identify the coefficient yo1y

Answer:

No. of students in each Van = 8 , No. of students in each Bus = 27

Step-by-step explanation:

Let number of students in one van be = V {Same for both schools}

Let number of students in one bus be = B {Same for both schools}

School A, 1 van & 7 buses have 197 students. (1 x V) + (7 x B) = 197 {Eq1}

School B, 12 vans & 1 bus have 123 students. (12 x V) + (1 x B) = 123 {Eq3}

Solving Eq 1 & Eq 2 : V + 7B = 197 ; & 12V + B = 123

From Eq 1 , V = 197 - 7B . Putting this value in eq 2, 12 (197 - 7B) + B = 123

2364 - 84B + B = 123 ; -83B = 123 - 2364 ; -83B = -2241 ; B = 2241/ 83 = 27

From Eq 1 : V = 197 - 7B ; V = 197 - 7 (27) = 197 - 189  ; V = 8

The total surface area of the square pyramid is 39 ft².

The total surface area of a square pyramid can be determined by adding the area of the lateral surfaces and the base together.  A square pyramid has four lateral sides and one base.  

Total surface area= area of the base + area of the lateral sides

Area of the base = area of a square = length² = 3² = 9 ft²

Area of the lateral sides = 2 x base x height

2 x 3 x 5 = 30 ft²

Total surface area = 30 + 9 = 39 ft²

To learn more about total surface area, please check: https://brainly.com/question/16493393

#SPJ1

Answer:

2.12×10-³

Step-by-step explanation:

how?

count all the zeros that u have in this problem u have 3 zeros

9514 1404 393

Answer:

  31

Step-by-step explanation:

The relationship between sides and the sum of angles is ...

  sum of angles = (sides - 2)·180°

Filling in the given value and solving for "sides", we get ...

  5220 = (sides -2)180

  29 = sides -2 . . . . . . . . . divide by 180

  31 = sides . . . . . . . . . . . . add 2

The polygon has 31 sides.

Answer:

31

Step-by-step explanation:

5220/180=29+2=31

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

For more questions on trigonometric form

https://brainly.com/question/31744474

#SPJ8

For the statement "If a polygon lacks right angles, then it is a parallelogram.", the counter example is -

Option A : a right triangle

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

A counterexample for a conditional statement is an example that satisfies the hypothesis (the first part of the statement) but does not satisfy the conclusion (the second part of the statement).

In this case, the statement is "If a polygon lacks right angles, then it is a parallelogram."

A right triangle is a polygon that lacks right angles, but it is not a parallelogram.

Therefore, a right triangle is a counterexample for this statement.

A square, a regular hexagon, and a rectangle all have right angles, so they are not counterexamples for this statement.

Therefore, the triangle is the counterexample.

To learn more about parallelogram from the given link

https://brainly.com/question/3050890

#SPJ1

Take the first partial derivatives of f(x, y):

∂f/∂x = -2 (x - 5) = 10 - 2x

∂f/∂y = -2y

The critical points occur where both derivatives are zero:

10 - 2x = 0   ===>   x = 5

-2y = 0   ===>   y = 0

So there is only critical point at (5, 0), which takes on a value of f(5, 0) = 25.

Compute the Hessian matrix for f :

\(H(x, y) = \begin{bmatrix}\frac{\partial^2f}{\partial x^2} & \frac{\partial^2f}{\partial x\partial y} \\ \frac{\partial^2f}{\partial y\partial x} & \frac{\partial^2f}{\partial y^2}\end{bmatrix} = \begin{bmatrix}-2&0\\0&-2\end{bmatrix}\)

Since det(H(x, y)) = 4 > 0 for all x, y, the critical point (5, 0) is a relative minimum.

f has no saddle points.

Answer:

Sum of n terms of a GP:

#1

Correct choice is C

-----------------------------

#2

Correct choice is A

Answer:

k ≥ 1

Step-by-step explanation:

Step 1: Write inequality

4(k - 5) + 12k ≥ -4

Step 2: Solve for k

Step-by-step explanation:

here's your solution

=> in first figure , base = 5.5, perpendicular =7.8

=> h^2 = 5.5^2 + 7.8^2

=> h^2 = 30.25 + 60.84

=>h^2 = 91.09

=> h = √91.09

=> h = 9.5

Both figure are congruent

enc we will get a rectangle by add both

hope it helps

Answer: rectangle or b

Step-by-step explanation:

Answer:

97.275% or 97.5%, depending on the precision desired.

