Answer:
• terminating decimals
• repeating decimals
Step-by-step explanation:
→ Terminating decimals are decimals which have finite decimals with unidentical decimal values e.g: 0.17, 0.1388
→ repeating fractions are recurring fractions. They have identical decimal values following after each other. e.g: 0.222…, 0.1212…
![.](https://tex.z-dn.net/?f=.)
Answer:
Time taken by Franklin to shovel alone is 65.5 minutes.
Step-by-step explanation:
Let the time taken by Franklin to shovel alone = x minutes.
Since, the time taken by Angela to shovel = 180 minutes and the time taken by both = 48 minutes.
Then, we have,
Amount of shoveling done in 1 minute by Angela = ![\frac{1}{180}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B180%7D)
Amount of shoveling done in 1 minute by both = ![\frac{1}{48}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B48%7D)
Amount of shoveling done in 1 minute by Franklin= ![\frac{1}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D)
So, we have,
![\frac{1}{180}+\frac{1}{x}=\frac{1}{48}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B180%7D%2B%5Cfrac%7B1%7D%7Bx%7D%3D%5Cfrac%7B1%7D%7B48%7D)
i.e. ![\frac{x+180}{180x}=\frac{1}{48}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B180%7D%7B180x%7D%3D%5Cfrac%7B1%7D%7B48%7D)
i.e. ![48(x+180)=180x](https://tex.z-dn.net/?f=48%28x%2B180%29%3D180x)
i.e. ![48x+8640=180x](https://tex.z-dn.net/?f=48x%2B8640%3D180x)
i.e. ![132x=8640](https://tex.z-dn.net/?f=132x%3D8640)
i.e. x= 65.5 minutes
Thus, the time taken by Franklin to shovel alone is 65.5 minutes.
Answer:
x = π/2, 7π/6, or 11π/6
Step-by-step explanation:
sin² x − cos² x − sin x = 0
Use Pythagorean identity to write cosine in terms of sine.
sin² x − (1 − sin² x) − sin x = 0
sin² x − 1 + sin² x − sin x = 0
2 sin² x − sin x − 1 = 0
Factor:
(2 sin x + 1) (sin x − 1) = 0
Solve:
sin x = -1/2 or 1
x = π/2, 7π/6, or 11π/6
Firstly, calculate for the radius from the given circumference. The equation for circumference (C) is,
C = 2πr ; r = C/2π
Substituting the given circumference,
r = 50ft/2π = 25/π ft
The area for the solving the surface area of a sphere is calculated through the equation,
SA = 4πr² = 4π(25/π)² = 795.77 ft²
Therefore, the surface area is approximately 795.77 ft².
Answer:
D.
lumber
the correct answer is choice D