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atroni [7]
2 years ago
15

what is the surface area of the cylinder with the hight of 8 ft and the radius of 6 ft? round your answer to the nearest thousan

dths
Mathematics
1 answer:
goblinko [34]2 years ago
5 0

Answer:

A = 301.593 ft^2

Step-by-step explanation:

The lateral area of a cylinder of radius r and height h is

A = 2πrh.  This does not include the areas of the ends of the cylinder.

Here that area is A = 2(3.14159)(6 ft)(8 ft), or

                             A = 301.593 ft^2

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Systems by graphing
Levart [38]

Answer:

A system of linear equations contains two or more equations to solve a problem.  We graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Step-by-step explanation:

4 0
3 years ago
Rewrite the exponential expression 25^3/2as a radical expression-<br> plss helpp
Agata [3.3K]

Answer:

\huge\boxed{\sqrt{25^{3}}}

Step-by-step explanation:

When we have a number to a fraction power, we need to note that

  • It's the same as taking the denominator root of the base to the numerator power

Basically, for example, 5^{\frac{1}{2}} is the same as \sqrt{5} since the numerator is 1 (5^1 = 5) and the denominator is 2 (\sqrt{5}).

Applying this same logic to 25^{\frac{3}{2}} -

25^{3}

\sqrt{25^3}

Hope this helped!

6 0
3 years ago
Read 2 more answers
-1.023 + 5.6 (show how you got the answer)
Rom4ik [11]

Answer:

-1.023 + 5.6 = 4.58

Step-by-step explanation:

1. Drop the 3 in -1.023, becoming -1.02

2. Add 0 at the end of 5.6, becoming 5.60

3. Here is the problem you now solve:

   -1.02 + 5.60. You can simply type this into your calculator. I hope this helped.

4 0
2 years ago
Read 2 more answers
2<br> Find the Surface area of the prism.<br> (2 Points)<br> 5 in<br> 3 in<br> 8 in<br> 4 in
MrRa [10]

Answer:

The surface area of the prism is 108 square in.

3 0
3 years ago
Find the vertex of the graph of the function.
lapo4ka [179]

Answer: The correct options are  (1) (5,10), (2) (3,-3), (3) x = -1, (4) y=(x+2)^2+3, (5) 21s and (6) 0, -1, and 5.

Explanation:

Te standard form of the parabola is,

f(x)=a(x-h)^2+k        .....(1)

Where,  (h,k) is the vertex of the parabola.

(1)

The given equation is,

f(x)=(x-5)^2+10

Comparing this equation with equation (1),we get,

h=5 and k=10

Therefore, the vertex of the graph is (5,10) and the fourth option is correct.

(2)

The given equation is,

f(x)=3x^2-18x+24

f(x)=3(x^2-6x)+24

To make perfect square add (\frac{b}{2a})^2, i.e., 9. Since there is factor 3 outside the parentheses, so subtract three times of 9.

f(x)=3(x^2-6x+9)+24-3\times 9

f(x)=3(x-3)^2-3

Comparing this equation with equation (1),we get,

h=3 and k=-3

Therefore, the vertex of the graph is (3,-3) and the fourth option is correct.

(3)

The given equation is

f(x)=4x^2+8x+7

f(x)=4(x^2+2x)+7

To make perfect square add (\frac{b}{2a})^2, i.e., 1. Since there is factor 4 outside the parentheses, so subtract three times of 1.

f(x)=4(x^2+2x+1)+7-4

f(x)=4(x+1)^2+3

Comparing this equation with equation (1),we get,

h=-1 and k=3

The vertex of the equation is (-1,3) so the axis is x=-1 and the correct option is 2.

(4)

The given equation is,

y=x^2+4x+7

To make perfect square add (\frac{b}{2a})^2, i.e., 2^2.

f(x)=x^2+4x+4+7-4

f(x)=x^2+4x+4+7-4

f(x)=(x+2)^2+3

Therefore, the correct option is  4.

(5)

The given equation is,

h=-16t^2+672t

It can be written as,

h=-16(t^2-42t)

It is a downward parabola. so the maximum height of the function is on its vertex.

The x coordinate of the vertex is,

x=\frac{b}{2a}

x=\frac{42}{2}

x=21

Therefore,  after 21 seconds the projectile reach its maximum height and the correct option is first.

(6)

The given equation is,

f(x)=3x^3-12x^2-15x

f(x)=3x(x^2-4x-5)

Use factoring method to find the factors of the equation.

f(x)=3x(x^2-5x+x-5)

f(x)=3x(x(x-5)+1(x-5))

f(x)=3x(x-5)(x+1)

Equate each factor equal to 0.

x=0,-1,5

Therefore, the zeros of the given equation is 0, -1, 5 and the correct option is 2.

3 0
3 years ago
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