Answer:
A kite with a 100 foot-long string is caught in a tree. When the full length of the string is stretched in a straight line to the ground, it touches the ground a distance of 30 feet from the bottom of the tree. Find the measure of the angle between the kite string and the ground.
17°
27°
63°
73°
Step-by-step explanation:
Answer:
The answer to your question is:
(x - 5)² + (y + 4)² = 10² or (x - 5)² + (y + 4)² = 100
Step-by-step explanation:
Data
Center (5, - 4)
Point ( -3 , 2)
Formula
d = √ ((x2- x1)² + (y2 - y1)²)
(x - h)² + (y - k)² = r²
Process
Radius
d = √ ((-3 - 5)² + (2 + 4)²)
d = √ ((-8)² + (6)²)
d = √ 64 + 36
d = √100
d = 10 units
Circle
(x - 5)² + (y + 4)² = 10²
(x - 5)² + (y + 4)² = 100
N = nickels and q = quarters
0.05n + 0.25q = 1.90
n = 2q + 3
0.05(2q + 3) + 0.25q = 1.90
0.10q + 0.15 + 0.25q = 1.90
0.10q + 0.25q = 1.90 - 0.15
0.35q = 1.75
q = 1.75/0.35
q = 5 ......there are 5 quarters
n = 2q + 3
n = 2(5) + 3
n = 10 + 3
n = 13 <=== there are 13 nickels
the slope is -2
have a nice day :D
Amy: x skirts
Betty: 2x skirts
Carol: (2x) + 7 skirts
If Amy has 18 less than Carol, than Carol's equation minus 18 equals Amy's equation:
[(2x) + 7] - 18 = x
+18 +18
(2x) + 7 = x + 18
- 7 -7
2x = x + 11
-x -x
x = 11
Input the solution for x into the girls equation to double check.
Amy: 11
Betty: 2(x)
2(11)
=22
Carol: (2x) + 7
22 + 7
=29
Does Amy have 18 less than Carol?
Carol - Amy = 18
29 - 11 = 18
18 = 18
the problem is solved
