Set up a proportion:
First convert 75 inches to feet.
75 in = 6.25 ft
1/6.25 = x/50
Multiply 50 to both sides:
50 * 1/6.25 = x
50/6.25 = x
x = 8
So the tire will rotate 8 times after Frank rides 50 feet.
Answer:
39 yd^2
Step-by-step explanation:
First, we must divide the shape into quadrilaterals. The best, and easiest, way to do this is to cut along the line in the middle, below the lower 2 yd mark. This will give us a 1 yard by 3 yard rectangle, 4 yard by 8 yard rectangle, and 2 yard by 2 yard square. The next thing to do is to find the area of each location of the backyard using the A = l x w equation. 1 x 3 = 3, 2 x 2 = 4, 4 x 8 = 32. The final step is to add these individual areas, giving us 39 square yards.
Answer:
x = 182.53
Step-by-step explanation:
Use trigonometric ratios to find the whole side length (a) adjacent to 20° and the side length (b) adjacent to 57° respectively. Then find the difference. That would give you the value of x. That is: a - b = x
Let's solve.
✍️Finding the whole side length adjacent to 20°:
Opp = 87
Adjacent length = ? = a
Thus,
Plug in the values
Multiply both sides by a
Divide both sides by tan(20)
Finding the side length adjacent to 57°:
Opp = 87
Adjacent length = ? = b
Thus,
Plug in the values
Multiply both sides by b
Divide both sides by tan(57)
Therefore:
x = a - b
x = 239.03 - 56.50
x = 182.53
OP = 4 because its a radius of the smaller circle which has a radius of 4 and all radii of the same circle are the same length.
C) 4
