Answer:
Step-by-step explanation:
t22 = a + (n- 1)d
t22 = 3 + 21*4
t22 = 3 + 84
t22 = 87
Answer:
Yes
Yes
No
Step-by-step explanation:
9-12-15 is just a dilation of a 3-4-5, which is right.
6-8-10 is also a dilation of 3-4-5.
However, 2-4-6 is not a triangle. In fact, it's just a line segment, because 2+4=6
Answer:
-10%
Step-by-step explanation:
price elasticity of demand = % change in demand / % change in price
Here, the "price" changes from 15 to 45, so its percent change is ...
((new value)/(old value) -1) × 100%
= (45/15 -1) × 100%
= 200%
The % change in demand is given as -20%, so the price elasticity is ...
price elasticity of demand = (-20%)/(200%) = -0.10 = -10%
300 divided by 15 is 20 so 20 times 15 is 300
So assuming that each thing is 1.6:3 smaller
radius=1.6r to radius=3r
height=1.6h to height=3h
volume=pi times r^2 times height
1.6 3
pi times (1.6r)^2 times 1.6h to pi times (3r)^2 times 3h
pi times 2.56r^2 times 1.6h to pi times 9r^2 times 3h
pi times 4.096hr^2 to pi times 27hr^2
so the ratio is
pi times 4.096hr^2:pi times 27hr^2
divide both sides by pi
4.096hr^2:27hr^2
divide both sides by hr^2
4.096:27
answer is 4.096/27
