I don’t know if this is enough but please help me

Answer:

a) Hence the equation of the sinusoidal function that describes the height of the shorts in terms of time is [tex]y = 9 + 7* sin(\pi * t / 15 - \pi / 6)[/tex]

b) Hence the height of the shorts at exactly t = 10 minutes, to

the nearest tenth of a meter is 5.5 meters

Step-by-step explanation:

a) The wind turbine blade traverses a circular path as it rotates with time (t), whose time variation is given by the following trajectory equation :

[tex]x^2 + (y-yc)^2 = R^2[/tex] ,

where  

R = (16 m - 2 m)/2 (since diameter = maximum height - minimum height of the pink short)

= 14 m / 2

= 7 m (radius of the circle)

Also, center of the circle will be at (0, 2 + R) i.e (0,9)

So,  is the trajectory path equation to the circle

Let [tex]x = 7* cos(w*t + \phi ) & y = 9 + 7* sin(w* t + \phi)[/tex] be the parametric form of the above circle equation which represent the position of the pink shorts at the tip of the blade at time t  

At t= 10s, y = 16 m so we have,

[tex]9 + 7 * sin(10* w + \phi) = 16[/tex] ---------------(1)

Also, at t= 25s, y =2 m so we have,

[tex]9 + 7* sin(25 * w +\phi) = 2[/tex]--------------(2)

Solving we have, [tex]10* w + \phi = \pi/2 & 25*w + \phi = 3*pi/2[/tex]

[tex]15* w = \pi\\\\w = \pi/15 & \phi = \pi/2 - 10*\pi/15 = -\pi / 6[/tex]  

Therefore [tex]y = 9 + 7* sin(\pi * t / 15 - \pi / 6)[/tex] is the instantaneous height of the pink short at time t ( in seconds)

b) At t= 10minutes = 10 * 60 s = 600s, we have,

[tex]y = 9 + 7 * sin(\pi * 600/15 - \pi / 6)\\\\= 9 + 7 * sin(40* \pi - \pi / 6)[/tex]

= 5.5 meters (pink short will be at 5.5 meters above ground level at t= 10 minutes)

Answer:

graph b is your answer

Step-by-step explanation:

I hope this help and have a great day

Answer:

The answer is B.

Step-by-step explanation:

Answer:

1) 20

2) 60

3) 10

4) 90

Step-by-step explanation:

1. first quartile is the beginning of the box

2. third quartile is the end of the box

3. lowest is the first point of the graph

4. vice versa of 3

Step-by-step explanation:

A n L =null

A U L= a,b,c,e,k,j

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Whenever she began to drive farther east, at 70 km per hour, Prachi was 5 km east of her home.

Let f(n) at the beginning of her nth hour drive be Prachi's distance to her home.

f is a sequence of arithmetic.

Write a series explicit form.

[tex]\to f(n) = 70n + 5[/tex]

Answer:

Arithmetic Sequence, f(n)=5+70(n-1)

Step-by-step explanation:

checked on khan

y = x^2 - 2x - 3

Factored Form: y = (x - 3)(x + 1)

X-Intercepts: (3, 0) and (-1, 0)

Axis of Symmetry: x = 1

Vertex: (1, -4)

Domain: All Real Numbers (or negative infinity to infinity)

Range: y > -4

Hope this helps!

Answer:

98

Step-by-step explanation:

1) You shulduse the formula x^2-y^2= (x-y)(x+y)

That obvious, that 9.9 is considered as x, and 0.1 as y

2) So  9.9²- 0.1²​= (9.9-0.1) * (9.9+0.1)=9.8*10=98

Answer:

A. 132 + 22h > 264

Step-by-step explanation:

Hourly sales = 22 glasses of fruit punch

Sales by 4 p.m = 132 glasses

Goal = more than 264 glasses

h = number of hours they must stay open to make their goal

The inequality:

132 + 22h > 264

22h > 264 - 132

22h > 132

h > 132/22

h > 6 hours

This means, the number of hours they must stay open to make their goal of more than 264 glasses is more than 6 hours

Answer:

The answer is "They are skew and will never intersect".

Step-by-step explanation:

Please find the graph file in the attachment.

In the given scenario, since the two lines are neither parallel nor intersect, these are skewed. Each line will be in a parallel plane, therefore prevents them from crossing each other. Parallel indicates traveling in the same direction, but not converging or diverging.

