ΔACB and ΔMNB are similar. Therefore the corresponding sides are in proportion:

Substitute:

Answer:
(a) 
(b) 100
Step-by-step explanation:
Solving (a):
Given
Shape: Rectangle

Required
Calculate the perimeter.
Area is calculated as:

Where
and 
Substitute 64.8 for Area

Make L the subject:

Perimeter is calculated as:

Substitute 64.8/W for L


To solve further, we take the derivative of P and set it to 0, afterwards.

Set to 0

Collect Like Terms

Cross Multiply:

Divide through by 2

Take square roots


Recall that:

So:


The perimeter is:



Solving (b):
Given
((1 Group of 10 tenths) and (1 group of 8 tenths))/(6 groups of 3 tenths)
Required
Solve

So, the expression becomes:
((1 Group of
) and (1 group of
))/(6 groups of
)
This gives:
((1 Group of
) and (1 group of
))/(6 groups of
)
Group means product, so the expression becomes:

And, as used here means addition

Simplify:




Answer: uh I think its a carrot, sorry i hope this could maybe help :)
Step-by-step explanation:
Working Principle: Stratified Random Sampling
nx = (Nx/N)*n
where:
nx = sample size for stratum x
Nx = population size for stratum x
N = total population size
n = total sample size
Given:
Nx = 100
N = 1000
n = 0.5*(1000) = 500
Required: Probability of Man to be selected
Solution:
nx = (Nx/N)*n
nx = (100/1000)*500 = 50 men
ny = (Nx/N)*n
ny = (100/1000)*500 = 50 women
Probability of Man to be selected = nx/(nx + ny)*100 = 50/(50+50)*100 = 50%
<em>ANSWER: 50%</em>
Answer:
Larry has at least 9 books
Step-by-step explanation:
just add 6 and 3 to get 9. and since it says at least 3 more, you would know that even after adding them, he would have at least 9.
That was a bad explanation, but I hope you know what I mean, if you dont, just comment on my answer and ask any questions about it :)