Answer:
the answer is 48
Step-by-step explanation:
[tex] \sf \large \: find \: \frac{dy}{dx} \: if \: x=a ( \Theta + sin \Theta ) , y= a (1- Cos \Theta ) \: at \: \Theta = \frac{π}{2} \\ \\ \\ \\ \\ [/tex]
Kindly Don't Spàm!
Thanks!!!!
Given :
[tex] \: \: \: [/tex]
[tex] \rm \large \: x = a ( \Theta + Sin \Theta )[/tex][tex] \: \: \: [/tex]
[tex] \rm \large y = a ( 1 - cos \: \Theta )[/tex][tex] \: \: [/tex]
Now , x = a ( θ + sin θ )
[tex] \: \: [/tex]
Diff w.r.t " θ "
[tex] \: \: \: [/tex]
[tex] \rm \large\frac{dx}{dθ } = a \: \frac{d}{dθ} (θ + \sin\theta )[/tex][tex] \: \: [/tex]
[tex] \boxed{ \rm \large\underline{ \frac{dx}{d \theta} = a(1 + \cos \theta ) }}[/tex][tex] \: \: [/tex]
Now y = a ( 1-cosθ)
[tex] \: \: [/tex]
Diff w.r.t " θ " we get .
[tex] \: \: [/tex]
[tex] \rm \large \frac{dy}{d \theta} = a \frac{d}{d \theta} (1 - cos \theta) [/tex][tex] \: \: \: [/tex]
[tex] \boxed{ \rm \large \underline{ \frac{dy}{d \theta} = a \sin \theta}}[/tex][tex] \: \: \: [/tex]
From eqn ( 1 ) & ( 2 )
[tex] \: \: [/tex]
[tex] \rm \large \frac{dy}{dx} = \frac{ \frac{dy}{d \theta} }{\frac{dx}{d \theta}} [/tex][tex] \: \: \: [/tex]
[tex] \: \: \: \rm \large = \frac{ \cancel{a} \: sin \theta}{ \cancel a \: (1 + cos \theta)} [/tex][tex] \: \: [/tex]
[tex] \rm \large \: = \frac{sin \theta}{1 + \cos \theta } [/tex][tex] \: \: \: [/tex]
[tex] \rm \large \: \frac{2 \sin( \frac{\theta }{2} ) cos\frac{\theta }{2} }{2 \: cos ^{2} \frac{\theta }{2}} \: \: ......(sin \: a \: = 2 \: sin \frac{a}{2} \: cos \frac{a}{2} 1 + \: cos \: a \: = 2cos ^{2} \frac{a}{2} )[/tex][tex] \: \: [/tex]
[tex] \rm \large \: \frac{dy}{dx} = \frac{sin \frac{ \theta}{2} }{cos \frac{ \theta}{2} } [/tex][tex] \: \: [/tex]
[tex] \rm \large \: \frac{dy}{dx} = tan \frac{ \theta}{2} [/tex][tex] \: \: [/tex]
[tex] \rm \large \: ( \frac{dy}{dx} ) = tan \frac{ \frac{ \theta}{2} }{2} [/tex][tex] \: \: [/tex]
[tex] \rm \large \: = tan( \frac{ \theta}{4} )[/tex][tex] \: \: [/tex]
[tex] \boxed{ \rm \large \underline{ ( \frac{dy}{dx} ) = \frac{\pi}{2} = 1}}[/tex][tex] \: \: [/tex]
Hope Helps!:)
I went to the store with $20. After buying all my groceries, I spent $15.87. How much money do I have left?
you would have 4.13 left
20-15.87=4.13
Answer:
The answer is $4.13
Step-by-step explanation:
It is easier to do this if we add two zeros at the end of 20 to make it 20.00 so the decimal places line up. Lets take it one place at a time. first is the hundreths, which is 0-7. This is not possible, so we borrow from the tenths, but the tenths is also a zero. The tenths zero has to borrow from the ones zero. Basically, the 2 in 20 becomes 1, and the zeros in the ones and tenths place become nines, and the last zero becomes 10. 10 minus 7 is 3, 9 minus 8 is 1, 9-5 is 4, and 1-1 is 0.
Hope this helps!
Write a numerical expression to represent the phrase.
5 more than the product of 12 and 8
Answer:
(12x8) + 5
Step-by-step explanation:
The product of 12 and 8 would be multiplication, so you can represent that as. (12x8) or 12x8.
Hello!
First of all, "the product" of 2 numbers means you multiply these 2 numbers.
Then, "5 more" means we add 5.
This is how the phrase "5 more than the product of 12 and 8" is written as a numerical expression:
(12×8)+5
[In case you need to simplify it]
96+5
101
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
3.
