Answer:
<em>Assuming person A and person B are part of the 7 people</em>, there are 10 ways the 7 people can line up if A needs to be first or last and B needs to be in the middle.
Step-by-step explanation:
There are 2 places for A (first, last) and 5 places for B (anywhere but first or last). 2 x 5 = 10.
Answer:
DI = 38
Step-by-step explanation:
Δ EHC and Δ DIC are similar and ratios of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
2DI = 76 ( divide both sides by 2 )
DI = 38
The probability of it being greater than one on a six sided die is 5/6 or 5:6
so you are going to use the Pythagorean theorem on the smaller triangle to find the connecting side's length
now you can find the bigger triangle's hypotenuse
c=4
Answer:
2000π in³/s
or 6283.2 in³/s
Step-by-step explanation:
dr/dt = 5
volume of sphere is given as
v = (4/3)(π)r³
differentitate wrt r
dv/dr = 3×4/3 ×π×r²
dv/dr = 4πr²
put r = 10
dv/dr = 4π(10)²
dv/dr = 400π
by chain rule
dv/dt = dv/dr ×dr/dt
dv/dt = 400π× 5
dv/dt = 2000π in³/s
or dv/dt =6283.2 in³/s