Step-by-step explanation:

In a normal distribution, approximately 68% of scores are within 1 standard deviation of the mean; half of these (34%) are above the mean, and the other half are below the mean. Approximately 95% (more accurately, 95.45%) of results are within 2 standard deviations of the mean, including those 68% that are within 1 standard deviation.

Since our standard deviation is 20, and we are asked what percentage are below 140 (which is 2 standard deviations above the mean of 120), we are essentially being asked to find what percentage of scores are not above 140, which would equal 100% - (percent of scores above 140).

If 95.45% of scores are within 2 SD of the mean, then approx 4.55% are outside of that range. Of these, half will be more than two standard deviations below the mean (i.e. less than 60), and half will be more than 2 standard deviations above the mean (i.e. greater than 140). Thus to find the percent of scores greater than 140, we will divide 4.55 by 2, coming up with approx 2.725%.

Then, the percent of results below 100% will simply be 100%-2.725% = 97.275%.

Of note, many worksheets, teachers, and textbooks will allow you to simply round that 95.45% I mentioned earlier to 95%, following the 68/95/99.7 rule (e.g. 68% of the data is within 1 SD, 95% within 2 SD, and 99.7% within 3 SD of the mean). If you are instructed to do this, then in the problem above we would say 5% lies more than 2 SD away from the mean, and half of those (2.5%) lie more than 2 SD above the mean. Thus the percentage below 140 in this case would be 100%-2.5% = 97.5%.

The six trigonometric function of \(\theta\) are \(\sin \theta \approx 0.781\), \(\cos \theta = - \frac{5}{8}\), \(\tan \theta \approx -1.250\), \(\cot \theta \approx -0.800\), \(\sec \theta = - \frac{8}{5}\), \(\csc \theta \approx 1.280\), respectively.

In this question, we assume that x-component of the terminal point is part of a unit circle. Then, we can find the value of y by means of the Pythagorean theorem:

\(y = \sqrt{1-x^{2}}\) (1)

If we know that \(x = -\frac{5}{8}\) and P is in the second quadrant, then the value of y is:

\(y = + \sqrt{1-\left(-\frac{5}{8} \right)^{2}}\)

\(y \approx 0.781\)

By trigonometry, we remember the following definitions for the six basic trigonometric functions:

\(\sin \theta = \frac{y}{1}\) (1)

\(\cos \theta = \frac{x}{1}\) (2)

\(\tan \theta = \frac{y}{x}\) (3)

\(\cot \theta = \frac{1}{\tan\theta}\) (4)

\(\sec \theta = \frac{1}{\cos \theta }\) (5)

\(\csc \theta = \frac{1}{\sin \theta}\) (6)

If we know that \(x = -\frac{5}{8}\) and \(y \approx 0.781\), then the six basic trigonometric functions are, respectively:

\(\sin \theta \approx 0.781\), \(\cos \theta = - \frac{5}{8}\), \(\tan \theta \approx -1.250\), \(\cot \theta \approx -0.800\), \(\sec \theta = - \frac{8}{5}\), \(\csc \theta \approx 1.280\)

The six trigonometric function of \(\theta\) are \(\sin \theta \approx 0.781\), \(\cos \theta = - \frac{5}{8}\), \(\tan \theta \approx -1.250\), \(\cot \theta \approx -0.800\), \(\sec \theta = - \frac{8}{5}\), \(\csc \theta \approx 1.280\), respectively.

We kindly invite you to check this question related to trigonometric functions: https://brainly.com/question/6904750

The amount of the area of the home used and the total area of the second property are 26.25 acres and 20.625 acres respectively.

The amount of land to be used for a home is the difference between the total land area and the area to be used for land :

Land Area of second property = 0.78 times the land ares

Therefore, the total area of the second property is 20.625 acres.

Learn more : https://brainly.com/question/12474772

To know the area of a figure, you would like to know its shape and estimations. The steps to take on how to draw a figure with the use of a ruler and a pencil is given below.

Begin by selecting the kind of figure you need to draw. Make use of a ruler to draw the sides of the figure. Make sure that the lines are straight and have the right length.

