Anshu says ‘Rohit uses Angle-Side-Angle criterion for construction of triangle ABC’. Is Anshu correct? Justify your answer.

The correct formula for the expression is,

⇒ f (x)  = - 6 cos (π/4.5x - 2π) + 2

Since, Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a function:

f(x) = a cos(bx + c) + d

Here a is the amplitude:

Since, The value of d is the average of maximum and minimum.

Hence,  d = (9 - 5)/2 = 4/2 = 2

And, The value of 'a' is the difference between the maximum value and d.

Hence,  a = -4 -(2) = - 6

Here, the half-period is,

= π - 3π/4) = π/4

=  b = 2π/9 = π/4.5

The value of c is the value makes the cosine zero at x= 9

⇒  (π/4.5)(9) +c = 0

⇒  c = -2π

Hence, Function is,

f (x) = - 6 cos (π/4.5x - 2π) + 2

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Answer:

The correct answer would be:

f (x) = - 6 cos (π/4.5x - 2π) + 2

Answer:

Step-by-step explanation:

Important fact: much as I hate to admit it, in all professional sports, there is no team that has made as many appearances in the sports final as the Canadiens.

The ratio you want is 10/32 = 5/16.

The ratio means that for every 5 appearances the rangers made, the Canadiens made 16 appearances.

In linear equation, 15% is percentage of students are faster than pat .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                            The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

             = (100 - 85 )%

             = 15%

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Answer:

11) x =9

12) x = -12

Step-by-step explanation:

16x + 4 = 110 + 3x+11

13x = 117

x = 9

95= x + 41 +x +78

-24 = 2x

x = -12

The unit of measurement for coding the length of lacerations d)centimeters.

Centimeters are the most common unit of measurement used to code the length of lacerations. This is because they are a small enough unit of measurement that they can accurately describe even the smallest of lacerations.

Centimeters are also the most commonly used metric unit of length, making them the most useful when coding lacerations for medical records. In addition, centimeters are a more precise unit of measurement than inches and are accepted internationally as a unit of measurement, making them the best choice when coding lacerations.

Finally, centimeters are consistent units of measurement, making it easy to compare laceration lengths between different patients and different medical records.

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Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

In triangles MNP and RSP, if there are two pairs of corresponding angles that are congruent or equal, it means that triangle MNP is similar to triangle RSP. The corresponding angles in both triangles are....

P corresponding to P

M corresponding to R

N corresponding to S

Therefore, the missing piece of information that Javier needs to prove that triangle MNP is similar to triangle RSP by the Angle-Angle Similarity Postulate is....

A. Javier needs to know the measure of angle P.

Answer:

He drove 6 hours.

Step-by-step explanation:

distance = rate times time

300 = 50t  Divide both sides by 50

t = 6

Answer:

Mean is greater

Step-by-step explanation:

For a skewed distribution, then the tail is longer to one side from the center than to the other. In a right skewed distribution, the tail is longer to the right.

When a distribution is skewed, the mean will be closer to the tail Than the median. Therefore. For a right skewed histogram, the mean is closer to the tail of the histogram and hence closer to the right. Once this happens, values closer to the right of a distribution are higher (number line). Thus the mean will be greater than the median.

The directional derivative of f at point p in the direction of the vector u is -38/√50.

Given, f(x, y) = x/y, p(5, 1),

u = 3 5 i 4 5 j,

We need to find the directional derivative of f at point p in the direction of the vector u.

To find the directional derivative of f at point p in the direction of the vector u, we need to follow the below steps:

Step 1:

Find the gradient of f(x, y) at point p(5, 1) by finding the partial derivatives of f with respect to x and y respectively.

∇f(x, y) = (df/dx, df/dy)df/dx

= 1/y and df/dy

= -x/y²∇f(5, 1)

= (df/dx, df/dy)

= (1/1, -5/1²)

= (1, -5)

Step 2:

Find the unit vector in the direction of u by dividing u by its magnitude.

||u|| = √(35² + 45²)

= √(1225 + 2025)

= √3250u/||u||

= (35i/√3250, 45j/√3250)

= (7i/√50, 9j/√50)

Step 3:

Find the directional derivative of f at point p in the direction of the vector u using the formula:

Directional derivative = ∇f(p) · (u/||u||)

where · denotes the dot product and ∇f(p)

= (1, -5)

Directional derivative = ∇f(p) · (u/||u||)

= (1, -5) · (7i/√50, 9j/√50)

= (7/√50) - (45/√50)

= -38/√50

Hence, the directional derivative of f at point p in the direction of the vector u is -38/√50.

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Rounded to four decimal places, the point estimate for p is approximately 0.3659.

To find the point estimate for the population proportion, we divide the number of students who own their cars by the total number of students surveyed.

In this case, out of 410 college students surveyed, 150 said they own their car. Therefore, the point estimate for p, the population proportion of students who own their cars, is:

Point Estimate = Number of students who own their cars / Total number of students surveyed

= 150 / 410

≈ 0.3659

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Answer:

SAS

Step-by-step explanation:

   SSS, as you used, is incorrect because we only have two of the sides. Luckily, if we look at our theorems, one of them includes two sides!

