1. Find the Surface Area
10 km
3 km
8 km
6 km
It’s a 3D object

Answers:

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Explanations:

Part (a)

The highest point is when y = 0 and the lowest point is when y = -4. The vertical distance between the peak and valley is 4 units, which cuts in half to 2. This is the amplitude. It's the vertical distance from the center to either the peak or valley.

Note: Amplitude is always positive as it measures a distance.

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Part (b)

For x > 0, the first valley or lowest point occurs between 0 and pi/4. It appears to be the midpoint of the two values. So that would be (0+pi/4)/2 = pi/8.

The next valley occurs between pi and 5pi/4. Compute the midpoint to get (pi+5pi/4)/2 = (4pi/4+5pi/4)/2 = (9pi/4)/2 = 9pi/8

So we have the graph go from one valley x = pi/8 to the next valley over x = 9pi/8. This is a distance of pi units because 9pi/8-pi/8 = 8pi/8 = pi

The graph repeats itself every pi units, so the period is pi.

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Part (c)

The midline is normally through y = 0, aka the x axis. However, the graph shows the midline is through y = -2. This means the graph has been shifted down 2 units.

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Part (d)

This will depend on whether you use sine or cosine. This is entirely because cosine is a phase-shifted version of sine, and vice versa. I'll go with sine.

The parent sine function y = sin(x) goes through the origin (0,0)

However, as part (c) mentioned, we shifted the graph 2 units down. So we have y = sin(x)-2. But plugging x = 0 into this leads to the point (0,-2)

This doesn't match what the graph says. The graph shows the point (3pi/8, -2) on the red curve. The x coordinate 3pi/8 is the midpoint of pi/4 and pi/2

This must mean we need to shift the sine graph 3pi/8 units to the right.

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Part (e)

Start at the lowest point when x = pi/8. If you start the cycle here, then it ends when x = 9pi/8. See part (b).

So far we've completed one cycle. If we start at x = 9pi/8, then the next valley or lowest point is slightly beyond or to the right of x = 2pi. This means we run out of room and we haven't completed a full cycle.

Overall, one full cycle is between 0 and 2pi.

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Part (f)

Again I'm going to use sine instead of cosine. Refer back to part (d).

The general sine curve equation is

y = A*sin(B(x-C))+D

where

In this case, we found that

So,

y = A*sin(B(x-C))+D

will update to

y = 2*sin(2(x-3pi/8))-2

which is one way to express the equation of the red curve. Optionally you can distribute the 2 through to (x-3pi/8).

Answer:

the amount of angle the hall is so prob like 5

Step-by-step explanation:

you provided insufficient details to answer

Answer: 30 degrees

Step-by-step explanation:

2 interior angles of 75 degrees.

75+75=150.

180-150=30

Answer:

2x+2y = 8

x – 2y = 4

3x=12

x=12/3=4

x=4

2x+2y=8

2(4) + 2y = 8

8+2y = 8

2y=8-8

2y=0

y=0/2=0

2(4)+2(0)=8

8+0=8

x+y=8

x-y=4

2x=12

x=12/2=6

6+y=8

y=8-6=2

6+2=8

2x+2y=4

x-y=4

2x+2y=4

2(x-y=4)

2x+2y=4

2x-2y=8

4x=12

x=12/4=3

2(3)+2y=4

6+2y=4

2y=4-6

2y=-2

y=-2/2=-1

2(3)+2(-1)=4

6+-2=4

x+2y=8

-(x+3y=4)

x+2y=8

-x-3y=-4

-1y=4

y=4/-1=-4

x+2(-4)=8

x+-8=8

x=8+8=16

Answer: (x, y) --> (x, -y)

Step-by-step explanation:

This is a reflection over the x-axis so its only the y-intercept that changes.

Answer:

its a reflection

Step-by-step explanation:

If it were a rotation, it wouldnt have overlapped.

If it were a translation, It would have been the wrong way up and not overlapping.

When reflected over line x, it will overlap because it stays rigid and does not change shape or size.

hope this helps :)

Answer:

225 I just checked tell me if you're right

Answer:

15*15 = 225

15*15 is the same as [tex]15^{2}[/tex]

if you wanted to sit there you could add 15 with itself 15 times and you'd get 225.

no matter how ya do it, 15 *15 is 225

Step-by-step explanation:

Answer:

2

Explanation:

I'll explain later, it has to do with prime factors, and perfect cubes.

The two values of y that work are 18, and 144.

³√(144/18) = ³√(8) = 2 [whole number]

³√(144/144) = ³√(1) = 1 [whole number]

Answer:

it would be 180 dollars.

