Step-by-step explanation:
You need to find the total number of students the pie chart will represent:
17 + 35 + 38 = 90
So you know, 360° represents 90 people
You can then find out the angle for each person: 360 ÷ 90 = 4
Each person is 4°
a)
1. 17 people took French so you would do 4° × 17 = 68°
2. 35 people took German so you would do 4° × 35 = 140°
3. 38 people took Italian so you would do 4° × 38 = 152°
b)
17 out of 90 people chose french so the probability would be 17/90
(-1.2,-2.0) and (1.9,2.2) are the best approximations of the solutions to this system.
Option B
<u>Step-by-step explanation:</u>
Here, we have a graph of two functions from which we need to find the approximate value of common solutions. Let's find this:
First look at where we have intersection points, In first quadrant & in third quadrant.
<u>At first quadrant:</u>
Draw perpendicular lines from x-axis & y-axis from this point . After doing this we can clearly see that the perpendicular lines cut x-axis at x=1.9 and y-axis at y=2.2. So, one point is (1.9,2.2)
<u>At Third quadrant:</u>
Draw perpendicular lines from x-axis & y-axis from this point. After doing this we can clearly see that the perpendicular lines cut x-axis at x=-1.2 and y-axis at y= -2.0. So, other point is (-1.2,-2.0).
Answer:
Approximately 10.2 inches
Step-by-step explanation:
The area of a square is given by the formula:

Where A is the area and s is the side length.
Since we already know that the area A is 105, substitute:

Now, take the square root of both sides:

Use a calculator:

So, the side length is approximately 10.2 inches.
The area of a regular octagon is given by:
A = (4) * (L) * (ap)
Where,
L: side
ap: apotema
Substituting values we have:
A = (4) * (19) * (16)
A = 1216 square inches
Answer:
The area of a regular octagon with an apothem 16 inches long and a side 19 inches long is:
A = 1216 square inches
You can make 24 packages of coookies.
192 ounces are in 12 pounds.
Take 192/8 to get 24.