E.g. If the figure may be a rectangle or a parallelogram, you wish to create beyond any doubt that inverse sides are parallel to each other. If the figure is triangle, you would like to draw three lines that shows at three distinctive points. At last, name the sides and vertices of the figure.

Learn more about line from

https://brainly.com/question/18831322

#SPJ1

The volume of the rectangular prism is 4.84 cm cube.

A rectangular prism is filled exactly with 605 cubes. Each cube has edge

length 1 / 5 cm. Therefore, the volume of the rectangular prism can be

calculated as follows:

volume of each cube = l³

volume of each cube = (1 / 5)³

volume of each cube = 1 / 125 cm³

Therefore,

volume of the rectangular prism = 605 × 1 / 125

volume of the rectangular prism = 605 / 125

volume of the rectangular prism = 4.84 cm³

learn more on rectangular prism here: https://brainly.com/question/29175503

#SPJ9

Answer:

  (a)  3x +y = 2

Step-by-step explanation:

You want the equation y = -3x +2 written in standard form.

The standard form of a linear equation is ...

  ax +by = c

where a, b, c are mutually prime integers with a ≥ 0. If a=0, then b > 0.

To put the given equation into that form, we can add 3x to both sides:

  3x +y = 3x -3x +2

  3x +y = 2

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

Learn more about rotation here:

https://brainly.com/question/30337265

#SPJ1

Step-by-step explanation:

The equation for simple interest is

interest = p r t      p = principal = $ 5000   r = decimal interest   t = years

interest = $ 5000 * .02 * 2 = $ 200

Answer:

Step-by-step explanation:

I'm guessing we are missing a piece of the question such as the average speed at which Nadeem can ride. Let's call it v

distance is a product of velocity and time

d = vt

t = d/v

so if v is in miles/hr, an inequality could be

12/v ≤ t ≤ 15/v

The value of x in the equation (43/7 ÷ x + 32/9) ÷ 25/6 = 4/3 is 43/14

The equation is given as:

(43/7 ÷ x + 32/9) ÷ 25/6 = 4/3

Rewrite as a product

(43/7 ÷ x + 32/9) x 6/25 = 4/3

Multiply both sides of the equation by 25/6

(43/7 ÷ x + 32/9)= 4/3 x 25/6

Evaluate the product

(43/7 ÷ x + 32/9)= 50/9

Rewrite the equation as:

43/7x + 32/9= 50/9

Subtract 32/9 from both sides

43/7x = 2

Multiply both sides by 7x

14x = 43

Divide by 14

x =43/14

Hence, the value of x in the equation (43/7 ÷ x + 32/9) ÷ 25/6 = 4/3 is 43/14

Read more about equations at:

https://brainly.com/question/2972832

#SPJ1

Answer:

Step-by-step explanation:

The perimeter is given by the formula ...

  P = 2(L +W) . . . where L and W are the length of the sides of the rectangle

Filling in the given values, we have ...

  8(2x +1) = 2((3x +4) +(4x +3))

  4(2x +1) = 7x +7 . . . . . . . . . . . . divide by 2, collect terms on the right

  8x +4 = 7x +7 . . . . . . eliminate parentheses

  x = 3 . . . . . . . . . . . . . subtract 7x+4

The side lengths are ...

  (3x +4) = 3(3) +4 = 13

  (4x +3) = 4(3) +3 = 15

The lengths of the sides are 13 inches and 15 inches.

__

Check

The perimeter is 8(2(3) +1) = 56 = 2(13 +15).

Answer:

30°

Step-by-step explanation:

53°+97°+x = 180°

The sum of three angles must equal 180°

Solve the equation.

150°+x = 180°

x = 180°-150°

x = 30°

Therefore, x = 30°

Answer:

You cant make him brainiest unless more than one person answers so I'm just "answering" so you can give him brainiest

Step-by-step explanation:

Answer:

A is correct. √11 and √14 are both between 3 and 4.

Answer:

I believe the answer is 490.63.

Step-by-step explanation: Let me know if I'm wrong.

Answer:

76.7

Step-by-step explanation:

11.3(3) + 10.7(4) = __ + 42.8

Multiply values

33.9 + 42.8 = __ + 42.8

The missing value is 33.9!

42.8 + 33.9 = 76.7