K=.296368
That is some of k
Answer:
Hi! The answer to your question is (2,-3)
Step-by-step explanation:
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Answer:
just subtract 150 from 180 and it will give you 30 so 30 is b
Step-by-step explanation:
I checked too because I added 30 plus 90 plus 60 is 180 and every triangle has 180 degrees and I got 60 from the angle on the right I assumed I was 60 since its smaller than the right angle.
The dimensions of a cylinder which has this maximum volume are equal to 1.83 units and 3 units.
<u>Given the following data:</u>
- Height of cylinder, h = 5.5 units.
- Radius of cylinder, r = 4.5 units.
<h3>How to calculate the volume of this cylinder?</h3>
Mathematically, the volume of a cylinder can be calculated by using this formula:
V = πr²h
Next, we would convert the above multi-variable function into a single-variable function by applying the properties of 2 similar triangles:
H/H - h = R/r
H - h = r(H/R)
h = H/R(R - r)
V = πHr²/R(R - r)
In order to maximize the volume of this cylinder, we would determine the critical points of the function by differentiating wrt r:
dV/dr = πH/R(2rR - 2r² - r²)
(2rR - 3r²) = 0
r = 2R/3
r = (2 × 4.5)/3
Maximum radius, r = 3 units.
For the max. height, we have:
h = H/R(R - r)
h = H/R(R - 2R/3)
h = H/3
h = 5.5/3
Maximum height, h = 1.83 units.
Read more on cylinder here: brainly.com/question/315709
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first, get y by itself: 3y is less than or equal to 5x - 6. divide both sides by 3, and get y is less than or equal to 5/3x - 2.<u>the answer is the second one.</u>