Answer:
A, C, E for the first one; B, C, E for the second one; B and E for the last one
Step-by-step explanation:
Answer: 37 units
Step-by-step explanation:
This also works as the height of the triangle.
This also works as the base of the triangle.
Let's call pink ''a'', and blue ''b''. The side we're looking for ''c'' is the hypothenuse.
To find the values of a and b, use the area formula of a square and solve for a side. In this case, since we're going to need the squared values, this step can be omitted.
![s=\sqrt[]{A}](https://tex.z-dn.net/?f=s%3D%5Csqrt%5B%5D%7BA%7D)
Let's work with Blue.
![s=\sqrt[]{144units^2} \\s=12units](https://tex.z-dn.net/?f=s%3D%5Csqrt%5B%5D%7B144units%5E2%7D%20%5C%5Cs%3D12units)
Now Pink.
![s=\sqrt[]{1225units^2}\\s=35units](https://tex.z-dn.net/?f=s%3D%5Csqrt%5B%5D%7B1225units%5E2%7D%5C%5Cs%3D35units)
So we have a triangle with a base of 35 units and a height of 12 units.
Now let's use the pythagoream's theorem to solve.
![c^2=a^2+b^2\\c=\sqrt[]{a^2+b^2} \\c=\sqrt[]{(12units)^2+(35units)^2}\\c=\sqrt[]{144units^2+1225units^2}\\ c=\sqrt[]{1369units^2}\\ c=37units](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2%5C%5Cc%3D%5Csqrt%5B%5D%7Ba%5E2%2Bb%5E2%7D%20%5C%5Cc%3D%5Csqrt%5B%5D%7B%2812units%29%5E2%2B%2835units%29%5E2%7D%5C%5Cc%3D%5Csqrt%5B%5D%7B144units%5E2%2B1225units%5E2%7D%5C%5C%20c%3D%5Csqrt%5B%5D%7B1369units%5E2%7D%5C%5C%20c%3D37units)
Answer:
4,212 people
Step-by-step explanation:
We are given;
- Dimensions of the football field are 120 yards by 54 yards
- 26 players can fit in a box measuring 5 yards by 8 yards
We are required to determine the number of people that can fit in the football field.
- We are going to get the area of the field first;
Area = length × Width
Area of the field = 120 yards × 54 yards
= 6480 square yards
- Then we get the area of the box
Area of the box = 5 yards × 8 yards
= 40 square yards
- We then determine the number of boxes that can fit in the football field
Number of boxes = Area of the foot ball field ÷ Area of one box
= 6480 sq yards ÷ 40 sq yards
= 162 boxes
But, 26 people can fit in one box
Therefore,
Total number of people that can fit in the field is given by multiplying the number of boxes that can fit in the field by the number of people in a box
That is, Number of people = 26 players × 162 boxes
= 4,212 people
Therefore, the number of people that can fit in the football field is 4,212 people.
Answer:
49
Step-by-step explanation:
7^2=49
B has more because 10/5 is 2 and 8/12 is less