The height of a triangle is 4 inches shorter
than its base. The area of the triangle is 198
square inches. Find the dimensions of the
triangle
(system of equation) only 2 please thanks
Answer:
Base is equal to 22
Hight is equal to 18
Step-by-step explanation:
Because 22 × 18 ÷ 2 is equal to 198
Formula
Hight × base ÷ 2
Now say you invest the $7,500 and the highest interest rate you can find is 4.5% compounded annually,
but you would have to leave the investment in the account for a minimum of 4 years. If you decide to
wait 4 years to buy the car, how much more money will you have to save to buy a car at the $9,500
price? Use the compound interest formula A = P (1 + i)". (Round final answer to the nearest cent, but
otherwise don't round any intermediate values)
the answer is a i hope this helps
Step-by-step explanation:
hope this helps
What is 9 to the of 3
Answer:
729
Step-by-step explanation:
(05.05)
Describe the y-intercept and end behavior of the following graph:
Answer:
Y-Intercept: (0,-8), End behavior: Asymptote
Step-by-step explanation:
The y-intercept is where the line crosses the y axis, which would be (0, -8). The end behavior looks like an asymptote, but I'm not sure of how you would answer this.
what is (x^-2 y^10)^2/x^5 y^-3 using only positive exponents
Answer:
[tex] \frac{(x^{ - 2}{y}^{10})^{2} }{ {x}^{5} {y}^{ - 3} } \\ \frac{ {x}^{ - 4} {y}^{20} }{ {x}^{5} {y}^{ - 3 } } \\ {x}^{ - 9} {y}^{23} \\ \frac{ {y}^{23} }{ {x}^{9} } \\ ans \: c[/tex]
What is the five-number summary of this data set? {852, 687, 515, 986, 907, 784, 967, 685, 965} Drag the numbers into the boxes to correctly complete the five-number summary.
Answer:
Minimum: 515
Q1: 686
Q2: 852
Q3: 966
Maximum: 986
Step-by-step explanation:
Please help I'm giving 40 points.
Answer:
Please see explanation
Step-by-step explanation:
look at the photo
The perimeter of the triangular park shown on the right is 15x+2 . What is the missing length? The other two lengths are 5x-1 and 4x+4
Answer:
6x - 1
Step-by-step explanation:
Side 1: 5x - 1
Side 2: 4x + 4
Side 3: Unknown, y
Perimeter: 15x + 2
Perimeter = Side 1 + Side 2 + Side 3
15x + 2 = 5x - 1 + 4x + 4 + y
15x + 2 = 9x + 3 + y
6x - 1 = y
y = 6x - 1
Side 3 = 6x - 1
I need the answer please
Answer: sqrt(182)
Step-by-step explanation:
HELP!!!! I can’t figure this out
Answer:
A
Step-by-step explanation:
Find the area of the circle
Step-by-step explanation:
78.50 in^2 I am pretty sure
Answer:
78.50 in squared
Step-by-step explanation:
To find the area of a circle, you need to use the equation area = pi * r^2, or pie multiplied by the radius squared. The radius is half of the diameter, which means the radius is 5. 5 squared is 25. Pi times 5 is about 78.50 inches squared.
)Sammy is trying to determine how many triangles she can create out of a square grid that has a side of 10 inches. Use the image below to determine the area of the triangle and how many she can cut out.
Answer:
types of waves in physics
(Use distributive property)
6 (5x + 3)
Answer:
30x + 18
Step-by-step explanation:
Using distributive property, you can find the answer like so.
Multiply 6 and 5x first
6(5x + 3)
30x + 3
Now multiply 6 by 3
6(5x + 3)
30x + 18
Hope I explained this well to you. :)
Julio makes a scale drawing of the kitchen floor to determine how
many square feet of flooring he needs to buy. the scale of his drawing
is 1 inch:4 feet.
what is the area of julio's actual kitchen floor?
27
step 1 is to convert 3. to
step 2 is to convert 4. to
step 3 is to multiply each improper fraction by 4
step 4 is to multiply your answers to step 3 together to find the
answer
The scale drawing of Julio's kitchen would change the kitchen size
The actual area is 243 square feet
How to determine the actual area of Julio's kitchen?The parameters are given as:
Length = 4.5 inchesWidth = 3.375 inchesStart by converting the dimensions to feet using the scale ratio
Actual length = 4.5 inches/ (1 inch/ 4 feet) = 18 feetActual width = 3.375 inches/ (1 inch/ 4 feet) = 13.5 feetThe area is then calculated as:
Actual Area = Actual length * Actual Width
This gives
Actual Area =18 feet * 13.5 feet
Evaluate the product
Actual Area = 243 square feet
Hence, the actual area is 243 square feet
Read more about scale drawings at:
https://brainly.com/question/8975579
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:
Likes hamburgers Does not like hamburgers Total
Likes burritos 38 77
Does not like burritos 95 128
Total 134 71
Part A: What percentage of the survey respondents do not like both hamburgers and burritos? (2 points)
Part B: What is the marginal relative frequency of all customers that like hamburgers? (3 points)
Part C: Use the conditional relative frequencies to determine which data point has strongest association of its two factors. Use complete sentences to explain your answer. (5 points)
Answer:
A:
18.5%
B:
124 / 205
C:
75 / 113. 66.4% Strongest
49 / 92. 53.2% Middle
38 / 81 46.9% Weakest
75 / 113 is the strongest because it has the highest percentage fore the conditional relative frequencies. The others are weaker because they have as high of a percentage.
