Answer:
The natural logarthim of a negative is undefined.
XW must be congruent to YZ, and WZ must be congruent to XY
In order for it to be a parallelogram, the opposite sides must be congruent.
Answer:
24
Step-by-step explanation:
there are 6 seats and 3 boys, 3 girls.
First seat can be given to either boy or a girl.
So there are two ways.
If a boy is selected say, then he has to occupy 3rd and 5th only.
There are 2 ways
Now available positions are 2nd, 4th and 6th, in this girls can be arranged in 3! ways = 6
So total number of ways =

Answer:

Step-by-step explanation:
When you have exponents above a like term and they are being multiplied together, you add them.
For example:

So let's group like terms in the numerator:
We can add terms like in the example.

Let's rearrange the denominator.

Now we have:
Cancel like terms
4/8 = 1/2
= 1 So it cancels
= s Since s is raised to the -1 it goes on top and becomes s.

Now we combine everything back together:

Answer:
45.82 square inches
Step-by-step explanation:
Use the formula for the surface area of a sphere, A = 4
r²
If the diameter is 3.82 inches, the radius is 1.91 inches.
Plug in 3.14 as
and 1.91 as r, and solve:
A = 4
r²
A = 4(3.14)(1.91²)
A = 45.82
So, approximately 45.82 square inches of material are needed.