In this question, you have to form the equation given the formula of the volume : L x W x D
L = W+5
W = W
D = W-1
(W+5)(W)(W-1) = 20
(W^2+5W)(W-1) = 20
W^3+4W^2-5W-20 = 0
Get the roots by factoring it out.
<span>(w +4) *(w +2.236) *(w -2.236)
</span>
So the roots are: -4, -2.236, 2.236.
Since we're talking about dimensions, let's use the positive root..
L = 7.24
W = 2.24
D = 1.24
Answer:
16 minutes
Step-by-step explanation:
If it takes 63 minutes to paint 9 walls then it means for every wall, it takes 63/9=7 minutes
Since it is 4 people working for 7 mins, the individual rate is 4/7 minutes per person
When we have 7 people, then the number minutes they take will be 7*4/7=4 minutes per wall
4 min per wall for 4 walls then total time will be 4*4=16 minutes
If
is an integer, you can use induction. First show the inequality holds for
. You have
, which is true.
Now assume this holds in general for
, i.e. that
. We want to prove the statement then must hold for
.
Because
, you have
and this must be greater than
for the statement to be true, so we require
for
. Well this is obviously true, because solving the inequality gives
. So you're done.
If you
is any real number, you can use derivatives to show that
increases monotonically and faster than
.
Angle V is 40. Angle V and Y are congruent. The angles of a triangle are a sum of 180. Angle V and Angle Y add up to 80. Therefore angle VWZ is 100
