Answer:
<h2>height = 110 feet </h2>
Step-by-step explanation:
From the question
Volume of the cylinder is given by
<h3>
</h3>
To find the height first make h the subject
That's divide both sides by πr²
We have
<h3>
</h3>
From the question
v = 35 ft³
r = 7 / 22
π = 22/7
Substitute the values into the above formula and solve for the height
That's
<h3>
</h3>
We have the final answer as
<h3>110 feet</h3>
Hope this helps you
Answer:
x = 37
Step-by-step explanation:
Vertically opposite angles are equal
Therefore, 2x + 6 = 80
Subtract 6 from both sides: 2x = 74
Divide both sides by 2: x = 37
Answer:
sum of the first 12 terms of the sequence. 1, -4, -9, -14, . . = -318
Step-by-step explanation:
The given AP is,
1, -4, -9, -14, . . .
first term a = 1,
common difference d = -4 - 1 = -5
number of terms n = 12
<u>Equation:</u>
Sum of n terms of AP, S₁₂ = n/2[2a + (n - 1)d]
S₁₂ = 12/2[(2*1) + (12 - 1)*(-5)]
S₁₂ = 6[2 + (11*(-5))]
S₁₂ = 6[2 - 55] = 6*(-53) = -318
Therefore sum of the first 12 terms of the sequence. 1, -4, -9, -14, . . = -318
Answer:
Step-by-step explanation:
Let
x ----> the number of minutes
y ----> the total charge in dollars
we know that
For x>700 min
so
For y=48.10
substitute
Multiply by 100 both sides
----> equation without decimals
solve for x
To find out the total minutes we need to sum
The answer is:
Which can be written as: [-8, infinity)
This is the interval from -8 to infinity. So -8 is our left most point on the number line and infinity being our right most. There is no boundary on the right side.
Note how the left side has a square bracket and the right side has a curved parenthesis. This isn't a typo. The square bracket tells the reader "include the endpoint -8 as part of the solution set". The parenthesis tells the reader "do NOT include the endpoint infinity as part of the solution set".
Rule: infinity and negative infinity is always paired with a parenthesis because these aren't numbers. It's impossible to reach infinity, therefore it's impossible to include it in the set of values. If you could include it, then that implies you ran out of numbers.
