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Rom4ik [11]
3 years ago
14

Use the net to find the surface area of the cylinderGive your answer in terms of pi

Mathematics
1 answer:
Agata [3.3K]3 years ago
7 0
Surface area= combined area of the figure; 

Surface area of right cylinder: 2πrh+2πr² (the first part represents area of rectangle and the second represents the area of the circles) 

SA=2π(4/2)(12)+ 2π(4/2)² <-- radius is half the diameter
SA=175.9 yd²

<span>Hope I helped :) </span>
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4. Find the standard from of the equation of a hyperbola whose foci are (-1,2), (5,2) and its vertices are end points of the dia
Ad libitum [116K]

The <em>standard</em> form of the equation of the hyperbola that satisfies all conditions is (x - 2)²/4 - (y - 2)²/5 = 1 .

<h3>How to find the standard equation of a hyperbola</h3>

In this problem we must determine the equation of the hyperbola in its <em>standard</em> form from the coordinates of the foci and a <em>general</em> equation of a circle. Based on the location of the foci, we see that the axis of symmetry of the hyperbola is parallel to the x-axis. Besides, the center of the hyperbola is the midpoint of the line segment with the foci as endpoints:

(h, k) = 0.5 · (- 1, 2) + 0.5 · (5, 2)

(h, k) = (2, 2)

To determine whether it is possible that the vertices are endpoints of the diameter of the circle, we proceed to modify the <em>general</em> equation of the circle into its <em>standard</em> form.

If the vertices of the hyperbola are endpoints of the diameter of the circle, then the center of the circle must be the midpoint of the line segment. By algebra we find that:

x² + y² - 4 · x - 4 · y + 4= 0​

(x² - 4 · x + 4) + (y² - 4 · y + 4) = 4

(x - 2)² + (y - 2)² = 2²

The center of the circle is the midpoint of the line segment. Now we proceed to determine the vertices of the hyperbola:

V₁(x, y) = (0, 2), V₂(x, y) = (4, 2)

And the distance from the center to any of the vertices is 2 (<em>semi-major</em> distance, a) and the semi-minor distance is:

b = √(c² - a²)

b = √(3² - 2²)

b = √5

Therefore, the <em>standard</em> form of the equation of the hyperbola that satisfies all conditions is (x - 2)²/4 - (y - 2)²/5 = 1 .

To learn more on hyperbolae: brainly.com/question/27799190

#SPJ1

5 0
2 years ago
5x+6.5=8x-2.5 what does this mean and i would like to know how to solve this equation
Bingel [31]

The answer is x = 3

I hope this helped

6 0
3 years ago
What formula is used to find 44% of 8?<br><br>​
-BARSIC- [3]
The formula is 8x.44
6 0
3 years ago
{4x+2y=10<br> y=2x-1<br><br>What is the value of x+y<br><br>A.3.125<br>B.2<br>C.4.5<br>D.3.5​
Evgen [1.6K]

Answer:

D.3.5

Step-by-step explanation:

4x+2y=10(given)

2x+y=5

y=5-2x-----(1)

y=2x-1------(2)(given)

Since the left side of the equations are the the same,

5-2x=2x-1

4x=6

x=1.5

Sub x=1.5 into eq(1),

y = 5-2(1.5) = 5-3 = 2

so, x+y = 1.5+2 = 3.5

8 0
3 years ago
Read 2 more answers
Write 2,670,000 in scientific notation.
hjlf
Scientific notation is just rewritten so that it has a single digit in front of the decimal and that this is multiplied by a power of ten that makes this decimal equal to the original number.

In this case we have 2.67 million.  Well a million is equal to 10^6, because 10*10*10*10*10*10=one million.

So in scientific notation you would write:

2.67X10^6
5 0
3 years ago
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