Answer:
radius of the hemisphere = 9 cm approx
Step-by-step explanation:
Volume of hemisphere = ![\frac{2}{3} \pi r^{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%20r%5E%7B3%7D)
1527.4 = ![\frac{2}{3} * \frac{22}{7} * r^{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%2A%20%5Cfrac%7B22%7D%7B7%7D%20%2A%20r%5E%7B3%7D)
= ![r^{3}](https://tex.z-dn.net/?f=r%5E%7B3%7D)
= ![r^{3}](https://tex.z-dn.net/?f=r%5E%7B3%7D)
= 729
r = ![\sqrt[3]{729}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B729%7D)
r = 9 cm approx.
The answer to your question is,
They have a total of $173 altogether!
-Mabel <3
Answer:
$5.25
Step-by-step explanation:
Take $150.00 times 3.5% to get $5.25
150(.035) = 5.25
Answer:
x = 11, -1
Step-by-step explanation:
First, let's identify what the quadratic formula is:
x = [-b ± √(b² - 4(a)(c))] / 2
Our equation is written in standard form:
ax² + bx + c = 0
x² - 10x - 11 = 0
Let's plug in what we know.
x = [-(-10) ± √((-10)² - 4(1)(-11))] / 2
Evaluate the exponent.
x = [-(-10) ± √(100 - 4(1)(-11))] / 2
Simplify the negatives.
x = [10 ± √(100 - 4(1)(-11))] / 2
Multiply.
x = [10 ± √(100 + 44)] / 2
Simplify the parentheses.
x = [10 ± √(144)] / 2
Simplify the radical (√)
x = [10 ± 12] / 2
Evaluate the ±.
x = [10 + 12] / 2
x = [22] / 2
x = 11
or
x = [10 - 12] / 2
x = [-2] / 2
x = -1
Your answers are x = 11, -1
Hope this helps!