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3 years ago

What is the surface area of the cylinder with height 5 ft and radius 3 ft? Round your answer to the nearest thousandth

Mathematics

1 answer:

BabaBlast [244]3 years ago

8 0

Answer:

150.8ft²

Step-by-step explanation:

A=2πrh+2πr2=2·π·3·5+2·π·32≈150.79645ft²

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Find the equation of the line passing through the points (1,5) and (3,9)

Arada [10]

Answer:

$\boxed{\sf{2}}$

Step-by-step explanation:

Use the slope formula.

$\underline{\text{SLOPE:}}$

$\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{Rise}{Run} }$

$\sf{y_2=9}\\\\\\\sf{y_1=5}\\\\\\\sf{x_2=3}\\\\\\\sf{x_1=1}$

$\sf{\dfrac{9-5}{3-1} }$

Solve.

$\sf{\dfrac{9-5}{3-1}=\dfrac{4}{2}=\boxed{\sf{2}}$

Therefore, the slope is 2, which is our answer.

I hope this helps. Let me know if you have any questions.

8 0

2 years ago

Use the figure to write and solve an equation for x

Lera25 [3.4K]

The answer is 6 :)))

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3 years ago

Suppose the function h(x)=2x-9 is translated up 5 united to become a new function, i(x). what the equation of the new function?

andreyandreev [35.5K]

Option B

i(x) = 2x - 4 is the equation of the new function

Solution:

Given that the function h(x) = 2x-9 is translated up 5 united to become a new function, i(x)

To find: Equation of new function

The graph of a function can be moved up, down, left, or right by adding to or subtracting from the output or the input.

Adding to the output of a function moves the graph up

Therefore,

Given function is:

h(x) = 2x - 9

Translated up by 5 units

Therefore, new function is:

i(x) = h(x) + 5

i(x) = 2x - 9 + 5

i(x) = 2x - 4

Thus Option B is correct

6 0

3 years ago

10. A veterinarian is changing the diets of two animals,

Karo-lina-s [1.5K]

Answer:

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3 years ago

The length of the longer leg of a right triangle is 6cm more than twice the length of the shorter leg. The length of the hypoten

pishuonlain [190]

Same as the one before a few way back.... so...check the picture below, then we use the pythagorean theorem

$\bf (2s+9)^2=s^2+(2s+6)^2
\\\\\\
4s^2+36s+81=s^2+4s^2+24s+36\implies 36s+81=s^2+24s+36
\\\\\\
0=s^2-12s-45\implies 0=(s-15)(s+3)\implies 
\begin{cases}
0=s-15\\
\boxed{15=s}\\
-----\\
0=s+3\\
-3=s
\end{cases}$

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3 years ago