Valeria is playing with her accordion. The length of the accordion A(t)A(t)A, left parenthesis, t, right parenthesis (in \text{cm}cmstart text, c, m, end text) after she starts playing as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\cos(b\cdot t)+da⋅cos(b⋅t)+da, dot, cosine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, when she starts playing, the accordion is 15\text{ cm}15 cm15, start text, space, c, m, end text long, which is the shortest it gets. 1.51.51, point, 5 seconds later the accordion is at its average length of 21\text{ cm}21 cm21, start text, space, c, m, end text. Find A(t)A(t)A, left parenthesis, t, right parenthesis. \textit{t}tstart text, t, end text should be in radians.

Answer:

[tex]Height = 15[/tex]

[tex]Base = 45[/tex]

Step-by-step explanation:

Given

Shape: Rectangle

[tex]Perimeter = 120cm[/tex]

[tex]Base = 3 * Height[/tex]

Required

Determine the dimensions

The perimeter of a rectangle is:

[tex]Perimeter = 2 * (Base + Height)[/tex]

Substitute 120 for Perimeter

[tex]120 = 2 * (Base + Height)[/tex]

Divide both sides by 2

[tex]60 = Base + Height[/tex]

Substitute 3 * Height for Base

[tex]60 = 3 * Height + Height[/tex]

[tex]60 = 3Height + Height[/tex]

[tex]60 = 4Height[/tex]

Divide both sides by 4

[tex]15 = Height[/tex]

[tex]Height = 15[/tex]

Substitute 15 for Height in [tex]Base = 3 * Height[/tex]

[tex]Base = 3 * 15[/tex]

[tex]Base = 45[/tex]

Answer:

The length of other wall is 3 meters.

Step-by-step explanation:

Given that:

Length of one wall = 4 meters

Length of diagonal from one corner to opposite corner = 5 meters

As the room is rectangular, the diagonal will form a right angled triangle.

The diagonal will be the hypotenuse.

Using pythagorean theorem;

[tex]a^2+b^2=c^2[/tex]

Here,

a = 4 and c = 5

[tex](4)^2+b^2=(5)^2\\16+b^2=25\\b^2=25-16\\b^2=9[/tex]

Taking square root on both sides

[tex]\sqrt{b^2}=\sqrt{9}[/tex]

b = 3 meters

Hence,

The length of other wall is 3 meters.

Answer: $8.19

Step-by-step explanation: Times 565 by 1.45% and that's what you get.

Answer:

The answer is $8.19

Step-by-step explanation:

Answer:

about 30 km. If it wasn't estimated, it would be 30.8994048 km.

Answer:

12

Step-by-step explanation:

Answer:

There are 5 8-point questions and 15 4-point questions

Step-by-step explanation:

20.4= max points 80 limit of points = 100

20.8= max points 160

100:4= max 25 questions limit of questions = 20

100:8= max 12,5 question

5.8=40

15.4=60

There are 5 bubble grid questions and 15 multiple choice questions.

Two or more expressions with an Equal sign is called as Equation.

Let,

Multiple choice questions denoted by M

Bubble grid questions are denoted by B

A 20-question math test is worth 100 points.

M+B=20..(1)

Multiple choice questions worth 4 points each. Bubble grid questions are worth 8 points each.

4M+8B=100..(2)

From equation 1,

M=20-B

4(20-B)+8B=100

80-4B+8B=100

80+4B=100

Subtract 80 from both sides

4B=20

Divide both sides by 4

B=5

Now plug in B value in equation 1.

M+5=20

Subtract 5 from both sides

M=15

Hence, there are 5 bubble grid questions and 15 multiple choice questions.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

5,30

Step-by-step explanation:

1325:5=2,65

265.2=530

Answer:

It is 530

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Answer:

I think 3 upon 4/ 3 by 4 is right answer

Answer:

Step-by-step explanation:

Sum of angles in a triangle is 180 degrees

180-40-60 = 80

80 degrees

80 degrees is an acute angle.

Answer:

It would be 80 degrees which is an acute angle

Step-by-step explanation:

A triangle is 180 degrees in total 60 degrees + 40 degrees is 100 degrees leaving you with 80 degrees its acute because, 0 degrees to 90 degrees is an acute angle. Hope this helped!

Answer:

I do not know

Step-by-step explanation:

I guess because negative represents going down :/

Answer:

y=8(x+8)^2-464

Step-by-step explanation:

hope this helps

Answer:

1178 inches

Step-by-step explanation:

Using the triangle I drew (assuming n is across from ∠N), we can conclude that ∠O = 180-97-32 = 51 as the angles in a triangle add up to 180.