Step-by-step explanation:
The answers are shown below:
What is Conditional relative frequency?A conditional relative frequency compares a frequency count to the marginal total that represents the condition of interest.
a) Out of 205 people, 38 like neither, hence:
Percentage= 38/ 205 *100= 18.54%
b) Out of the 205 participants, 205 - 81 = 124 like hamburgers, hence:
= 124 / 205
=0.6049
c)The table is, dis considering the totals:
49 - 43
75 - 38
Due to the higher total, the data that has the strongest association of its two factors is liking hamburgers and not liking burritos.
Learn more about this concept here:
https://brainly.com/question/28011510
#SPJ2
solve ps brainliest!
Answer:
W = 17
Step-by-step explanation:
Hi! Ok so the equation is: 24=2w-10
24=2w-10 First add =10 to each side
10+24= 2w +10 -10 the tens on the right cancel.
34=2w then divide each side by negative two
(34/2)=(2/2)w can be simplified to 17=w
Ramona went to a theme park during spring break she was there for 7 hours and rode 21 rides at what rate did I Ramona ride rides in rides per hour
Answer:
57393487
Step-by-step explanation:
un kilo por hora espero que te ayude
Answer:
3 rides/hour
Step-by-step explanation:
Not sure what ^^ guy was saying... And I don't understand why?
The correct answer is number of rides / hours.
21 / 7 = 3
Jestions: 5
5. Which of the following fractions makes this statement true?
4
12
er
3
7
dio
2
7
4.
5
panol
7
12
Answer:
I believe 2/7
Step-by-step explanation:
When you make them the same denominator they look like 48/84 > 24/84 and that's how you get the answer
For a ride on a rental scooter, Felipe paid a $2 fee to start the scooter plus 12 cents per minute of the ride. The total bill for Felipes ride was $22.28. For how many minutes did Felipe ride the scooter?
Answer:
169 minutes
Step-by-step explanation:
First, deduct the fee:
22.28 - 2 = 20.28
Change the dollars into cents:
20.28 x 100 = 2028
Then divide the amount by 12 cents:
2028 / 12 = 169.
He rode it for 169 minutes or 2 hours and 49 minutes
Help literally fast at possibly
Answer:
Yes you want to do it again soon
Write a word problem to match the shaded fraction bar 3/4
Answer:
shaded part=3/4
unshaded part=1/4
Total=1
it takes 120 unit cubes to completely fill a rectangular prism. the prism is 10 units cubes high
how would i answer this ?
Answer:
12
Step-by-step explanation:
Well, I am pretty sure you are looking for the length.
Since area = length x width, I would say that you could divide as well.
120 = 10 x 12
I am pretty sure the length is 12.
:)
I need help
Imagine that you designed a firework. When the firework first explodes, it splits into eight sparkles. Each of those sparkles then explodes and splits into eight new sparkles.
How many sparkles would the second explosion produce? Explain how you determined your answer.
Answer:
8 x 8 = 64
Step-by-step explanation:
Just including the second explosion, each of the 8 sparks bursts into 8, that means 8 sparks were produced 8 times, or 8x8
Answer:
1 sparkle Burst it produces 8 sparkles so you say 8×8×8×8×8×8×8×8
what will be the answer to 20 x 20
Answer:
400
Step-by-step explanation:
you can do 2x2 and you get 4 then add the zeros
Help find tqs I’ll give brainlist
Answer:
91 degrees
Step-by-step explanation:
Angle RT = 46 degrees
Angle RU = 180 degrees
Angle RS = 89 degrees
So 46 + 89 = 135
180 - 135 = 45
So Angle UT = 45 degrees
Which means that Angle QR = 45 degrees also because they are vertical from each other
So you add 45 + 46 = 91
Angle TQS = 91 degrees
X2-7x+6; x2-5x-6 please help
Answer: (x−6)(x−1)(x+1)
Tina's teacher wrote 7/8 on the whiteboard. What percentage is equivalent to the fraction that Tina's teacher wrote on the whiteboard?
I think it's like 0.88, but I believe that's it rounded up.