now a , b and c are also the sides of a 30-60-90 triangle and we know that b = 5√3.
So a ( the hypotenuse = 2 * 5√3 = 10√3.
and c ( the longest leg) = 5√3 * √3 = 15.
Answer: The equation to find the number of minutes Alex played on Monday is x+(x+20) = 110 minutes
Step-by-step explanation:
let the time played by Alex on Monday be represented as x
and the time played by Alex on Tuesday be represented as x+20
Such that the expression to find out the minutes Alex played on Monday given that the total time spent on both days = 110 minutes
Monday +Tuesday = 110 minutes
x+(x+20) = 110 minutes
Solving
x+(x+20) = 110 minutes
2x+20= 110 minutes
2x = 110-20
2x =90
x=90/2=45
x= Amount of time played on Monday =45minutes
x+20 Amount of time played on Tuesday =45 +20= 65 minutes