Answer:

A or ,They are skew and will never intersect.

Step-by-step explanation:

edge 2021

Answer:

y= -3x+5

Step-by-step explanation:

firstly find the gradient given by the formula

m=y2-y1/x2-x1

so in this case y2 is -10,x2 is 5,y1 is -1 and x1 is 2

m= -10+1/5-2

m= -9/3

= -3

after finding the gradient use the equation

y-y1=m( x-x1)

y+1= -3(x-2)

y+1= -3x+6

y= -3x+6-1

y= -3x+5

I hope this helps

Difference between a 1 inch button and ⅜ inch button

[tex] = 1 \: inch - \frac{3}{8} \: inch \\ = \frac{8}{8} \: inch - \frac{3}{3} \: inch \\ = \frac{(8 - 3)}{8} \: inch \\ = \frac{5}{8} \: inch[/tex]

Answer:

5/8

Step-by-step explanation:

To determine the difference, we do:

1 - 3/8

8/8 - 3/8

5/8

A 1 inch button is 5/8 inches longer than a 3/8 inch button.

Answer: its going to be 3 dollars and 67 cents

Step-by-step explanation:

The steps to create attached screenshot of the inscribed circle of triangle ΔABC using GeoGebra tools includes;

1) Clicking on the Geometry link, under Powerful Math Apps group

2) On the opened Geometry page click on the Polygon icon and follow the instructions that come up, which is Select all vertices and then the first vertex (selected) again (a second time)

3) Once the triangle is created, select the Angle Bisector icon, under the Construct group; A message will appear, asking to Select three points or two lines, select three vertex, of the triangle created with a mouse click, with the vertex A in the center, such as BAC, or CAB a straight line representing the angle bisector of angle ∠A is created

4) Repeat the above to create the angle bisector of angle ∠B

5) Click on the Point button under the Basic Tools group, then click on the intersection of the two angle bisectors created above, the point will be automatically labelled point D

6) Click on the Perpendicular Line, icon under the Construct group, then click on point D, and then the line AB to draw the perpendicular from D to AB

7) Click on the point Point icon and then the intersection point of the perpendicular from D and AB to label the point E

8) Click on the Circle with Center basic tool and then points D and E above, to create the inscribed circle of triangle ΔABC

9) Select the Segment tool, then select the center of the circle and a point

on the circumference. Click on the label, from the pop up options, select

the label option AA then change the label of the segment created to Radius

and select Show Label and Show Value. The inscribed circle of ΔABC created with GeoGebra tools is attached

Learn more about GeoGebra hear;

https://brainly.com/question/10400398

Answer:

Step-by-step explanation: from edmentum

Answer:

800

Step-by-step explanation:

0℅ decrease of 800=800

==========================================================

Explanation:

HL stands for Hypotenuse Leg. This rule works only for right triangles.

So we must have two hypotenuses that are congruent, and we must have two legs that are congruent

The diagram shows that AB = DE are the congruent hypotenuses. So we have "H" taken care of. We just need the "L" portion.

We can see that only choice D works, which is AC = EC. If we knew that AC and EC were the congruent legs, then we have enough info to use HL.

Step-by-step explanation:

C1:

The pattern for this: you add 1/2 every time.

C2:

3, 3 1/2, 4, 4 1/2

C3:

5 1/2

C4:

The 14th

C5:

10

D1:

You add twice as more than you did before, starting at 3.

D2:

48, 96, 192, 384

D3:

192

D4:

The 9th

D5:

384

Hope this all helps.

Answer:

C)

1) As the sequence progresses, each term in the sequence increases by 1/2.    2) 3 ; 3 1/2 ; 4 ; 4 1/2

3) The 10th term in the sequence is 5 1/2.

4) 7 1/2 is the 14th term in the sequence.

5) The 17th term is 9.

D)

1) As the sequence progresses, each term multiplies by 2.

2) 48 ; 98 ; 192 ; 384

3) The 7th term in the sequence is 192.

4) 768 is the 9th term in the sequence.

5) The 8th term in the sequence is 384.

Step-by-step explanation:

FOR C : 1 + 1/2 = 1 1/2, 1 1/2 + 1/2 = 2, 2 + 1/2 = 2 1/2, and so on. This pattern tells me the rule of the sequence. Continue this sequence to answer 1, 2, 3, 4, and 5.

