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anastassius [24]

3 years ago

13

The cylinder shown has a lateral surface area of about 60 square inches. Which answer is closest to the height of the cylinder?

Use 3.14 to approximate pi.
2.12 inches

3.18 inches

6.36 inches

20 inches

2 answers:

LiRa [457]3 years ago

8 0

Answer: 3.18

Step-by-step explanation:

Virty [35]3 years ago

6 0

Answer:

See explanation

Step-by-step explanation:

Assuming the cylinder has a radius of the cylinder is 3 inches, then r=3

Given that the lateral surface area of the cylinder is 60, then we can use the formula:

$L.S.A = 2\pi \: rh$

We substitute the values to get;

$60 = 2 \times 3.14 \times 3h$

We solve for h to get:

$h = \frac{60}{2 \times 3.14 \times 3} = \frac{10}{3.14} = 3.1847$

In this case the correct answer is 3.18 inches.

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Elis [28]

Step 1: Y= 27 - 4x

To find X - intercept / zero, substitute Y = 0

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Step 2: 0 = 27 - 4x

Move variable to the left-hand side and change it's sign.

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divide both sides of the equation by 4

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Describe does Glide Reflection from the preimage triangle and black to the image triangle in red

AveGali [126]

Answer:

d

Step-by-step explanation:

Lets look at V which is at (2,-4).

We will also look at it's image V' which is at (-2,-1).

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Translating V left 4 and down 1 would give us (2-4,-4-1)

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Reflecting that across the x-axis would give us

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Translating V left 2 and up 2 gives us

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Now reflecting this over x=1 gives us

(2,-2). ( Imagine this x=1 which is verical going right smack between points (0,-2) and (2,-2).)

We still did not reach our goal image.

c. translation left 2 units up and up 3 units reflection y axis

Starting at V(2,-4) and moving left 2 & up 3 gives (2-2,-4+3)=(0,-1).

Now reflecting this over the vertical axis, the y-axis, gives us (0,-1).

So we did not reach our (-2,-1) point yet.

d. translation left 2 units and 3 units reflection line x=-1.

Starting at (2,-4) then moving left 2 and up 3 gives us (2-2,-4+3)=(0,-1).

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3 years ago

A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence

belka [17]

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

$\mathbf{n = 5}$ --- the number of digits

$\mathbf{r = 3}$ ---- the number of actions

Each of the three actions can either be:

<em>Pressing one button</em>
<em>Pressing a pair of buttons</em>

<em />

The number of ways of pressing a button is:

$\mathbf{n_1 = ^5C_1}$

Apply combination formula

$\mathbf{n_1 = \frac{5!}{(5-1)!1!}}$

$\mathbf{n_1 = \frac{5!}{4!1!}}$

$\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}$

$\mathbf{n_1 = 5}$

The number of ways of pressing a pair is:

$\mathbf{n_2 = ^5C_2}$

Apply combination formula

$\mathbf{n_2 = \frac{5!}{(5-2)!2!}}$

$\mathbf{n_2 = \frac{5!}{3!2!}}$

$\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}$

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So, the number of ways of performing one action is:

$\mathbf{n =n_1 + n_2}$

$\mathbf{n =5 + 10}$

$\mathbf{n =15}$

For the three actions, the number of ways is:

$\mathbf{Action = n^3}$

$\mathbf{Action = 15^3}$

$\mathbf{Action = 3375}$

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

brainly.com/question/4546043

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Step-by-step explanation:

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