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3 years ago

10

Round 1.24236 to the nearest hundredth

2 answers:

maria [59]3 years ago

4 0

It’s 1.24 like the other guy said ♡

matrenka [14]3 years ago

3 0

Answer:

1.24

Step-by-step explanation:

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1. The mechanics at Lincoln Automotive are reborning a 6 in deep cylinder to fit a new piston. The machine they are using increa

Firdavs [7]

Answer:

$0.0239\frac{in^{3}}{min}$

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram of the cylinder. (See attached picture)

This diagram will help us visualize the problem better.

So we start by determining what data we already know:

Height=6in

Diameter=3.8in

Radius = 1.9 in (because the radius is half the length of the diameter)

The problem also states that the radius will increase on thousandth of an inch every 3 minutes. We can find the velocity at which the radius is increasing with this data:

$r'=\frac{1/1000in}{3min}$

which yields:

$r'=\frac{1}{3000}\frac{in}{min}$

with this information we can start solving the problem.

First, the problem wants us to know how fast the volume is increasing, so in order to find that we need to start with the volume formula for a cylinder, which is:

$V=\pi r^{2}h$

where V is the volumen, r is the radius, h is the height and π is a mathematical constant equal approximately to 3.1416.

Now, the height of the cylinder will not change at any time during the reborning, so we can directly substitute the provided height, so we get:

$V=\pi r^{2}(6)$

or

$V=6 \pi r^{2}$

We can now take the derivative to this formula so we get:

$\frac{dV}{dt}=2(6)\pi r \frac{dr}{dt}$

Which simplifies to:

$\frac{dV}{dt}=12\pi r \frac{dr}{dt}$

We can now substitute the data provided by the problem to get:

$\frac{dV}{dt}=12\pi (1.9) (\frac{1}{3000})$

which yields:

$\frac{dV}{dt}=0.0239\frac{in^{3}}{min}$

3 0

3 years ago

Find percent notation.<br> 4/5

Romashka [77]

The Answer to your problem is:

0.8

8 0

3 years ago

Read 2 more answers

Prove the following identity true. Show work.

yulyashka [42]

Answer:

The Pythagorean identity states that

$\sin^2 t + \cos^2 t = 1$

Using that we can rewrite the left denominator as:

$1 - \sin^2 t$

Which can be factored as

$(1 - \sin t)(1+ \sin t)$

The numerator we can expand as:

$(1 - \sin t)(1 - \sin t)$

On the right hand side, let's multply numerator and denominator with (1 - sin t):

The total formula then becomes:

$\dfrac{(1-\sin t)(1-\sin t)}{(1 - \sin t)(1 + \sin t)} = \dfrac{(1-\sin t)(1 - \sin t)}{(1+\sin t)(1 - \sin t)}$

There you go... left and right are equal.

3 0

3 years ago

Read 2 more answers

the walls of a square room need pain each of the four walls is 12 ft wide by 8.5 feet tall. One gallon of paint covers 75ft^2. h

Bingel [31]

Answer:

You would need 2 1/2 gallons of paint to finish the room.

Step-by-step explanation:

Step 1: 12 x 8.5

Step 2: you should get 102. Then multiply 102 x 4

Step 3: then divide by 150 (which is the quotent of 75 x 2)

Your finally should be 2.72 :)

8 0

3 years ago

Identifying Cross Sections of Solids

NARA [144]

Prisms is the answer for the question

7 0

2 years ago