Step-by-step explanation:

as you do 30 percent of 600 dollars

Answer: 14s - 7s/2 = 84

Step-by-step explanation:

Given that s is the length of the unknown side:

Area of the shaded region = 84

Area of rectangle - Area of triangle = 84

Area of rectangle = L * W

= 14 * s

= 14s

Area of triangle = ¹/₂ * base * height

= ¹/₂ * 14 * s/2

= 7s/2

Area of shaded region:

14s - 7s/2 = 84

Solving for s:

14s - 7s/2 = 84

28s - 7s = 168

21s = 168

s = 168/21

s = 8 inches

Answer: 65

Step-by-step explanation:

Answer:

wut

Step-by-step explanation:

Answer:

angle x = 98

angle y = 82

angle z = 82

Step-by-step explanation:

angle y + 98 = 180; therefore, angle y = 82 degrees

angles z and y are alternate interior angles and are congruent (equal)

angle x is 98 degrees because angles x and y are same-side interior and their angles are supplementary (add up to 180 degrees)

Answer:

y=0.17x+50.   His trip cost $50.85

Step-by-step explanation:

Answer:

Angle 6 is 47°

Step-by-step explanation:

Answer: im just going to guess 35 degrees

Step-by-step explanation:

Answer:

its 25

Step-by-step explanation:

35+120 =155

180 (the sum of a triangle) - 155 = 25

missing triangle equals= 25

to check= add the 3 triangles together, if the sum adds up to 180 its correct.

125+35+25= 180 √

Answer:

65-n

Step-by-step explanation:

"less than" means you will subtract the second number by the first, therefore 65 less than a number is 65-n.

Answer: Types of fish sold

The type of fish sold is the independent variable in the student's experiment. So, the correct option is (A).

A variable is any kind of characteristic, number, or quantity which can be measured or counted. It can also be called a data item. Examples of variables are age, sex, occupation income and expenses, country of birth, capital expenditure, class grade, eye color, and vehicle type.

There are two types of Variables are:

1. Dependent variable

A dependent variable is a type of variable which changes as the result of independent variable manipulation which is the outcome interested in measuring, and it "depends on" the independent variable.

2. Independent variable

An independent variable is the type of variable which is manipulated or varied in an experimental study in order to detect its effects. This is "independent" because it is not affected by any other variable in the study.

In above case, this is independent because types of fish characteristic is not dependent for the experiment.

Thus, the type of fish sold is the independent variable in the student's experiment. So, the correct option is (A).

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Answer:

3r=2

Step-by-step explanation:

Answer:

The installation fee is $150

Step-by-step explanation:

Ok so we need to see how much of the $210 is the installation fee. So first were going to multiply 5 by 12 which equals 60. So now were going to subtract that from the $210 so that gives us...

$210-$60=$150

Answer:

[tex]\boxed {\boxed {\sf 1. \ 20 }}[/tex]

Step-by-step explanation:

An equilateral triangle has 3 equal sides and angles. Remember that equilateral sounds like equal.

The interior angles of a triangle must equal 180 degrees.

The question tells us the angle is equal to (4x-20).

So, by substitution, we can set 60 and (4x-20) equal to each other.

[tex]60=4x-20[/tex]

Now, solve for x by isolating the variable on one side of the equation.

20 is being subtracted from 4x and the inverse operation of subtraction is addition. Add 20 to both sides of the equation.

[tex]20+60=4x-20+20 \\ 20+60=4x\\80=4x[/tex]

x is being multiplied by 4. The inverse operation of multiplication is division. Divide both sides of the equation by 4.

[tex]\frac{80}{4}=\frac{4x}{4}[/tex]

[tex]\frac{80}{4}=x \\\ 20=x[/tex]

x is equal to 20 and choice 1 is correct.

Answer:

1. x^2-5

2. 13x+3

3. Add −5 and 3

2x−13x-2

hope this helps!!:)

Step-by-step explanation:

Answer:

slope = -1

Step-by-step explanation:

Use the slope formula [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex] to find the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. So, we'll use the points given in the question, (-2,6) and (9, -5). Substitute -2 for [tex]x_1[/tex], 6 for [tex]y_1[/tex], 9 for [tex]x_2[/tex], and -5 for [tex]y_2[/tex]. Then, solve:

[tex]\frac{(-5)-(6)}{(9)-(-2)} \\= \frac{-5-6}{9+2} \\= \frac{-11}{11} \\= -1\\[/tex]

Therefore, the slope is -1.

The slope of the line that passes through the points (-2, 6) and (9, -5) is -1.

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

Given the coordinates of the two points on the graph is (-2, 6) and (9, -5). Therefore, the slope of the line that passes through this point is,
Slope = [6 - (-5)] / [-2 - 9]

Slope = (11) / (-11)

Slope = -1

Hence, the slope of the line will be -1.

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Answer:

F(x)= 4x-1 I think so hope it will help you

 f(x) = −2x^2 + 12x − 16

I just took the test and it was right

Answer:

y=-x+15

Step-by-step explanation:

hope this helps :)

Answer:

4,800

Step-by-step explanation:

Just multiply 800 x 6, which gets 6,800. Then, get 11,600 and subtract 6,800 from it. You'll get 4,800.

Answer:

x=20

Step-by-step explanation:

Answer A. 3 mph

A. 3 mph

Answer: it’s 2!

Step-by-step explanation:

i got it right on edge 2021! good luck!

Answer:

the answer is 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

36. (4,1)

x-axis(4,-1)

y-axis(-4,1)

37.(-2,3)

x-axis(2,-3)

y-axis(-2,3)

38.(2,-5)

x-axis(-2,5)

y-axis(2,-5)

39.(-3.5, -2.5)

x-axis(-3.5,2.5)

y-axis(3.5,-2.5)

Please correct me I am wrong

Here is the y-axis formula (-x,y)

Here is the x-axis formula(x,-y)