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stepladder [879]
3 years ago
7

The steps for determining the center and radius of a circle using the completing the square method are shown below:

Mathematics
1 answer:
Fudgin [204]3 years ago
7 0
The answer is option c.
 That is, the wrong step in step 6. It was written that the center of the circunference is the point (2.1). However, the general equation of a circumference is:
 (X- (a)) ^ 2 + (Y- (b)) ^ 2 = r ^ 2
 Where the point (a, b) is the center of the circle.
 So for this case the point for the center is: (-2, -1)
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A top-loading washing machine has a cylindrical basket that rotates about a vertical axis. The basket of one such machine starts
damaskus [11]

Answer:

n_{tot}=44rev

Step-by-step explanation:

In order to solve this problem we can make use of the following formula:

\theta=(\frac{\omega_{f}+\omega_{0}}{2})t

where θ is the total angle the basket has turned, ω is the angular velocity and t is the time.

Generally theta is written in radians and omega is written in radians per second. Now, since the revolutions are directly related to the radians and they want us to write our answer in revolutions, we can directly use the provided speeds in the formula, so we can rewrite it as:

n=(\frac{f_{f}+f_{0}}{2})t

where n represents the number of revolutions and f is the frequency at which the basket is turning.

The movement of the cylindrial basket can be split in two stages, when it accelerates and when it decelerates. So let's analye the first stage:

n=(\frac{4rev/s+0}{2})(9s)=18rev

and now let's analyze the second stage, where it decelerates, so we get:

n=(\frac{0rev/s+4rev/s}{2})(13s)=26rev

So now that we know how many revolutions the cylindrical basket will take as it accelerates and as it decelerates we can add them to get:

n=18rev+26rev=44rev

So the basket will turn a total of 44 revolutions during this 22s interval.

3 0
3 years ago
Urgent~What type of angles are 1 and 5?
Kitty [74]
Corresponding angles ??
6 0
3 years ago
What is the area of the sector with a central angle of 49° and a radius of 11 cm? Use 3.14 for pi and round your final answer to
olga_2 [115]

Answer:

\boxed{\text{51.71 cm}^{2}}

Step-by-step explanation:

If the angle θ is in radians, the formula for the area (A) of a sector of a circle is

A = ½r²θ

If θ is in degrees

A = \dfrac{1}{2}r^{2}\theta \times \dfrac{\pi \text{ rad}}{180^{\circ}}= \pi r^{2}\times\dfrac{\theta }{360}

Data:

θ = 49°

r = 11 cm

Calculation:

\begin{array}{rcl}A& = &3.14\times 11^{2}\times\dfrac{49}{360}\\\\ & = &3.14 \times 121 \times 0.1361\\ & = & \mathbf{51.71}\\\end{array}\\\text{The area of the sector is }\boxed{\textbf{51.71 cm}^{2}}

4 0
3 years ago
A prairie dog left its burrow 5 feet underground and started digging deeper into the ground. It digs straight down at a constant
SpyIntel [72]

Building and solving an equation to model the situation, it is found that it takes 4 min for the prairie dog to reach 13 feet underground.

  • Initially, the dog is 5 feet underground.
  • Each minute, the dog goes 2 more feet underground.

Hence, the underground height of the dog after t seconds is given by:

h(t) = 5 + 2t

The time it takes for the dog to reach 13 feet underground is <u>t for which h(t) = 13</u>, hence:

h(t) = 5 + 2t

13 = 5 + 2t

2t = 8

t = \frac{8}{2}

t = 4

It takes 4 min for the prairie dog to reach 13 feet underground.

A similar problem is given at brainly.com/question/25290003

7 0
2 years ago
What is the approximate value of 200,000 x 200
Nesterboy [21]

it would be 40000000 because there there are 7 zeroes and then you and then you multiply the two twos together and then put it in the front.

3 0
3 years ago
Read 2 more answers
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