   These triangles are prooven similar with SAS. We have to two of the sides that are similar (as you have showed with your work in the photo), and we also have an angle. This angle comes from the vertical angles that show up as our triangles share a point.

                   I hope this helps, have a nice day! :D

Answer:

76%

Step-by-step explanation:

number of girls is 6

number of boys is 25-6=19

percentage of boys = number of boys ÷ total no of students * 100

so... (19÷25)*100=76%

Answer:20.9248 degrees

Step-by-step explanation:

sin(θ)=opposite/hypotenuse

      θ=sin⁻¹(opposite/hypotenuse)

      θ=sin⁻¹(5/14)

      θ=20.9248 degrees      or θ=0.3652 radians

Answer:

61 pages

Step-by-step explanation:

cuz you add up all the numbers by 40+10=50, and 9+2=11.

Answer:

Step-by-step explanation: basically ur gonna take 40(the pages) then u read 10 pages every day for 9 days. which is 40+10(9) =130

Answer:

A scalene triangle is a triangle in which all three sides have different lengths. Also the angles of a scalene triangle have different measures. Some right triangles can be a scalene triangle when the other two angles or the legs are not congruent.

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

The integral to be evaluated is ∬K (2c - ry) dA - xy, where K represents the domain {(x, y) ∈ R²: x ≤ y < 2x, x + y = 3}.

To evaluate this integral, we first need to determine the bounds of integration for x and y based on the given domain. From the equations x ≤ y < 2x and x + y = 3, we can solve for the values of x and y. Rearranging the second equation, we have y = 3 - x. Substituting this into the first inequality, we get x ≤ 3 - x < 2x. Simplifying further, we find 2x - x ≤ 3 - x < 2x, which yields x ≤ 1 < 2x. Solving for x, we find that x must be in the interval [1/2, 1].

Next, we consider the range of y. Since y = 3 - x, the values of y will range from 3 - 1 = 2 to 3 - 1/2 = 5/2.

Now, we can set up the integral as follows: ∬K (2c - ry) dA - xy = ∫[1/2, 1] ∫[2, 5/2] (2c - ry) dydx - ∫[1/2, 1] ∫[2, 5/2] xy dydx.

To evaluate the integral, we would need to know the values of c and r, as they are not provided in the question. These values would determine the specific expression for (2c - ry). Without these values, we cannot compute the integral or provide a numerical answer.

In summary, the integral ∬K (2c - ry) dA - xy on the domain K cannot be evaluated without knowing the specific values of c and r.

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It has been proved that the lines MN and PR are parallel because they have the same slope.

We are given the coordinates of the points P, Q and R as:

P(-3, -6)

Q(1, 4)

R(5, -2)

Since M is the midpoint of PQ, we have:

M = (-3 + 1)/2, (-6 + 4)/2

M = (-1, -1)

N is the midpoint of QR and so:

N = (1 + 5)/2, (4 - 2)/2

N = (3, 1)

Slope of MN = (1 + 1)/(3 + 1) = 1/2

Slope of PR = (-2 + 6)/(5 + 3)

Slope of QR = 4/8 = 1/2

Both slopes are equal and as such they are parallel lines

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Answer:

8

Step-by-step explanation:

The triangle is isosceles so the answer is either 3 or 8.

You might think there are 2 answers. There are not. The base is 3 inches and the two equal sides are 8 inches a piece.

If you say that there are 2 sides of 3 inches each, they add up to 6. They can't. Six is much smaller than 8 and so two sides of 3 don't even cover up the 8, let alone make a triangle.

Answer:

x=9

Step-by-step explanation:

The objective is to get x by itself, so to do that we need to subtract three from both sides:

x + 3 = 12

      -3    -3

12-3= 9.

So, x=9.

Hope this helped!

Answer: x=9

x+3=12

1x+3=12

      -3

   =9

1x =9    --->  1x/1   9/1

/1   /1    --->  1x/1   9/1

x=9

Step-by-step explanation:

sorry if this doesn't make sense

Answer:

Step-by-step explanation:

Equation

Let the angles measure = x

Let the complimentary angle = 90 - x

3x - (90 - x) = 46                      Remove the brackets

Solution

3x - 90 + x = 56                       Combine like terms on the left

4x - 90 = 56                             Add 90 to both sides

4x - 90 +90 = 56 + 90             Combine

4x = 146                                    Divide by 4

4x/4 = 146/4        

x = 36.5

Answer

The given angle is 36.5

Answer:

45 times

Step-by-step explanation:

I hope this helps

The height of a rider on the London Eye Ferris wheel in London can be modeled by the function h(t) = A * cos(B * t), where t represents time in minutes. The Ferris wheel stands 135 meters tall with a diameter of 120 meters. It takes half an hour (30 minutes) to complete one revolution.

1. At t = 0 minutes, the rider is not at the bottom of the wheel but at the midpoint of the wheel's diameter, so the rider's height is equal to the radius of the wheel, which is half of its diameter. Therefore, the rider's height at t = 0 minutes is 120/2 = 60 meters.

