Trigonometry:
What is the length of Ac?
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Given:

The rule of transformation is:

[tex](x,y)\to (y,x)[/tex]

The three points are A(-2,1), B(4,-3), C(-2,-4).

To find:

The image for the given points using the given rule.

Solution:

The three points are A(-2,1), B(4,-3), C(-2,-4).

The rule of transformation is:

[tex](x,y)\to (y,x)[/tex]

Using this rule, we get

[tex]A(-2,1)\to A'(1,-2)[/tex]

[tex]B(4,-3)\to B'(-3,4)[/tex]

[tex]C(-2,-4)\to C'(-4,-2)[/tex]

The image of given points are A'(1,-2), B'(-3,4), C'(-4,-2). Therefore, the correct option is B.

Answer:

15

Step-by-step explanation:

Answer: 300+70+8+0.8+0.3+0.2

Step-by-step explanation: Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 5,325 in expanded notation form is 5,000 + 300 + 20 + 5 = 5,325.

Answer:

y = -2/3x + 1

Step-by-step explanation:

y = -2/3x + b

-1 = -2/3(3) + b

-1 = -2 + b

1 = b

y = -2/3x + 1

Answer:

A.   x = 10

Step-by-step explanation:

-5x + 20 = -30

Subtract 20 from both sides

-5x = -50

Divide both sides by -5

x = 10

Answer:

A. x = 10

Step-by-step explanation:

- 5x + 20 = - 30

- 5x = - 30 - 20

- 5x = - 50

5x = 50

x = 50 / 5

x = 10

Answer:

Step-by-step explanation:

[tex]\frac{\frac{1}{2} *(6*4)}{3+2}\\\\\frac{12}{5} \\\\2.4 = 2\frac{2}{5}[/tex]

Step-by-step explanation:

hope this helped you :)) !!

Answer:

D

Step-by-step explanation:

Gaining 10 points would be +10

Answer:

Step-by-step explanation:

angles in triangle = 180

1. 180 - (70+45) = x = 65

2. x = 35

180 - 110 = 70

70/2 = 35 (isosceles triangle)

3. x = 113, y = 67

180 - (62 + 51) = y = 67

Angles on a line = 180

180 - 67 = x = 113

4. x = 60, y = 50

x = 180 - 120 = 60

y = 180 - (60 + 70) = 50

answers in degrees.

Answer:

615.75

Step-by-step explanation:

Answer:

I'm pretty sure the answer is D

Answer:

268.3 cm³

Step-by-step explanation:

Surface area of triangular pyramid = Base Area + ½*(perimeter of base)(height of pyramid)

Base area = 43.3 cm²

Perimeter of base = 10 + 10 + 10 = 30 cm

Height of pyramid = 15 cm

Plug in the values

Surface area = 43.3 + ½(30)(15)

Surface area = 43.3 + 225

= 268.3 cm³

ok lets convert first

1/2=0.5

Then divide

2/0.5=4

so now we multiply 50 with 4

50*4=200

The answer would be D

D, 200 miles

Step-by-step explanation:

a) 81 is the answer of your question

hope it is helpful to you

Answer:

2 or 2/1

Step-by-step explanation:

First we put -"3y" to the other side of the equation to get

3y=6x+6

Now divide everything by 3 to get "y" by itself.

y=2x+2

The slope is 2 or 2/1

Answer:

b.2

Step-by-step explanation:

6x-3y+6=0

-3y=-6x-6 divide both sides by -3

y=2x+2

Answer:

y=36x, I think would be the correct answer

Answer:

See Below.

Step-by-step explanation:

11)

We have:

[tex]\displaystyle \cos\theta\cdot \cot\theta+\sin^2\theta\cdot \csc\theta=\csc\theta[/tex]

Rewrite:

[tex]\displaystyle \cos\theta\left(\frac{\cos\theta}{\sin\theta}\right)+\sin^2\theta\left(\frac{1}{\sin\theta}}\right)=\csc\theta[/tex]

Multiply:

[tex]\displaystyle \frac{\cos^2\theta}{\sin\theta}+\frac{\sin^2\theta}{\sin\theta}=\csc\theta[/tex]

Combine:

[tex]\displaystyle \frac{\cos^2\theta+\sin^2\theta}{\sin\theta}=\csc\theta[/tex]

According to the Pythagorean Identity, sin²θ + cos²θ = 1. Hence:

[tex]\displaystyle \frac{1}{\sin\theta}=\csc\theta[/tex]

Simplify:

[tex]\csc\theta=\csc\theta[/tex]

12)

We have:

