- you can use the pythagorean theorem for this.
a^2 + b^2 = c^2
12^2 + 16^2 = c^2
144 + 256 = c^2
400 = c^2
- square root this.
c = 20
therefore, x = 20.
so option C.
Answer:
6-hours
D = C + T
Step-by-step explanation:
The following equations represent the total distance travelled by each vehicle, the truck (C) and the Train (T) where x is the amount of time travelling in hours...
C = 45x
T = 60x
Since the truck traveled 2 hours longer than the train we can add this value to the variable x in the truck's distance equation and then make both equations equal one another to calculate the number of hours before they cover the same distance...
45(x+2) = 60x ... distribute 45 evenly
45x + 90 = 60x ... subtract 45x from both sides
90 = 15x ... divide both sides by 15
6 = x
Finally, we can see that both vehicles would have traveled the same distance at the 6-hour mark. Now to calculate the total distance traveled (D) we can use the following equation...
D = C + T
I believe it would just be b=1m or b=m. the reason i added the 1 in front of the m was to show you that the books would equal 1 per month. b and m are equal to each other because the rate is 1 book per 1 month.
Answer:
1. 14476.46
2. 25333.8
3. 19142.66
Step-by-step explanation:
Ok lets take this slow...
First, read the directions; they want you to find how much water the barrles will hold, also meaning how much space is inside the barrel? This can be a hint to find for the area of the barrles.
The formula for a cyliner is: A=2πrh+2πr^2
You already have the information to solve the formula so all you have to do is plug the amounts in, whitch would look like this.
A= 2(3.14) (72) + 2(3.14) (24) ^2
72 * 3.14 24 * 3.14
A= 2 (226.08) + 2(75.36)^2
452.16 + 2 (5679.1296)
452.16 + 11358.2592
A≈ 14476.46
You would do the same for barel B and get: 25333.8
now subtract Barral A by Barral B to find the diffrence
144476.46 - 25333.8
The diffrent of barrle A and B is 19142.66
Step-by-step explanation:
Given line is 6x+3y=15
Slope of the given line (m)=-x/y
=-6/3
=-2
let slope of the line perpendicular to the given line be m'.
Condition of perpendicularity,
m×m'=-1
-2×m'=-1
m'=-1/-2
m'=1/2
