Answer:
46.9 times
Step-by-step explanation:
First, we can calculate how many feet it takes to run around the field. To find the perimeter of a rectangle, we can use the formula
2* length + 2 * width. With the length being 450 and the width being 225 here, we can say that
2*450 + 2 * 225 = 1350 feet
Therefore, Andrew runs 1350 feet each time he runs around the field. Next, we need to figure out how much 1350 feet goes into 12 miles as we want to find how many times Andrew runs around the field to get to 12 miles. This can be represented by
12 miles/1350 feet
One thing that we can do here is multiply the fraction by 1 to keep it the same. Because 1 mile = 5280 feet, we can say that
1 mile/5280 feet = 1 = 5280 feet/1 mile. Therefore, it would be safe to multiply
12 miles/1350 feet by 1 = 5280 feet/1 mile. Note that feet is on the bottom in the first fraction (12 miles/1350 feet) and on the top in the second (5280 feet/1 mile) so they will cancel out. Similarly, miles are on top in the first and bottom in the second. We then have
12 miles/1350 feet * 5280 feet/1 mile =63360/1350 ≈ 46.9
Answer:
x = 25
Angle B = 65 degrees
Angle C = 50 degrees
Step-by-step explanation:
All triangles will add up to 180 degrees.
65 + 3x - 10 + 2x = 180
Combine like terms
55 + 5x = 180
Subtract both sides by 55
5x = 125
Divide both sides by 5
x = 25
Plug in the value for x in angle B:
3(25) - 10
75 - 10
65
Do the same for angle C:
2(25)
50
Check your work:
65 + 65 + 50 = 180
180 = 180
Correct
So there are 2 numbers
pretend the smaller number is x, so the larger number must be 2x because it's twice as large
so 2x+x equals 54
simplifies to 3x=54
x= 18
the smaller number is 18 and the larger one is 36 (because 36 is 18 x 2)
80,000,000,000/3.2569 = 24,563,234,978
