Answer:
Option (2)
Step-by-step explanation:
Given:
Diameter of the circular base of a cone = 6 feet
Volume of the cone = 176 cubic feet
To Find:
Height of the cone
Solution:
Formula to be used to get the height of the cone,
Volume of cone =
Here, r = Radius of the cone
h = Height of the cone
By substituting the values in the formula,
176 =
176 = 3πh
h =
h =
h = 18.68 feet
Therefore, Option (2) is the correct option.
Answer:
Step-by-step explanation:
Use the rule a÷b/c=a*c/b
Use the rule a/b*c/d=ac/bd
Use the rule a÷b/c=a*c/b
Use the rule a/b*c=ac/b
Simplify three times then you're done.
Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)
- Cutiepatutie ☺❀❤
The simplified polynomial expression is given as follows:
(2x² + x + 6)/[(x + 5)(x - 8)]
The values x = -5 and x = 8 are excluded from the domain.
<h3>How to find the simplified polynomial expression?</h3>When polynomial expressions involve addition or subtraction, we combine the like terms, for multiplication, we apply the distributive property, multiplying all terms, and for division, we apply the last common multiple.
For this problem, the expression is given by:
The factors are given as follows:
x² - 3x - 40, x - 8, x + 5.
The multiplication of the last two is given by:
(x - 8)(x + 5) = x² - 3x - 40.
Hence (x - 8)(x + 5) is the least common factor, and the equivalent expression is found as follows:
The numerator is simplified as follows:
5x² - 25x - 4 + 2(x + 5) - 3x(x - 8) = 5x² - 25x - 4 + 2x + 10 - 3x² + 24x = 2x² + x + 6.
The denominator is the lcm, hence the simplified expression is:
(2x² + x + 6)/[(x + 5)(x - 8)]
The values x = -5 and x = 8 are excluded from the domain, as a fraction cannot have a denominator of 0.
More can be learned about polynomial expressions at brainly.com/question/2833285
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