find the surface area. round to the nearest hundredth when necessary.

Answer(s):

[tex]\displaystyle y = 4sin\:(x + \frac{\pi}{2}) - 1 \\ y = 4cos\:x - 1[/tex]

Explanation:

[tex]\displaystyle 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 -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 4[/tex]

OR

[tex]\displaystyle 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 -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 4[/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 cosine graph, if you plan on writing your equation as a function of sine, 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 = 4sin\:x - 1,[/tex] in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine 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 sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{2}\:unit[/tex] to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACK [tex]\displaystyle \frac{\pi}{2}\:unit,[/tex] which means the C-term will be negative, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.[/tex] So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 4sin\:(x + \frac{\pi}{2}) - 1.[/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 hits [tex]\displaystyle [0, 3],[/tex] from there to [tex]\displaystyle [2\pi, 3],[/tex] they are obviously [tex]\displaystyle 2\pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle 2\pi.[/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 = -1,[/tex] in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts horisontally, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

A linear graph is nothing but a straight line or straight graph which is drawn on a plane connecting the points on x and y coordinates.

Answer: is a diagram which shows a connection or relation between two or more quantity.

Step-by-step explanation:

Answer:

x= 20

Step-by-step explanation: 20+5 is 25 degrees 20 times 7 is 140-5 is 135 degrees +20 degrees equals 180 degrees

Answer:

Hello! answer: 1,200

Step-by-step explanation:

We know he pays 720 in a year so i divide that by 12 so... 720 ÷ 12 = 60 so he pays 60 each month for his telephone service since thats only 1/20 of his earning what I do is 60 × 20 and we get 1200 so craig makes 1200 a month hope that helps!

$1200, Craig earns each month.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Let's assume Craig earns $x per month.

The telephone bill is 1/20 of his monthly earnings, which is (1/20)x.

He pays a total of $720 each year for his telephone service.

Since there are 12 months in a year,

he pays (1/12) * 720 = $60 per month for his telephone service.

Therefore,

(1/20)x + $60 = x,

as he earns the same amount each month.

Simplifying the equation,

we get x/20 = $60

Multiplying both sides by 20,

we get x = $1,200

Therefore, Craig earns $1,200 per month.

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A option A

Step-by-step explanation:

according to if the binders its so important you need to buy it for $30 but its not really important buy for 16.80 and if you want to use for 1 time buy 7 binders but if you want to use much times buy for $30 and you need to see if that really care because you need to see if was a good material

Answer:

180

Step-by-step explanation:

[tex] sa = 2( \frac{1}{2} )(6)(4) + 10(5 + 5 + 6)[/tex]

[tex] = 24 + 10(16)[/tex]

= [tex]24 + 160[/tex]

[tex]180[/tex]

..................

hope it helps...

have a great day! ! !

Answer: total surface area would be 28.3310501 cm2 or 28.3 cm2 rounded to the nearest tenth

Answer:

11.70

Step-by-step explanation:

d=√((16-5)^2+(14-10)^2)=11.7046999...

Answer:

It's a right angle triangle with

                        [tex]tan 12 = \frac{500}{x} \\\\x = \frac{500}{tan12}\\\\x = 2352.3ft[/tex]

Answer:

5685.12

Step-by-step explanation:

well , I hope it helps

The number five thousand six hundred eighty-five and twelve hundredths in standard form can be written as 5685.12.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

The number five thousand six hundred eighty-five and twelve hundredths in standard form can be written as 5685.12.

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Answer:

A 20% tip plus the total of $53 would be $63.60

Step-by-step explanation: hope this helps<3

Add 150 to what he has in his account, then subtract the cost to fix the furnace.

400.56 + 150 = 550.56

550.56 - 450.50 = 100.06

He will have $100.06 in his account.

