Which graph correctly shows the image of △ABC following a rotation of 90∘ clockwise about the origin?

IS IT A B OR C

PICK THE LAST 3 PICTURES ONE OF THEM IS THE ANSWER

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

to know more about unitary method

https://brainly.com/question/28276953

Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

4

Step-by-step explanation:

Answer:

c(x,y)/(x²+y²)

Step-by-step explanation:

Since E​(x,y) = -∇V (x,y ) and V(x,y) =c ln (ro/√ x²+y²)

Let ro/√(x²+y²) = u and √(x²+y²) = v

dV/du = c/u = c√(x²+y²)/ro,

du/dv =  -ro/(x²+y²) = -ro/² and dv/dx = x/√(x²+y²)

Using the chain rule,

So dV/dx = dV/du × du/dv × dv/dx

= c√(x²+y²)/ro × -ro/(x²+y²) × x/√(x²+y²)

dV/dx = -cx/(x²+y²)

- dV/dx = -(-cx/(x²+y²)) = cx/(x²+y²)

Also, dv/dy = y/√(x²+y²)

Using the chain rule

dV/dy = dV/du × du/dv × dv/dy

= c√(x²+y²)/ro × -ro/(x²+y²) × y/√(x²+y²)

dV/dy = -cy/(x²+y²)

- dV/dy = -(-cy/(x²+y²)) = cy/(x²+y²)

E(x,y) = -∇V (x,y )

= -(dV/dx)i + [-(dV/dy)]j

= [cx/(x²+y²)]i +[ cy/(x²+y²)]j

= c(x,y)/(x²+y²)

The figure given is a cylinder.

The volume of a cylinder is given by the formula:

From the data given

The height is given to be 15 inches

The volume is also given to be 7,959.9 cubic inches

pi is 3.14

Upon substituting the values into the equation to solve for r, we will obtain

Radius is 13 inches

The perimeter and volume of the given composite figure is:

Perimeter = 89 units

Volume = 216 cubic. units

The perimeter of the composite figure is defined as the boundary length around the composite figure.

Thus:

Perimeter = 4(6) + 4(5) + 5(9)

Perimeter = 24 + 20 + 45

Perimeter = 89 units

Now, volume of a cuboid = Length * Width * Height

Thus:

Volume of cuboid = (5 * 9 * 6) - (3 * 2 * 9)

Volume = 270 - 54

Volume = 216 cubic. units

Read more about Perimeter and Volume at: https://brainly.com/question/28047631

#SPJ1

Answer:

uhh what kinda class is that big- anyways

Step-by-step explanation:

jacks class

18:10

If you divide 18 by 10 you get 1.8

Micheals class

54:30

If you divide 54 by 30 you get 1.8

therefore neither. They are both equivalent

the Ratio of tall to short students in the Michels and jacks class is equal which is 1.8.

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.

Given, in jacks class 18 of the students are tall and 10 are short. in Michaels's class, 54 students are tall and 30 students are short.

The ratio of tall to short students in jacks class = 18/10 = 1.8

The ratio of tall to short students in Micheals's class = 54/30

The ratio of tall to short students in Micheals's class = 1.8

Therefore, the Ratio of tall to short students in the Michels and jacks class is equal which is 1.8.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ2

Answer:

94

Step-by-step explanation:

Answer:

The answer is 94.

Step-by-step explanation:

The answer is positive because a negative divided by a negative equals a positive.  

Based on the given data, it is MOST LIKELY TRUE that Mrs. Newton is likely moving to a higher grade level. This can be inferred because the median number of upper-level vocabulary words in her new library (9) is higher than the median in her old library (5), and the range of the number of upper-level vocabulary words is also greater in her new library (18) compared to her old library (10). These findings suggest that the books in her new library have a higher level of vocabulary and may be more appropriate for older or more advanced readers.

Answer:

456

Step-by-step explanation:

Product means an answer derived from multiplication.  Therefore, if the product is 155952, and one value is 342, then the following equation is true:

342x = 155952, or 342 * x = 155952

Divide 155952 by 342 to get: 456.

Check the work in the equation:

342(456) = 155952

155952 = 155952, which is true, so the answer is 456.

If I helped, please make this answer brainliest! ;)

Answer:

K = 151.9422481

Step-by-step explanation:

At the end of year 10, your perpetuity is worth 100/i

(1) is worth 90×s_{10%i}

So if you set them equal you get 90*[(1+i)^10 - 1]/i = 100/i or [(1+i)^10 - 1] = 10/9 or (1+i)^10 = 19/9 or i = 0.077583937

So now the question compare (1) to (2), at t = 0

(1) is worth 90×a_{10%i} = 90(1 - 1/(1.077583937)^10)/0.077583937 = 610.5441743

(2) is worth K×a_{5%i} = 4.018264714×K

Therefore K = 151.9422481

Given that f(x, y) is a linear function, and the constraints themselves are also linear, it follows that the vertices of the feasible region are the sites of extrema of f(x, y). So just find where each boundary line intersects with another line, and check the value of f(x, y) at each intersection.