FOR D: 3 x 2 = 6, 6 x 2 = 12, 12 x 2 = 24, and so on.  This pattern tells me the rule of the sequence. Continue this sequence to answer 1, 2, 3, 4, and 5.

Answer:

a^2 + b^2 = c^2

4+16 = c^2

20 = c^2

c = [tex]\sqrt{20}[/tex] = [tex]2\sqrt{5}[/tex]

Step-by-step explanation:

Answer:

11,5,-2

is the answer. I hope it will help you.

7^4/7^0

= 7^4/1 (n^0 = 1)

= 7^4

Must click thanks and mark brainliest

Answer:

Out of those choices, the answer in the first image makes the most sense

Answer:

k=8

Step-by-step explanation:

We can solve using the slope formula

m= (y2-y1)/(x2-x1)

3/5 = (k-2)/(4- -6)

3/5 = (k-2)/(4+6)

3/5 = (k-2)/10

Multiply each side by 10

10*3/5 = (k-2)/10 *10

6 = k-2

Add 2 to each side

6+2 = k-2+2

8 = k

Answer:

19.1

Step-by-step explanation:

Answer:

x ≈ 19.1

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos33° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{16}{x}[/tex] ( multiply both sides by x )

x × cos33° = 16 ( divide both sides by cos33° )

x = [tex]\frac{16}{cos33}[/tex] ≈ 19.1 ( to the nearest tenth )

Answer:

1365 rupees

Step-by-step explanation:

1. Approach

The easiest method to solve this problem is via the method of proportions. One can use a proportion to find the original price of the watch. Then one can find the price of the watch if the watch had a (30%) mark up, by using a proportion.

2. Find the original price

Remember, the general format of a proportion is the following:

[tex]\frac{part}{total}=\frac{percent}{100}[/tex]

The following information is given:

The watch sold for (1260) rupees which is (120%) of the original price. Remember, there was a (20%) gain, meaning that the seller recovered (120%) of the price, in essence, the price of the watch, plus (20%) extra, thus (120%). Substitute these values into the proportion and solve,

[tex]\frac{part}{total}=\frac{percent}{100}[/tex]

[tex]\frac{1260}{total}=\frac{120}{100}[/tex]

Simplify,

[tex]\frac{1260}{total}=\frac{120}{100}[/tex]

[tex]\frac{1260}{total}=\frac{6}{5}[/tex]

Cross product,

[tex]\frac{1260}{total}=\frac{6}{5}[/tex]

[tex](5)(1260)=(6)(total)[/tex]

Simplify,

[tex](5)(1260)=(6)(total)[/tex]

[tex]6300=6*total[/tex]

Inverse operations,

[tex]6300=6*total[/tex]

[tex]1050=total[/tex]

3. Find the price if the mark up is (30%)

Now, one knows the original price of the watch. Set up a proportion to find the price of the watch if there is a (30%) mark up. Use the same logic to set up this proportion as was used to set up the last one. The (percent) will be (130%) because the new price of the watch is (130%) of the original watch.

[tex]\frac{part}{total}=\frac{percent}{100}[/tex]

Substitute,

[tex]\frac{part}{total}=\frac{percent}{100}[/tex]

[tex]\frac{part}{1050}=\frac{130}{100}[/tex]

Simplify,

[tex]\frac{part}{1050}=\frac{130}{100}[/tex]

[tex]\frac{part}{1050}=\frac{13}{10}[/tex]

Cross products,

[tex]\frac{part}{1050}=\frac{13}{10}[/tex]

[tex](10)(part)=(13)(1050)[/tex]

Simplify,

[tex](10)(part)=(13)(1050)[/tex]

[tex]10*part=13650[/tex]

Inverse operations,

[tex]10*part=13650[/tex]

[tex]part=1365[/tex]

Thus, the price after the (30%) is (1365) rupees.

Answer:

B and C

Step-by-step explanation:

A = 192

B = (563 - 200) + 8 = 371

C = 571 - 200 = 371

Answer:

D

Step-by-step explanation:

graph it

do you need to include the wiggle infront of the first bracket? if not;

(x+1) ÷ [(x^2+2) x (2x-3dx)]

x^2 x 2x = 2x^3

x^2 x -3dx = -3dx^3

2 x 2x = 4x

2 x -3dx = - 6dx

i cant find a way to make it equal 0 so i think the answer is just

x+1 over 2x^3 - 3dx^3 + 4x - 6dx as a fraction