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Vaselesa [24]
3 years ago
10

Find the surface area of the cylinder. Use 3.14 for pi ( the cylinder is shown in the attachment)

Mathematics
2 answers:
lianna [129]3 years ago
8 0
A=2πrh+2πr^2= 2·π·1·12+2·π·1^2 ≈ 81.68141
Tanzania [10]3 years ago
4 0
100.53. It has to that. or 213.63
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determine the mode for the following set of test scores: 63, 70, 75, 80, 85, 85, 85, 92, 92, 95, 99. (a.92) (b.85) (c.84) (d.83)
Alenkasestr [34]

The mode is the score that occurs the most

Here it is 85

Choice B

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3 years ago
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Write each polynomial in standard form. Then give the leading coefficient. You may need to combine like terms before writing the
rewona [7]

Answer: y(-3y^7+18y^4+10)

Step-by-step explanation:

4 0
2 years ago
How many of the first 999 Fibonacci numbers are odd?
liq [111]
Every 3rd number is even with 2 odd numbers in between successive even numbers.

999/3 = 333 x 2 = 666.
6 0
3 years ago
What is the slope of a line PARALLEL to the graph?
Contact [7]
(0,-2)(1,1)
slope = (1+2)/(1-0) = 3
parallel lines have same slope

so answer 

<span>C) 3 

--------------
C (0,2) if SF = 1/2
so C'(0. 1)

answer
</span><span>C) (0, 1) </span>
3 0
3 years ago
Find the points on the cone z2 = x2 + y2 that are closest to the point (6, 2, 0).
aliya0001 [1]

Answer:

The closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

Step-by-step explanation:

Let B(x, y, z) denote a point on the cone.

Therefore, the distance between the points (6, 2, 0) and B(x, y, z) is;

d = √[(x - 6)² + (y - 2)² + (z - 0)²]

d = √[(x - 6)² + (y - 2)² + z²]

Since we are given that z² = x² + y², we now have;

d = √[(x - 6)² + (y - 2)² + x² + y²]

Taking the square of both sides gives;

d² = [(x - 6)² + (y - 2)² + x² + y²]

x² is an increasing function. Thus, minimizing d is also the same as to minimize f (x, y) = d²

Thus, f' = 0. So;

df/dx = 2(x - 6) + 2x = 0

2x - 12 + 2x = 0

4x = 12

x = 12/4

x = 3

Similarly,

df/dy = 2(y - 2) + 2y = 0

2y - 4 + 2y = 0

4y - 4 = 0

4y = 4

y = 4/4

y = 1

Now,from earlier;

z² = x² + y²

Thus;

z = ±√(3² + 1²)

z = ±√10

Thus, the closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

7 0
3 years ago
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