Answer: a = Rectangular, b = 46.4 feet, c = 7 ft or 117 ft above ground level
<u>Step-by-step explanation:</u>
a) Use the rectangular coordinate system (x, y) and set the origin at the center of the ferris wheel.
b) The origin is at 62 feet from the ground. The rider is 100 feet from the ground. So, the y-coordinate of the rider is 100 - 62 = 38. Need to find the x-coordinate.
x² + y² = r²
x² + (38)² = (60)²
x² = 60² - 38²
x = 46.4 feet
c) The x-coordinate is given (24 ft) . Need to find the y-coordinate.
x² + y² = r²
(24)² + y² = (60)²
y = 60² - 24²
y = +/- 55
Convert that to ground level:
62 + 55 = 117 feet above ground level
62 - 55 = 7 feet above ground level
Answer:
73 and 15
Step-by-step explanation:
I made two variables for this:
x = larger number
y = smaller number
Write an equation for "the sum of two number is 88" and you get:
x + y = 88
Write an equation for "four times the smaller number is subtracted from the larger number" and you get:
x - 4y = 13
I do not want an equation with both x and y in it, so I will rewrite the first one and use substitution in the second one:
x + y = 88 -- move the x to the other side
y = 88 - x
x - 4y = 13 -- substitute for y
x - 4(88 - x) = 13 -- multiply by 4
x - 352 + 4x = 13 -- move -352 to the other side, combine x's
5x = 365 -- divide by 5
x = 73
Now that I know x is 73, I go back to my first equation (x + y = 88) and I get:
73 + y = 88 -- subtract 73 from both sides
y = 88 - 73
y = 15
Answer:
x = -1/3
Step-by-step explanation:
I think you mean 25x+5=10x
Your missing value would be 47