Using the law of sines, we can conclude that

[tex]\frac{o}{sinO} = \frac{n}{sinN} \\[/tex]

Plugging our values in, we get

[tex]\frac{o}{0.78} = \frac{800}{0.53}[/tex]

Multiply both sides by 0.78 to get

[tex]o = \frac{800*0.78}{0.53} = around 1177.5[/tex]

round up to get 1178 as our answer

Answer:

(x-4) (x-4)

Step-by-step explanation:

foil [first, outside, inside, last]

x^2 -8x = 16

(x-4) (x-4) = x^2 -4x -4x +16 = x^2 -8x +16

Answer: (x-4) (x-4)

Step-by-step explanation:

I have done this before!

Answer:

square root of 65 or 8.06

Step-by-step explanation:

(x-2)^2+(y-7)^2+65

hope this helps

The length of radius is 7.81 unit.

The distance between two points P(a, b)a nd Q(c, d) is

D = √(c- a)² + (d- b)²

Given:

Center at (-2,7) if a point on the circle has coordinates (3,-1).

Using Distance Formula

D = √( 3-(-2))² + (1-7)²

D = √ (3 +2)² + (-6)²

D = √5² + 36

D = √25+36

D = √61

D= 7.81 unit

Hence, the length of radius is 7.81 unit.

Learn more about distance formula here:

https://brainly.com/question/28956738

#SPJ2

14.3x0.5 =7.15  all you have to do is line them up or do it old fashion way

Answer:

[tex]8+c\le15[/tex]

Answer:

116

Step-by-step explanation:

Pemdas so do the 10 × 12 first... you get 120 the you go left to right so 3 + 120 = 123... subtract 7 from that and you get 116.

Answer:

A, (Hope that was correct)

Step-by-step explanation:

Answer:

y is equal to nine and two thirds, or 9.666...

Step-by-step explanation:

To solve this, we first need to know the value of x.  We can see though that x + (x - 12) is equal to 180 degrees, so:

x + 5x - 12 = 180

6x = 192

x = 32

Now that we have x, we can use the same rule to solve for y:

3y - 8 = x

3y - 8 = 32

3y = 40

y = 40 / 3

So y = 40/3, or 9 and 2/3

Bonus:

I almost wonder if the question was printed incorrectly, as the answer would have been a nice tidy integer if the other corner was 3y + 8 instead of 3y - 8.

If that were the case we'd have:

3y + 8 = 32

3y = 24

y = 8

A nice clean answer

To be clear, this last bit is NOT the correct answer, just an observation. If the book tells you that eight is the answer, then the question is misprinted.

(sqrt2 - sqrt6)/4 = - 0.259

cos ((7pi)/12) = cos 105 = - 0.259

Answer:

D. sprt2 - sqrt6/4

Step-by-step explanation:

If you mean the answer for edg that's what it is.

Hope that helps

Answer:

143

Step-by-step explanation:

Answer: I think for number A 3+5x2=X

I’m not sure about B tho

Step-by-step explanation:

You add 3+5 then you multiply it by 2 cause it twice as large

Answer:

there is no picture?

Step-by-step explanation:

Answer:

The lines intersect, but they're not parallel or perpendicular.

Answer:

Final cost of the item is $19.55

Step-by-step explanation:

Expression representing the final cost of an item with original price = $p and discount = 15% will be,

Final cost = (p - 0.15p)

If the original price p = $23

By substituting p = 23 in the expression given,

Final cost after discount = 23 - (0.15)23

                                         = 23 - 3.45

                                         = $19.55

Therefore, final cost of the item is $19.55

Answer:

<

Step-by-step explanation:

Answer:

x = 80

y = 100

Step-by-step explanation:

First, we need to figure out how many degrees there are in total in the inside of the polygon. There are 7 sides, so now let's use the formula to find out the total degrees.

(n - 2) * 180

"n" is the amount of sides.

(7 - 2) * 180 =

5 * 180 =

900

The total degrees is 900.

Now, we have to add all the sides in the inside to form an equation to solve for y.

y + 135 + 140 + 150 + 120 + 135 + 120 = 900

y + 800 = 900

y + 800 - 800 = 900 - 800

y = 100

Now, we know that x and y are supplementary angles. So the sum of x and y is 180. We can use that to create an equation to solve for x!

x + y = 180

x + 100 = 180

x + 100 - 100 = 180 - 100

x = 80

Therefore, x = 80 and y = 100

Hope this helped! <3

Answer:

1-   1+2+3+4+5 = 15

Step-by-step explanation: