Answer:
17.85 cm
Step-by-step explanation:
1) Area of a sphere formula:
2) Plug in A: 1000 = ![4\pi r^{2}](https://tex.z-dn.net/?f=4%5Cpi%20r%5E%7B2%7D)
3) Simplify: 1000 = 12.56![r^{2}](https://tex.z-dn.net/?f=r%5E%7B2%7D)
4) Divide Each Side By 12.56: 79.61783439 = ![r^{2}](https://tex.z-dn.net/?f=r%5E%7B2%7D)
5) Take the Square Root of 79.61783439 to Solve for
: 8.922882628 = ![r](https://tex.z-dn.net/?f=r)
6) Double
to get the diameter: 8.922882628*2= 17.84576486
7) Round to the Nearest Tenth: 17.85 cm
Answer:
=> 2.7 × 10³ × 8 × 10² / 4 × 10^-6
=> 2.7 × 8 × 10^3+2+6 /4
=> 5.4 × 10¹¹
5.4 × 10^11
You can use at most 24 beads that are 10 inches long to decorate the rope.
Step-by-step explanation:
Given,
Length of rope = 120 feet
1 foot = 12 inches
20 foot = 20*12 = 240 inches
Length of bead = 10 inches
Let,
x represents the number of beads used on rope.
As the rope is 240 inches long, therefore, the total length of beads cannot exceed 240 inches.
Length of each bead*Number of beads ≤ length of rope
![10*x\leq 240\\10x\leq 240](https://tex.z-dn.net/?f=10%2Ax%5Cleq%20240%5C%5C10x%5Cleq%20240)
Dividing both sides by 10
![\frac{10x}{10}\leq \frac{240}{10}\\x\leq 24](https://tex.z-dn.net/?f=%5Cfrac%7B10x%7D%7B10%7D%5Cleq%20%5Cfrac%7B240%7D%7B10%7D%5C%5Cx%5Cleq%2024)
You can use at most 24 beads that are 10 inches long to decorate the rope.
Keywords: inequality, division
Learn more about inequalities at:
#LearnwithBrainly
Answer:
18,000 is the maximum and indicates highest profit
Step-by-step explanation:
sorry for leaving that second part out