Answer:
A, B, D and F.
Step-by-step explanation:
Volume of A = 1/3 pi r^2h = 1/3 pi 3^2 12
= 36pi unit^3.
B also = 36pi.
C = 1/3 pi 6^2 * 6
= 72 pi.
D. = 4 * pi r^2
= 4*9 pi
= 36pi.
E. v = 1/3 * 12pi * 3
= 12pi.
F. = 3 *4 *3pi
= 36pi.
G. V = 1/2 * 3 *4 * 3pi
= 18pi.
You can write three equations in the numbers of nickels (n), dime (d), and quarters (q).
n + d + q = 23 . . . . . . . there are 23 coins total
0n +d -q = 2 . . . . . . . . .there are 2 more dimes than quarters
5n +10d +25q = 250 . .the total value is $2.50
The collection includes 11 nickels, 7 dimes, and 5 quarters.
_____
I used the matrix function of my calculator to solve these equations. You can find q by subtracting from the last equation five times the sum of the first two equations.
(5n +10d +25q) -5((n +d +q) +(d -q)) = (250) -5(23 +2)
25q = 125 . . . . . . . simplify
q = 5
From the second equation,
d = q +2 = 7
And from the first,
n = 23 -5 -7 = 11
8 divided by 15 would come out to be the mixed number u r looking for
Answer:
2(x-6)=5
I believe this is the answer
18. Answer: D
<u>Step-by-step explanation:</u>
First, find the measure of the missing angle.
65° + 57° + x = 180°
122° + x = 180°
x = 58°
Next, match up the angles with the opposite sides:
65° ⇄ Swim
58° ⇄ Bike
57° ⇄ Run
Lastly, put them in order from least to greatest:
57° < 58° < 65°
⇒ Run < Bike < Swim
The only multiple choice option that is correct is Bike > Run.
*****************************************************************************
19. Answer: 22.3°
<u>Step-by-step explanation:</u>
D = 22.3°