We have

• x = 0 and y = 0   ===>   (0, 0)

• x = 0 and 2x + 7y = 70   ===>   y = 10   ===>   (0, 10)

• y = 0 and 8x + 4y = 136   ===>   x = 17   ===>   (17, 0)

• 2x + 7y = 70 and 8x + 4y = 136   ===>   (14, 6)

At these points, we respectively get

• f (0, 0) = 0

• f (0, 10) = 60

• f (17, 0) = 34

• f (14, 6) = 64

Then max f(x) = 64 at (14, 6) and min f(x) = 0 at (0, 0).

Answer:

3  ihink t

Step-by-step explanation:

Answer:

x = 4, -2

Step-by-step explanation:

x^2-2x=8

Move the constant term to the right side of the equation.

x^2 - 2x = 8

Take half of the coefficient of x and square it.

(-2/2)^2 = 1

Add the square to both sides of the equation.

x^2 - 2x + 1 = 8 + 1

Factor the perfect square trinomial.

(x - 1)^2 = 9

Take the square root of both sides of the equation.

x-1=\(\sqrt{9}\)
x-1=±3

Isolate x to find the solutions.

Taking positive

x=3+1=4

x=4

Taking negative

x=-3+1

x=-2

The solutions are:

x = 4, -2

Answer:

\(x = -2,\;\;x=4\)

Step-by-step explanation:

To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:

\(x^2-2x-8=8-8\)

\(x^2-2x-8=0\)

Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.

The two numbers whose product is -8 and sum is -2 are -4 and 2.

Rewrite the coefficient of the middle term as the sum of these two numbers:

\(x^2-4x+2x-8=0\)

Factor the first two terms and the last two terms separately:

\(x(x-4)+2(x-4)=0\)

Factor out the common term (x - 4):

\((x+2)(x-4)=0\)

Apply the zero-product property:

\(x+2=0 \implies x=-2\)

\(x-4=0 \implies x=4\)

Therefore, the solutions to the given quadratic equation are:

\(\boxed{x = -2,\;\;x=4}\)

Answer:

3.375

Step-by-step explanation:

Answer: 1/2

Hope this helps :)

425 dollars is 500 with a 15% discount

Answer:

$425

Step-by-step explanation:

The easiest way of calculating discount is, in this case, to multiply the normal price $500 by 15 then divide it by one hundred. So, the discount is equal to $75. To calculate the sales price, simply deduct the discount of $75 from the original price $500 then get $425 as the sales price.

Option A. The area of the land is approximately 1.54 square kilometers.

To find the area of the trapezoid, we can use the formula:

Area = (1/2) × (a + b) × h

where a and b are the lengths of the parallel sides, and h is the perpendicular distance between them.

Given:

Length of one parallel side (a) = 1.7 kilometers

Length of the other parallel side (b) = 2.4 kilometers

Perpendicular distance (h) = 0.75 kilometers

Plugging in the values into the formula:

Area = (1/2) × (1.7 + 2.4) × 0.75

Calculating the area:

Area = (1/2) × 4.1 × 0.75

Area = 2.05 × 0.75

Area = 1.5375 square kilometers

Rounding to the nearest hundredth:

Area ≈ 1.54 square kilometers

Therefore, the area of the land is approximately 1.54 square kilometers.

Read more on Trapezoid here:https://brainly.com/question/1410008

#SPJ1

The distance between the points G and H is D = 8 units

Given data ,

Let the distance between 2 points be represented as D

Now , let the first point be G ( 0 , 8 )

Let the second point be H ( 8 , 8 )

Now , let the distance between G and H be D , where

D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

D = √ ( 0 - 8 )² + ( 8 - 8 )²

D = √64 units

D = 8 units

Hence , the distance is 8 units

To learn more about distance between two points click :

https://brainly.com/question/12661159

#SPJ1

Answer:

111

Step-by-step explanation:

we can get by finding the difference of 180 degree minus 69 degree

x+69 degree = 180 degree

x= 180 degree-69 degree

x=111 degree

The area of the triangle, when a = 2 and c = 3, is 1512 square centimeters.

We must apply the formula for the area of a triangle, which is provided by: to determine the triangle's area.

(1/2) * Base * Height = Area

We can enter the values of a = 2 and c = 3 into the formula given that the base length is 3ac2 and the height is 2 centimetres greater than the base length.

Base length =\(3ac^2 = 3 * 2 * (3^2) = 3 * 2 * 9 = 54\) centimeters

Height is calculated as Base Length + 2 (54 + 2 = 56 centimetres).

