The radius of the cylinder should be approximately 2.040 inches long.
<h3>How to calculate the radius of a rocket to contain a required quantity of powder</h3>
The volume required to store the powder is the sum of the volumes of the cylinder and the cone, whose expression is in this case:
204 in³ = (π/3) · r² · (4 in) + π · r² · h
204 in³ = (4/3 + h) · π · r²
204 in³ = (4/3 + 7 · r) · π · r²
204 = (4π/3) · r² + 7π · r³
7π · r³ + (4π/3) · r² - 204 = 0
The <em>positive</em> roots of the <em>cubic</em> equation are:
r ≈ 2.040 in
The radius of the cylinder should be approximately 2.040 inches long.
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Answer: -7
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation
Answer:
A = 5
B = 9
Step-by-step explanation:
This was very simple!
Nancy needs at least 15 boxes of travoprost but she only has 10. To find out how many she needs, we subtract 15 from 10 to get 5 boxes
Nancy also needs at least 12 boxes of latanoprost but she only has 3. To find out how many she needs, we subtract 12 from 3 to get 9 boxes
Therefore A = 5 boxes; B = 9 boxes
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Answer:
y = (75x + 500)
Step-by-step explanation:
To find the linear model,
Let y = monthly balance of the savings
x = months of the savings
With savings account with $500 which is fixed
deposits = $75
Then the model is
y = (75x + 500)
Answer:
Step-by-step explanation:
<u>Given</u>
<u>Conjugate of z is:</u>
<u>Product zz' is:</u>
- zz' = (-3 + 5i)(-3 - 5i) = (-3)² - (5i)² = 9 - 25(-1) = 9 + 25 = 34