2. To determine the time it takes for the rider to reach the top, we need to find the period of the cosine function. The period (T) is the time it takes for one complete cycle of the function. In this case, the period is equal to the time it takes for the Ferris wheel to make a full revolution, which is 30 minutes. So, the rider reaches the top after half of the period, which is T/2 = 30/2 = 15 minutes. At that time, the rider's height is equal to the sum of the radius of the wheel and its height, which is 60 + 135 = 195 meters.

3. The period of the cosine function is T = 30 minutes.

4. The vertical shift of the function represents the average height of the rider throughout one complete cycle. In this case, the average height is the sum of the radius and the height of the Ferris wheel divided by 2, which is (60 + 135)/2 = 97.5 meters. Therefore, the vertical shift of the function is 97.5 meters. The amplitude of the function is half of the vertical distance between the maximum and minimum values, which is (135 - 60)/2 = 37.5 meters.

5. The equation of the cosine function is h(t) = 97.5 + 37.5 * cos((2π/30) * t). To find the rider's height at t = 21 minutes, we substitute t = 21 into the equation: h(21) = 97.5 + 37.5 * cos((2π/30) * 21) ≈ 185.11 meters.

In summary, the rider's height at t = 0 minutes is 60 meters. It takes 15 minutes for the rider to reach the top, at which point their height is 195 meters. The period of the function is 30 minutes. The vertical shift is 97.5 meters, and the amplitude is 37.5 meters. Using the cosine function, the rider's height at t = 21 minutes is approximately 185.11 meters.

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The gravitational potential energy of the vacationers will decrease as they approach the end of the pier.

As the vacationers approach the end of the pier, their gravitational potential energy will decrease.

Gravitational potential energy is the energy an object possesses due to its position in a gravitational field. It depends on the height of the object and the acceleration due to gravity.

In this scenario, as the vacationers walk out on the horizontal pier, their height above the ground remains constant. Since the height does not change, the gravitational potential energy also remains constant.

However, as they approach the end of the pier, their distance from the center of the Earth decreases. As a result, the gravitational potential energy decreases because it is directly proportional to the distance from the center of the Earth.

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Answer:

Cube root of 8/27 is 2/3

\( \sqrt{ \frac{8}{27} } \)

\( = \sqrt{ (\frac{2}{3} {)}^{2} } \)

\( = \frac{2}{3} \)

The NBA Hall of Famer you are referring to is Michael Jordan. Michael Jordan is a retired professional basketball player widely considered to be one of the greatest basketball players of all time.

During his career, Jordan won six NBA championships, five NBA Most Valuable Player awards, 10 scoring titles, and was named an NBA All-Star 14 times. He is also known for his numerous signature sneakers and his successful career off the court, including his ownership of the Charlotte Hornets NBA team.

The NBA stands for the National Basketball Association, which is a professional basketball league in North America. It is composed of 30 teams, 29 in the United States and one in Canada, and is considered to be the premier men's basketball league in the world.

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To calculate the compositions of the given functions:

(a) f∘g(x): To compute f∘g(x), we substitute g(x) into f(x), which gives us f(g(x)). Therefore, f∘g(x) = (g(x))^2 + 1(g(x)).

(b) g∘f(x): Similarly, for g∘f(x), we substitute f(x) into g(x), resulting in g∘f(x) = f(x) - 9.

(c) f∘f(x): To find f∘f(x), we substitute f(x) into f(x), giving us f∘f(x) = (f(x))^2 + 1(f(x)).

(d) g∘g(x): For g∘g(x), we substitute g(x) into g(x), yielding g∘g(x) = g(g(x)) = g(x - 9).

To obtain the final expressions, we substitute the respective functions f(x) and g(x) into the compositions f∘g(x), g∘f(x), f∘f(x), and g∘g(x).

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To calculate the compositions of the given functions:

(a) f∘g(x): To compute f∘g(x), we substitute g(x) into f(x), which gives us f(g(x)). Therefore, f∘g(x) = (g(x))^2 + 1(g(x)).

(b) g∘f(x): Similarly, for g∘f(x), we substitute f(x) into g(x), resulting in g∘f(x) = f(x) - 9.

(c) f∘f(x): To find f∘f(x), we substitute f(x) into f(x), giving us f∘f(x) = (f(x))^2 + 1(f(x)).

(d) g∘g(x): For g∘g(x), we substitute g(x) into g(x), yielding g∘g(x) = g(g(x)) = g(x - 9).

To obtain the final expressions, we substitute the respective functions f(x) and g(x) into the compositions f∘g(x), g∘f(x), f∘f(x), and g∘g(x).

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Answer:

41.7

Step-by-step explanation:

A = 6*4 = 24

B = 3.5 * (3.8-2) = 6.3

C = 3*3.8 = 11.4

A + B + C = 41.7

Answer:

Step-by-step explanation:

-6x + 5 ≥ 11

-6x ≥ 6

x ≤ -1