<h3>Given:</h3><h3>Large cone:</h3>
<h3>Small cone:</h3>
<h3>Note that:</h3>
<h3>To find:</h3>
- The volume of the frustum of the given cone.
<h3>Solution:</h3>
- Frustum is a part of a cone formed by cutting off the top by a parallel plane.
Let's solve!
First, let's find the volume of the smaller cone.
Substitute the values according to the
formula.
Now, we can round off to the nearest hundredth.
The value in the thousandths place is smaller than 5 so we won't have to round up.
Next, let's find the volume of the bigger cone.
Substitute the values according to the formula.
Now, we can round off to the nearest hundredth.
The value in thousandths place is smaller than 5 so we won't have to round up.
Now, we can find the volume of the frustum.
We'll have to minus the volume of the smaller cone from the bigger cone.
<u>Hence, the volume of the frustum is 1172.86 cubic centimeters.</u>
The set of all numbers less than or equal to -8 or greater than or equal to 2 is -8 ≥ x ≥ 2. The set is {x∈R|-8 ≥ x ≥ 2}
<h3>The set of numbers</h3>
From the question, we are to write the set of numbers l<u>ess than or equal</u> to -8 or<u> greater than or equal</u> to 2
Let x represent the set of the numbers
If a number is less than or equal to -8
Then,
-8 is greater than or equal to the number
That is,
-8 ≥ x
If a number is greater than or equal to 2
Then,
x ≥ 2
Thus, the set of all the numbers is
-8 ≥ x ≥ 2
Hence, the set of all numbers less than or equal to -8 or greater than or equal to 2 is -8 ≥ x ≥ 2. The set is {x∈R|-8 ≥ x ≥ 2}
Learn more on Set of numbers here: brainly.com/question/18667553
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The price of the stereo on sale
is
275 - ( 275x15% ) =
233.75
the comission is 233.75 x 2 % =
233.75 x 2/100 = 4.675
Answer:
y=6/5x-8
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through (5, -2) and has the slope of 6/5
We can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.
Since we are already given the slope of the line, we can immediately plug it into the equation:
y=6/5x+b
Now we need to find b
Since the equation passes through the point (5, -2), we can use it to solve for b
Substitute 5 as x and -2 as y:
-2=6/5(5)+b
Multiply
-2=6+b
Subtract 6 from both sides
-8=b
Substitute -8 as b.
y=6/5x-8
Hope this helps!
Answer:
slope = 6
y-intercept = -5
Step-by-step explanation:
The equation is in slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept
Let's find the slope:
The slope is the number being multiplied by x.
y = mx + b
y = 6x - 5
Therefore, the slope is 6.
Let's find the y-intercept:
The y-intercept is the last number in the equation.
y = mx + b
y = 6x -5
Therefore, the y-intercept is -5.
