Answer:
I attached a picture of the completed picture below.
The values given to you in the picture are shown in pink
Use those values to fill in the rest, which are shown in blue.
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:
The Probability is 63.7%
Step-by-step explanation:
We need to calculate the area of the circle and the area of the square
From the question, we can see that the square is of side 4 √2 cm
The area of the square is simply the square of its side length
We have this as 4√2 * 4√2 = 16 * 2 = 32 cm^2
The area of the circle can be calculated using the formula for the area of a circle, with the radius being 4 cm
So, we have the area of the circle as;
Pi * r^2
= 22/7 * 4 * 4 = 50.3 cm^2
so, to find the probability, we need to divide the area of the circle by the area of the square
we have this as;
32/50.3 = 0.6366
In percentage, we simply multiply by 100% to give
0.6366 * 100% = 63.66%
To the nearest tenth, this is 63.7%
Answer:$8
Step-by-step explanation: there is 4 girls and $24 they split it equally so you would do 24/4 and that gives you 6. Then it says Mrs. Day gave each girl $2 so then you add 6+2 and then you get 8.
Answer:
160 in ^2
Step-by-step explanation:
First we need to find the area of each shape and add them together
1. Triangles:
The formula for a triangle is (base x height)/2, so we can replace them as (5 * 4)/2 * 2( Because there are two triangles), so therefore the two triangles will add up to 20 inches
2. The Rectangles
<u>The Big Rectangle:</u>
The big rectangle is just <em>l x w </em> or 5 * 20 which is 100
<u>The small rectangle:</u>
To find the width of the small rectangle you have to do 20 - (5 + 5) because we are not including the triangles. 20 - (5 + 5) = 10, so that would be 10 * 4 = 40.
3.Add them together
20 + 100 + 40 = 160 inches ^2
Hope this helps!!!