X equals 1000/37(27.027) I recommend you use photomath on the AppStore for easier answers
9514 1404 393
Answer:
34.6 ft
Step-by-step explanation:
The distance can be found using the Pythagorean theorem. Where a, b, c are the sides of a right triangle with c as the hypotenuse, it tells you ...
a² + b² = c²
a = √(c² -b²)
base-to-string = √(39² -18²) = √1197 ≈ 34.598
The distance from the base of the pole to the end of the string is about 34.6 feet.
Answer:
Quarters = q = 200
Dimes = d = 756
Step-by-step explanation:
Let
Dimes = d
Quarter = q
Value of each Dime = 0.10
Value of each Quarter = 0.25
d + q = 956 (1)
0.1d + 0.25q = $125.60 (2)
From (1)
d = 956 - q
Substitute d = 956 - q into (2)
0.1d + 0.25q = $125.60
0.1(956 - q) + 0.25q = $125.60
95.6 - 0.1q + 0.25q = $125.60
- 0.1q + 0.25q = 125.60 - 95.6
0.15q = 30
Divide both sides by 0.15
q = 30 / 0.15
= 200
q = 200
Substitute q = 200 into (1)
d + q = 956
d + 200 = 956
d = 956 - 200
= 756
d = 756
Therefore,
Quarters = q = 200
Dimes = d = 756
49c^2 - 25d^6
(7c)^2 - (5d^3)^2
(7c + 5d^3)(7c - 5d^3)
The answer is: (7c + 5d^3)(7c - 5d^3).