[tex]\displaystyle \frac{\cos^2\theta +\sin^2\theta}{1+\tan^2\theta}=\cos^2\theta[/tex]

Pythagorean Identity:

[tex]\displaystyle \frac{1}{1+\tan^2\theta}=\cos^2\theta[/tex]

From the Pythagorean Identity, if we divide both sides by cos²θ, we acquire that tan²θ + 1 = sec²θ. Hence:

[tex]\displaystyle \frac{1}{\sec^2\theta}=\cos^2\theta[/tex]

Simplify:

[tex]\cos^2\theta =\cos^2\theta[/tex]

13)

We have:

[tex]\displaystyle \frac{\csc\theta\cdot \cos\theta}{\tan\theta +\cot\theta}=\cos^2\theta[/tex]

Rewrite:

[tex]\displaystyle \frac{1/\sin\theta\cdot \cos\theta}{\sin\theta/\cos\theta+\cos\theta/\sin\theta}=\cos^2\theta[/tex]

Multiply both top and bottom by cosθsinθ. Hence:

[tex]\displaystyle \frac{\cos^2\theta}{\sin^2\theta +\cos^2\theta}=\cos^2\theta[/tex]

By the Pythagorean Identity:

[tex]\displaystyle \frac{\cos^2\theta}{1}=\cos^2\theta[/tex]

Simplify:

[tex]\cos^2\theta=\cos^2\theta[/tex]

Answer:

the timing taken to solve each math problem and each biology problem is 4 minutes each respectively

Step-by-step explanation:

Let us assume the timing taken for math problem be x

And, the time taken for biology problem be y

Now as per the question

The following equations should be considered

x + 2y = 14 .............(1)

2x + y = 16. ...................(2)

Multiply by 2 in equation 1

So,

2x + 4y = 28

2x + y = 16

3y = 12

y = 4 minutes

So, x = 14 - 2(4)

= 12 - 8

= 4 minutes

hence, the timing taken to solve each math problem and each biology problem is 4 minutes each respectively

Answer:

The collection method was random because the selection process ensured a random representation of each manufacturer’s water pumps.

Step-by-step explanation:

Given the Bureau’s data collection method and report, the conclusion that can be made is "The collection method was random because the selection process ensured a random representation of each manufacturer's water pumps.". Option B. This is further explained below.

Generally, data collection is simply defined as the process of acquiring and measuring information on variables of interest in a systematic manner

In conclusion, with the Bureau's data collecting technique and report, one might draw the following conclusion; The collection method was random since the selection procedure assured a random representation of each manufacturer's water pumps.

Read more about Data Collection

https://brainly.com/question/15521252

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Answer:

125 cups

Step-by-step explanation:

45 is 36% of what number?

45 = 0.36n

n = 45 / 0.36

n = 125

Answer:

fonite is amzing

Step-by-step explanation:

Answer:

a=2054cm2

b=822cm2

Step-by-step explanation:

a=(26×47) + [(25×16)×2]=2054cm2

b=(26×47)-(25×16)=822cm2

Answer:

Graph D

Step-by-step explanation:

The slope of the data is 2.5 because 2.5 cups of flour are used for every ounce of butter. Some points on the graph we can use is (0,0) and (10,4).

(0,0): When there are 0 cups of flour, there are 0 ounces of butter.

(10,4): When there are 10 cups of flour, there are 4 ounces of butter.

Slope=m

[tex]m=\frac{Change(y)}{Change(x)}[/tex]

[tex]m=\frac{10-0}{4-0}[/tex]

[tex]m=\frac{10}{4}[/tex]

[tex]m=2.5[/tex]

Graph D is the only graph containing the point (10,4) and (0,0). So, Graoh D is the correct graph.

Answer:

Hello! answer: 264

Step-by-step explanation:

Volume is super simple you just do multiply all of these together for it so...

5 1 /2 × 12 × 4 = 264 HOPE THAT HELPS!

Answer:

sorry I did this stuff before but don´t remember it

Step-by-step explanation:

Answer:

umm

Step-by-step explanation:

The maximum number of pounds p is 224

Step-by-step explanation:

Let

p ----> the maximum number of pounds he can pull without going over the weight limit

we know that

121 pound of rock in the wheelbarrow plus p pounds must be at most 345 pounds

In this problem the word "at most" means "less than or equal to"

so

The inequality that represent this situation is

solve for p

subtract 121 both sides

therefore

The maximum number of pounds is 224

Answer:

The answer is 10

Step-by-step explanation:

-add all numbers in a sum

-divide by total of numbers

-use 1.5 strategy

-you get ten

Answer:

10

Step-by-step explanation:

took quiz