One angle is its own supplement.
What size is this angle?

The characteristics of the sinusoidal function can be found from the given

graph of the function.

The sinusoidal function is the sine function that has the following general equation;

a = The amplitude

b = Angular frequency

h = The horizontal shift

k = The vertical shift

The minimum value of the sinusoidal function.

From the given graph, we have;

The amplitude, a = 2

The period, T = 10 = 2·π/b

b = π/5

The vertical shift, k = 3

The horizontal shift = 0

The minimum value of the function = k - a

Therefore;

Learn more about sinusoidal functions here:

https://brainly.com/question/6666829

Answer:

[tex]\displaystyle 1[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = 2cos\:(\frac{\pi}{5}x - \frac{\pi}{2}) + 3} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2\frac{1}{2}} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{\pi}{5}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{10} \hookrightarrow \frac{2}{\frac{\pi}{5}}\pi \\ Amplitude \hookrightarrow 2[/tex]

OR

[tex]\displaystyle \boxed{y = 2sin\:\frac{\pi}{5}x + 3} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{10} \hookrightarrow \frac{2}{\frac{\pi}{5}}\pi \\ Amplitude \hookrightarrow 2[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2cos\:\frac{\pi}{5}x + 3,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle 2\frac{1}{2}\:units[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle 2\frac{1}{2}\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{2\frac{1}{2}} = \frac{\frac{\pi}{2}}{\frac{\pi}{5}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(\frac{\pi}{5}x - \frac{\pi}{2}) + 3.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph approximately hits [tex]\displaystyle [-10, 3],[/tex]from there to the y-intercept of [tex]\displaystyle [0, 3],[/tex]they are obviously approximately [tex]\displaystyle 10\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 10.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 3,[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

**Now, the minimum value is the lowest possible value the graph touches, and in this case, the graph's lowest peaks cycle around [tex]\displaystyle y = 1,[/tex]therefore the minimum of his sinusoidal function is [tex]\displaystyle 1.[/tex]

I am delighted to assist you at any time.

Answer:

8

Step-by-step explanation:

Given that

19 + 7 divided by 2 - 5

So if we solve this we have to apply proper brackets

= (19 + 7) ÷ 2 - 5

= 26 ÷ 2 - 5

= 13 - 5

= 8

After solving this the answer is 8

Answer:

nudaw HAHABSASASNA

Step-by-step explanation:[tex]x^{2} g[/tex]

hggggguuuuugs berte bhu jira yuwa

Answer:

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

Step-by-step explanation:

Let

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

1. The company used 100.5 liters of real fruit juice, then

2. Drink A:

x = amount of real fruit juice used

percentage of real fruit juice

Then

5x = amount of drink A produced

Drink B:

y = amount of real fruit juice used

percentage of real fruit juice

Then

amount of drink B produced

The company makes 30 more liters of Drink A than liters of Drink B, so

The system of two equations is

Answer:

Step-by-step explanation:

∠BEC is supplementary with ∠BEA

Find the measure of ∠BEA

Supplementary angles sum to 180°

Correct choice is D

Answer:

4 and 3

4 and 5

4 and 6

3 and -8

-4 and -21

4 and 36

4 and -7

Step-by-step explanation:

1)

4 + 3 = 7

4 × 3 = 12

2)

4 + 5 = 9

4 × 5 = 20

3)

4 + 6 =10

4 × 6 = 24

4)

3 - 8 = -5

3 × (-8) = -24

5)

-4 - 21 = -25

-4 × (-21) = 84

6)

4 + 36 = 40

4 × 36 = 144

7)

4 - 7 = -3

4 × (-7) = -28

Answer:

A

Step-by-step explanation:

Area of pentagon = Area of parallelogram - area of triangle

                              = (base * height ) - [tex]\frac{1}{2}*b*h[/tex]

                              = (7 * 6) - [tex]\frac{1}{2}[/tex] * 3 * 3

Answer:

100 miles

Step-by-step explanation:

7.50-2.50=5.00

100x0.05=5.00

Answer:

2.9 miles or 3 miles

Step-by-step explanation:

