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atroni [7]
3 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]3 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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Solve y = f(x) for x. Then find the input(s) when the output is 10.
elixir [45]

The inputs are 1 and -1 when the output is 2.

Step-by-step explanation:

The given function is

f(x) = 10 x²

Then we set y = f (x)

  y = 10 x²

By dividing each side by 10 we get

 x² = y/10

Then we solve for x

 x = ±\sqrt{y/2}

Now we have to find the input(s) when the output is 10

  x = ±\sqrt{10/10}

  x = ± 1

Hence, the inputs are 1 and -1 when the output is 2.

The final solution is x =1 and x = -1.

7 0
3 years ago
Solve the following system of equations using substitution.<br><br> 4x + 2y = 12<br> x = y + 3
BigorU [14]

Answer:

x = 3

y = 0

Step-by-step explanation:

The method of substitution is when one solves an equation for one of the variables, and then substitutes the expression into the other equation. After doing so, one will solve the other equation for the remaining variable and then backsolve for the first variable.

4x + 2y = 12

x = y + 3

The second equation is already sovled for parameter (x), subttiute this into the other equation,

4(y + 3) + 2y = 12

Distribute,

4y + 12 + 2y = 12

Simplify,

6y + 12 = 12

Inverse operations,

6y + 12 = 12

-12

6y = 0

/6

y = 0

Backsolve for (x), substitute the value of (y) into the equation for (x) and solve,

x = y + 3

x = 0 + 3

x = 3

4 0
3 years ago
Read 2 more answers
Find the measure of an angle between 0º and 360º coterminal with an angle of –110º in standard position
kondor19780726 [428]
<h2>Answer:</h2>

An angle measures how how much you have to rotate one line called <em>initial side</em> so it lies on the top of other line called the <em>terminal side. </em>Angles whose vertex is located at the origin having the initial side on the positive x-axis is said to be in standard position. On the other hand, coterminal angles are angles in standard position having the same terminal side. In this way, for the angle:

-110^{\circ} \\ \\ Its \ coterminal \ is: \\ \\ \alpha=360^{\circ}-110^{\circ}=\boxed{250^{\circ}}

3 0
3 years ago
By applying the rules of probability to the following cross, Rr x Rr, determine the probability of the offspring being homozygou
Yanka [14]
Using the Punnette Square :
R r 
<span>R RR Rr </span>
<span>r Rr rr 
</span>Hence,
<span>By applying the rules of probability  Rr x Rr, the probability of the offspring being homozygous recessive will be one fourth or a quarter.
SO the best is :

B. 1/4</span>
7 0
3 years ago
What is one-half of 3/4
Mnenie [13.5K]
THE HALF OF 3/4 WOULD BE 0.375
4 0
3 years ago
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