Answer:
Step-by-step explanation:
The formula of a volume of a sphere:
We have
Substitute:
<em>divide both sides by π</em>
<em>multiply both sides by 3</em>
<em>divide both sides by 4</em>
![R^3=\dfrac{1}{2}:4\\\\R^3=\dfrac{1}{2}\cdot\dfrac{1}{4}\\\\R^3=\dfrac{1}{8}\to R=\sqrt[3]{\dfrac{1}{8}}\\\\R=\dfrac{\sqrt1}{\sqrt8}\\\\R=\dfrac{1}{2}](https://tex.z-dn.net/?f=R%5E3%3D%5Cdfrac%7B1%7D%7B2%7D%3A4%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%5Cdfrac%7B1%7D%7B4%7D%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B1%7D%7B8%7D%5Cto%20R%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B1%7D%7B8%7D%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B%5Csqrt1%7D%7B%5Csqrt8%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B1%7D%7B2%7D)
Answer:
7.5 weeks
Step-by-step explanation:
If you want to find out how long it take for the plant to reach a foot you set up the equation like so:
12=1.2w+3
and solve from there.
12=1.2w+3 Subrtact 3 from both sides
9=1.2w Divide by 1.2 to isolate w
7.5=w Answer is 7.5 weeks
Answer:
AB Corresponds to side DE (Make sure to keep them in that order); The statement ∠A~∠D is correct.
Let me know if you need further explanation.
Answer:
4200 with 35% markdown: 2730
5000 with 44% markdown: 2800
Step-by-step explanation:
To calculate the price of an item including the markdown, multiply the original price by (1 minus markdown).
Convert the markdown percentage to decimal form before subtracting.
4200 with a 35% markdown: (35% = 0.35)
4200*(1 - 0.35)
= 4200 *(0.65)
= 2730
5000 with a 44% markdown: (44% = 0.44)
5000*(1 - 0.44)
= 5000*(0.56)
= 2800
Therefore, the sale price for $4200 with a 35% markdown is $2730, and the sale price for $5000 with a 44% markdown is $2800.