Using these values as a substitute in the formula, we obtain:

Area =\((1/2) * 54 * 56 = 1512\) square centimeters

centimetres square

It's crucial to understand that the calculation assumes the triangle is a right triangle with the specified base and height and that the given values of a and c are accurately used in the formula.

for more such questions on triangle

https://brainly.com/question/25215131

#SPJ8

Answer:

so on the first one all your doing is multiplying 65 by the number on top so the graph should look like this.

2 3 4 5

130 195 260 325

On the second one all your doing is putting the dot where the numbers meet up so for example. I'm going to try my best at this to create a drawing so pretend ! is a line and - is also a line.

10!

!

8!

!

4!_|●_|_|_|_|_|_|

!_|_|_|_|_|_|_|_|

!_|_|_|_|_|_|_|_|_

0!_|_|_|_|_|_|_|_|_|_

2

so I hope this made sense so where I put my dot is where the blue dot should go on the graph

Answer:

where is the shape ???????

With 99% confidence that the true difference lies between 0.1316 and 0.2694.

A 99% confidence interval for the difference in average SAT scores between coached and uncoached students can be constructed using the data above.

The confidence interval is calculated as (mean of coached students - mean of uncoached students) +/- (2 * standard error of the difference in means).

The mean of coached students is (0.3098 + 0.3399 + 0.219 + 0.0798) / 4 = 0.2155, and the mean of uncoached students is (0.0046 + 0.0248) / 2 = 0.0147. The standard error of the difference in means can be calculated as the square root of ((0.2155(1-0.2155)/4) + (0.0147(1-0.0147)/2)).

The confidence interval is then (0.2155 - 0.0147) +/- (2 * 0.0347) = 0.201 +/- 0.0694, or (0.1316, 0.2694). This indicates that, on average, coached students gain 0.201 points more than uncoached students, with 99% confidence that the true difference lies between 0.1316 and 0.2694.

Learn more about The confidence interval:

https://brainly.com/question/20309162

#SPJ4

Answer:

The Answer is 33,300$ Hope This Helps!

Step-by-step explanation:

i know this because a trimester is 3 times a year and if she is paying 2,350$ a trimester i know she is paying 7,050$ a year so multiply that by 4 and you get 28,200$ so do the same thing I just explained with the books and you get 33,300$ Have a great day!

The required amount paid in FICA taxes this year would be $2,295. The correct answer is $2,295.

To calculate the FICA taxes paid for the given scenario, we need to multiply the salary by the FICA rate.

Given:

Salary: $30,000

FICA rate: 7.65%

FICA taxes are split between employers and employees, with both parties paying 7.65% of their income to FICA, totaling 15.3% combined.

To calculate the FICA taxes paid by the employee, we multiply the salary by the FICA rate:

$30,000 * 7.65% = $2,295

Therefore, the amount paid in FICA taxes this year would be $2,295. The correct answer is $2,295.

Learn more about the tax paid here:

https://brainly.com/question/30034051

#SPJ12

Answer:

x = 10  

Step-by-step explanation:

recall that for a square with side length "L", the area of the square can be expressed as

Area = L x L

or

Area = L²

in this case we are given that Area, A = 32x

and that Side Length, L = 8√5

If we substitute these into the equation, we will get:

Area = L²

32x = (8√5)²   (using the properticals of exponents, we can re-write the right side)

32x = (8)² · (√5)²  

32x = 64 · 5

32x = 320   (divide both sides by 32)

x = 320 / 32

x = 10  

Given: The equation x² = 5x + 4

We have to draw the the graph for the given equation.

Consider the given equation,

x^2 - 5x - 4 = 0  

The vertex of the parabola of the form f(x) = ax^2 + bx + c   is given by x = -b/2a

Here,

a= 1

b= -5

c= -4

vertex = x = 5/2= 2.5

Also, the y coordinate at x = 2.5 is,

y = (2.5)^2 -5(2.5)-4

y = -10.25

Thus the vertex of parabola is (2.5 , -10.25)

y - intercept is the point where x = 0

put x = 0 in given equation

f(x) = 0 - 0 -4

f(x) = -4

hence y intercept is at (0, -4).

Now, we calculate x- intercept

x- intercept is where y is equal to 0.

Put f(x) = 0

We have,

x^2 - 5x - 4 = 0

by using quadratic formula,

x = -b ±√b² - 4ac/2a

x=5 ±√-5² - 4 (1)(-4)/2

x= 5±√41/2.

Hence with the obtained values the graph of the equation is obtained.

Learn more about Parabola,

https://brainly.com/question/29267743

#SPJ1

(2, −6.5), from the graph, point out the coordinates where both lines intersect each other. That is the solution for both the lines. Here the lines cut at x : 2 and y : -6.5. Therefore (2, −6.5) is the best estimate for the solution to the system.

Check the intersection point where both lines meet at.

So the co-ordinates are

Answer:

1440

Step-by-step explanation:

explanation in the picture

Answer:

\(2x + 5 \\ (2 \times 10) + 5 \\ 20 + 5 \\ = 25\)