1. Add 2.50 & 0.05 (dont forget to line up the decimals!)

2. Divide 7.50 & 2.55

3. You then get your final answer. ( round to the nearest tenths-)

A- im sorry if this is wrong T-T

Answer:

Answer below

Step-by-step explanation:

right

acute

i believe this is correct :)

Answer:

x = -3

Step-by-step explanation:

3x - 21 = 2x - 24

3x = 2x - 3

x = -3

Answer:

x = 45

Step-by-step explanation:

First, we need to use the distributive property on both sides of the equation. We multiply the number outside of the parentheses by every term inside the parentheses.

3(x - 7) = 2(x - 12)

3x - 21 = 2x - 24    

From here, we solve for x.

3x - 21 = 2x - 24

x - 21 = 24                 (Subtract 2x from both sides)        

x = 45                       (Add 21 to both sides)

Answer:

there are not solutions because they never cross each other

Answer:

A because 11 +12 is 23 and A is the closest

Answer:3

Step-by-step explanation : because i division

Answer:

1-8/27

Step-by-step explanation:

[tex](\frac{2}{3})^3=\frac{8}{27}[/tex]

[tex](\frac{3}{4})^0=1[/tex] (anything to the zeroth power is 1)

[tex]1+\frac{8}{27}=1\frac{8}{27}[/tex]

We cannot simplify, so 1-8/27 is our answer.

Hope this helps. Have a nice day.

Answer:

B - symmetrical

Step-by-step explanation:

Skewed grams and Uniform graphs are waaaay different

Skewed is basically all of it is tyo the left or right

Uniform is everything about the same level

Answer:

15/8

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

41 years approx

Step-by-step explanation:

Given data

P=  £3000

R=3%

Simple Interest= £3720

Time=???

We know that from the simple interest expression

SI= PRT/100

substitute

3720= 3000*3*T/100

Make T subject of the formula

T= 3720*100/3000*3

T= 372000/9000

T= 41.33

Hence the number of years is 41 years approx

Answer: 5040

Step-by-step explanation: There are 4 sides which is equal to 1260, 1260 x 4 = 5040

Answer:

9(2x-1)

Step-by-step explanation:

common factor of both 9 and 18 is 9

thus, you can take a 9 out

9(2x-1)

(to check if it is correct, you can expand it, and if it is the same as original then it is correct )

Answer:

9 (2x-1)

Step-by-step explanation:

Grouping

1. Common factor:

18x-9

Solution:

9 (2x-1)

Answer:

whats your question? its hard to answer a question without info man

Step-by-step explanation:

Step-by-step explanation:

33+13+90=136+?=180

136-180=44

X=44

Answer:

Ranger station 2 is closer by 3.47 miles

Step-by-step explanation:

tan(46)=O/9.8

O (ranger station 2 to distress call)=10.15 miles

sin(46)=9.8/H

H (ranger station 1 to distress call)=13.62 miles

13.62-10.15=3.47 miles

So, ranger station 2 is closer by 3.47 miles

Answer: 7

Step-by-step explanation: because 45 divided by 6 is 7.5

Answer:

2 is the slope

you have to use this: y2-y1

                                     x2-x1

y2= 5  y1= 3

x2= 2  x1= -1

5-3=2

2-1=1

Answer:

x=30

Step-by-step explanation:

180-55=125

5x-25=125

125+25=150

5x=150

5/150=30

x=30

It's rational because it contains a repeating digit pattern, 743 (first option).

In particular, if

x = -6.743743…,

then

1000x = -6,743.743743… .

Subtracting, we can eliminate the trailing end and solve for x exactly:

1000x - x = -6,743.743743… - (-6.743743…)

999x = -6,737

x = -6,737/999

Answer:   512m³

Step-by-step explanation:

v = whl

The volume for left building:

v = w x h x l

v = 4 x 10 x 8

v = 320 m³

The volume for right and lower building:

v = w x h x l

v = 8 x 4 x 6

v = 192 m³

The total volume for the entire Charter School is: 320m³ + 192m³ = 512m³