Step-by-step explanation:

11x-3=8x+15( inscribed angle on same arc are equal)

11x-8x=15+3

2x=18

x=9

now, angle ABD

measure of arc AD= 96/2 arc is half of inscribed angle)

The measure of the arc of the circle AD = ( 0.7 )πr

The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

where s is the length of the arc

r is the radius of the circle

Central Angle = 2 x Angle in other segment

Given data ,

Let the measure of the angle subtended by the arc be

The measure of ∠ABD = ( 11x - 3 )°

The measure of ∠ACD = ( 8x + 15 )°

And , the angle subtended by the same arc are same

So , ( 11x - 3 )° = ( 8x + 15 )°

On simplifying , we get

3x = 18

Divide by 3 on both sides , we get

x = 6

So , the measure of ∠ABD = 63°

Now , the measure of central angle = 2 x 63° = 126°

And , the length of the arc s = ( 0.35 ) x 2πr

Hence , the measure of arc AD = ( 0.7 )πr

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Answer:

The answer is still 15. Because

Answer:

arwa

Step-by-step explanation:

A scalene triangle has no equal length sides. It also has no equal inside angles. These triangles can be acute (all angles less than 90°), right-angled (one angle is 90°), or obtuse (one angle is more than 90°)

Answer:

Right scalene triangle

Step-by-step explanation:

Scalene triangles have no equal sides. A right scalene triangle has no equal sides, and one right angle.

Answer:

The second one I think

Step-by-step explanation:

Answer:

Center: (−3,2)

Radius: 3

Step-by-step explanation:

Answer:

x² + (y + 8)² = 49

Step-by-step explanation:

You didn't ask a question

Did you want the equation for the circle?

--------------------------

Standard form is

(x - h)² + (y - k)² = r²

using (h, k) = (0, -8)

x² + (y + 8)² = r²

use the area to find r²

a = πr²

49π = πr²

Divide both sides by π

49 = r²

Now the equation can be completed

x² + (y + 8)² = 49

Answer:

vertical line of symmetry. if you split the shape in the middle, the two pieces would be the same. it also has rotational symmetry because if you rotate it, it would still look the same and be the same shape.

It does not have horizontal or diagonal symmetry because if you split it those ways, the two pieces made will be different. Because it has rotational and vertical symmetry, it does not have "no symmetry"

Answer:

Your answer would be 1 x10^6.

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the.

The sign of the exponent will depend on the direction you are moving the decimal.

Hope that makes sense.

Answer:

Step-by-step explanation:

Nope<3;p

Answer:

The scale is 1:200

Step-by-step explanation:

On the plan we have the drawing as 6 cm

In real representation, we have the distance as 12 m

Firstly we have to convert to same unit

In this case, we use the cm for convenience

Mathematically, 100 cm is 1 m

Thus, 12 m

will be 12 * 100 = 1,200 cm

So, we have the ratio as;

6 cm : 1,200 cm

and that is 1:200 (since 6/1200 = 1/200 and in ratio form, we have that as 1:200)

Answer:

Maybe I think it is 4/11............

Answer:

936 square units.

Step-by-step explanation:

Area formula of trapezoid: [tex]A=\frac{a+b}{2}h[/tex]

given information:

   a = 40

   b = 64

   h = 18

plug them into the formula:

[tex]A=\frac{40+64}{2}\cdot 18[/tex]

[tex]A = 936[/tex]

Answer:

Long part= 45

Short part= 25

Step-by-step explanation:

Let the short part of the stick be x

Let the long part be x+20

The total length of the stick is 70cm

x + (x+20)= 70

x+x+20= 70

2x+20= 70

2x= 70-20

2x= 50

x= 50/2

= 25

Longer part length= 20+25

= 45

The short part is 25

Answer:

Yea you correct, you answer is right

[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]

C.) 64 to 66 seconds

because, the function is decreasing with respect to time between interval 64 to 66 seconds.

[tex]\#TeeNForeveR[/tex]

Answer:

( Hint)

Step-by-step explanation:

55-5= 5x>-25-5

50= 5x>-30

10=x>-6