Answer: ~54.54 units squared, or 25*pi - 24
Step-by-step explanation:
To find this, we need to find both the area of the triangle and circle, and then subtract the area of the triangle from the area of the circle.
Area of triangle: 
Area of circle: 
To find the radius, we first need to find the hypotenuse of the triangle, which happens to be the diameter of the circle.
Pythagorean Theorem: 
, where a and b are sides and c is the hypotenuse.
6^2 + 8^2 = c^2
36 + 64 = 100, c = 10
Knowing that the diameter is 10, we also know that the radius is 5.
Area of the circle with a radius of 5 is 25*pi, or 78.54~
Area of the triangle with side lengths of 6 and 8 is 24.
78.54 - 24 = 54.54 units squared.
Answer:
The probability that she chooses a nuumber less than 4 is 30%
Step-by-step explanation:
First of all, assuming that the "ground level" is 0;
The lift is not starting from 0, so we also need to account for the extra 15 meters above the ground the lift is.
The total distance the lift would cover in the downward direction: 15+350=365m
Now, you know that the lift covers 5 m/min
Therefore, 5x=365 (ignoring units because they can complicate things)
x=365/5
x=73 minutes
Therefore, they would take 73 minutes to reach 350 m deep into the ground with a starting position 15 m above the ground.
Hope I helped :)
Answer:
I haven't done these in 2 years and I'm not sure if I remember things correctly but here's what I would put down.
5) No, it is not because the sizes of each section are not even.
6) Yes, this is fair since there are a even chance of getting each number.
7) 3 out of 25 or 3/25
8) The bag with 250 colored tiles would give him a less chance of picking a blue tile. In the first bag, there is a 40% chance that Greg would pick a blue tile while the second bag, he would have a 30% chance of picking a blue tile. To get these percentages, I divided the the amount of blue tiles in the bag by the total amount of tiles.
Explantion for question 8: 10 blue tiles in a bag of 25 so you would do 10/25 which is .4 and as a percentage it would be 40%. For the second question, 75 blue tiles out of 250 total so 75/250 and that would be .3 and as a percentage, it would be 30%. The "/" is a fraction bar and is sometimes used as a division symbol as well, just in case you don't know:)
Step-by-step explanation:
