If you spin the spinner 72 times, what is the best prediction possible for the number of times it will land on yellow?

Let us consider a quadrilateral ABCD (as shown in the figure below) such that AC and BD are the two diagonals of ABCD.

Now, in triangle ABC and triangle ADC, by using the properties of triangle inequality we have-

AB +BC > AC  .... (1)

and AD + CD >AC .... (2)

adding equations (1) and (2) we get-

AB+ BC+CD+AD > 2AC .... (3)

Similarly for diagonal BD we get-

AB+BC+CD+AD > 2BD .... (4)

Adding equations (3) and (4) we get-

2(AB+BC+CD+AD) > 2(AC+BD)

⇒ (AB+BC+CD+AD) > AC+BD

here (AB+BC+CD+AD) = perimeter of quadrilateral.

Hence, we have proven that the sum of the length of the diagonals of a quadrilateral is less than the perimeter.

Now the 2 diagonals divide the quadrilateral into 4 quadrilaterals  

Therefore, AO+OD > AD

OD+OC > CD

OC+OB > BC

and OA+OB > AB

Adding all these equations-

2(AC+BD)>AB+BC+CD+AD

⇒AC+BD > 1/2(AB+BC+CD+AD)

Hence, we've proven that the sum of the length of the diagonals is greater than the half of the perimeter of this quadrilateral.

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Answer:

y  = 60.3

Step-by-step explanation:

Answer:

14 square units

Answer:

According to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.

What is the right angle triangle property?

In a right-angle triangle ratio of the opposite side to the adjacent side is equal to the tangent angle between the adjacent side and the hypotenuse side.

Here, (b) is the opposite side, (a) is the adjacent side, and is the angle made between the adjacent side and the hypotenuse side.

The sides of the triangle are 8, 15, and 17 units long and the measure of the angles of the right angle triangle is 62, 90, and 28 degrees.

Re-draw, the  Here in the given triangle, the base is the side which is 15 units long. Re-draw the triangle as shown below.

In the attached triangle below, the opposite side of the triangle is 15 units and the adjacent side of the triangle is 8 units long.

The angle between the opposite side and the adjacent side is 62 degrees. Thus using the right angle triangle property as,

Thus, according to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.

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Use trigonometry.

sin x = opposite ÷ hypotenuse

sin x = 7/9

Take the arcsin on both sides.

arcsin(sin x) = arcsin(7/9)

x = 51.057558731

Rounding to the nearest whole number means to round to the ones place.

Answer: x = 51 degrees

2 in = 5.08 cm So 2in is greater

Answer:

False

Step-by-step explanation:

The total amount of books is 42 not 30 so it would be 12 : 42

Answer: 1 =.43, 2=.26, 3=.16 4=.33

Step-by-step explanation: So to find all these answers we have to know the total number of people in the chart 30. Then we have to find what info we need from the chart and divide it by the total number of people. I hope this helped I tried to make it simple.

Answer:

∠\(ACD=60\)° or B

Step-by-step explanation:

\(110+120+70= 300\)

\(360-300=60\)

Answer:

B 60

Step-by-step explanation:

Do not let all the extra triangles on the outside trip you out. The shape is a trapezoid which total should equal 360. Add all the angles up and subtract from 360 to get 60

Hope this Helps :)

Given:

As we know the formula,

→ \(Distance = \sqrt{a^2+b^2-2ab Cos \Theta}\)

By substituting the values, we get

                  \(= \sqrt{(28)^2+(22)^2-2\times 28\times 22 Cos 60^{\circ}}\)

                  \(= \sqrt{784+484-616}\)

                  \(= \sqrt{652}\)

                  \(= 25 \ miles\)

Thus the above answer is correct.

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Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

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The hourly growth rate parameter is equal to 2.22%.

In Mathematics, an exponential function simply refers to a mathematical function whose values are generated by a constant that is raised to the power of the argument.

Mathematically, an exponential function can be modeled by using this equation:

A(t) = ae^{kt}

Where:

Based on the information provided, we have the following:

A(t) = 1100e^{6k}   .....equation 1.

A(6) = 1257      .....equation 2.

Equating the two equations, we have:

1100e^{6k} = 1257

e^{6k} = 1257/1100

e^{6k} = 1.1427

Taking the natural log (ln) of both sides of the equation, we have:

6k = ln(1.1427)

6k = 0.1334

Hourly growth rate, k = 0.1334/6

Hourly growth rate, k = 0.0222

As a percentage, we have:

Hourly growth rate, k = 0.0222 × 100

Hourly growth rate, k = 2.22%.

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The intersection points are: (0, -3) and (10, 2)

The bounded area is -20.83 unit²

(a) The  intersection points of the line and curve are the points where the line and curve meet. Thus, the intersection points are:

(0, -3) and (10, 2)

(b) The integral terms of y which gives the area bound are:

a = -3, b = 2 (These are the y values of the intersection points)

Since we have x = y² + 3y and x = 2y + 6, we can say:

y² + 3y = 2y + 6

y² + 3y - 2y - 6 = 0

y² + y - 6 = 0

Thus, h(y) =

Using a = -3 and b = 2  with h(y) = y² + y - 6, we have the bounded area as:

\(Area = \int\limits^b_a {y} \, dy\)

\(Area = \int\limits^{2}_{-3} {(y^{2} + y - 6}) \, dy\)

Integrating the area:

Area = [y³/3 + y²/2 - 6y + C]²₋₃

Area = [2³/3 + 2²/2 - 6(2)] - [(-3)³/3 + (-3)²/2 - 6(-3)]

Area = [8/3 + 2 - 12] - [-9 + 4.5 + 18]  

Area = [-22/3] - [27/2]

Area = -125/6

Area = -20.83 unit²

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The polynomial x³+5x²+2x-8 has the factors (C) (x + 4), (F) (x + 2), and (D) (x - 1) as its factors.

A number that entirely divides another number is known as a factor.

In other words, if multiplying two whole numbers results in a result, the two whole numbers we are multiplying are factors of the result since the result may be divided by them.

Factors are the numbers that can divide a number exactly.

Therefore, after division, there is none left over.

So, let's see if the polynomial has (x - 1) as a factor:

⇒ p(1) = (1)³ + 5(1)² + 2(1) - 8

⇒ p(1) = 1+ 5 + 2 - 8

⇒ p(1) = 0

Multiply the component g(x) = by the polynomial p(x) = x3 + 5x2 + 2x - 8. (x - 1).

⇒ (x³ + 5x² + 2x - 8) ÷ (x - 1)

⇒ x² + 6x + 8

By dividing the middle term, let's factorize the aforementioned polynomial to determine the value of x.

Determine what a, b, and c are worth.

A is the coefficient of x2 = 1, B is the coefficient of x = 6, and C is the constant term = –8 in the equation above.

Determine the factors that add up to b by multiplying a and c.

1 × (8) = 8

The two factors that add up to b are 4 and 2.

Make two terms out of bx.

x² + 4x + 2x + 8

Eliminate the common elements by grouping.

x + 4x + 2x + 8 = x(x + 4) + 2 (x + 4)

= (x + 2) (x + 4)

Therefore, the polynomial x³+5x²+2x-8 has the factors (C) (x+4), (F) (x+2), and (D) (x-1) as its factors.

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Complete question:

Select all of the factors of x3 + 5x2 + 2x - 8;

a. x + 5, b. x - 3, c. x + 4, d. x - 1, e. x + 3, f. x + 2

Answer:

X= - 12/7 i hope it is helpful have a nice day if you want steps i will show you

Answer/Step-by-step explanation:

8 − 5 = 2 + 2 0 − 5 + 8 = 2 + 2 0

− 5 = 2 + 1 2

− 7 = 1 2

− 7 = 1 2 − 7 − 7 = 1 2 − 7

= − 1 2 7

=]

Answer:

1:19PM

Step-by-step explanation:

To solve this, we can first add up the minutes.

We convert to a fraction because if there are 60 minutes in an hour, we need to find out how many hours are in 79 minutes.

Now, we can add up the hours.

Therefore, the game ended at 1:19 PM

Answer:

  745

Step-by-step explanation:

You want the original number of books in the library if adding 298 children's books increased the fraction of children's books from 2/5 to 4/7.

We often like to work problems like this in terms of "ratio units." Here, we'll let x represent the number of books in a ratio unit. This means the number of children's books is originally 2x, and the total number of books is originally 5x. Then we have ...

  (2x +298)/(5x +298) = 4//7

Cross multiplying gives ...

  7(2x +298) = 4(5x +298)

  3(298) = 6x . . . . . . . . . . . . . subtract (14x+4(298))

  149 = x

  745 = 5x . . . . . . the original number of books in the library

There were 745 books in the library at first.

__

Additional comment

If we let x represent the original number of library books, then the arithmetic involves more fractions. You would have an equation like ...

  2/5x +298 = 4/7(x +298)

<95141404393>

As the number of trials increases, the accidental error decreases. The probabilities of flipping a head or tail tends to be equal. That means the experimental probability for both head and tail would be very close to 0.5.

As b

The function f(x)* = 1 + x^2 is defined for all real numbers x, so the domain is all real numbers, or (-∞, ∞).

In determining the function's output values, one must consider its collection of feasible results to extract the range. Reviewing f(x)* exhibits a minimum value of 1 due to x^2 being perpetually non-negative, while adding another factor merely preserves positivity.

Concurrently as x skyrockets, so too does the value of f(x)* given that approaching infinity generates infinitely larger powers than any constant coefficient subordinated by it. Consequently, the overall range of f(x)* becomes [1, ∞), enwrapping all feasible solutions equivalent or superior to 1.

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Answer:

1. True

2. false.

3. true

4. false

5. true

\( - 2 \frac{1}{2} - ( - 5 \frac{3}{4} ) = - 2 \frac{1}{2} + 5 \frac{3}{4} \)

\( = 5 \frac{3}{4} - 2 \frac{1}{2} = \frac{23}{4} - \frac{5}{2} \)

\( = \frac{23}{4} - \frac{10}{4} = \frac{23 - 10}{4} = \frac{13}{4} \)

\( = \frac{4 + 9}{4} = \frac{4}{4} + \frac{9}{4} = 1 + \frac{9}{4} = 1 \frac{9}{4} \)

Answer:

\(1 \frac{9}{4} \)

Ok done. Thank to me :>

Answer:

2nd one.

Step-by-step explanation:

1

Step-by-step explanation:

true ya false you say me

Answer:

i think 4 or 40

Step-by-step explanation:

Answer: A

Step-by-step explanation: The dot is a filled-in circle, meaning it has to be A, B, or E. Then, B is saying that the arrow is going left, so that's wrong. E is saying that it is just 6 instead of -6, which leaves us with A.

hope this helps!

please give brainliest!

The solution of sum of expression is,

⇒ (x² - x + 1) / (x - 1)(x - 2)

We have to given that;

Expression is,

⇒ [x /(x² - x - 2)]  + [ (x - 1) / (x - 2) ]

We can simplify as;

⇒ [x / (x² - x - 2)]  + [(x - 1) / (x - 2)]

⇒ [x / (x² - 2x + x - 2)] + [(x - 1) / (x - 2)]

⇒ [x / [ x (x - 2) + 1(x - 2)] + [(x - 1) / (x - 2)]

⇒ [x / (x - 1) (x - 2)] + [(x - 1) / (x - 2)]

⇒ [1/(x - 2)] [ x/(x - 1) + (x - 1) ]

⇒ [1 / (x - 2)]  × [ x + (x - 1)²] / (x - 1)

⇒ [x + (x - 1)² ] / [(x - 1) (x - 2)]

⇒ (x + x² - 2x + 1) / (x - 1) (x - 2)

⇒ (x² - x + 1) / (x - 1) (x - 2)

Hence, The solution of sum of expression is,

⇒ (x² - x + 1) / (x - 1) (x - 2)

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Answer:

3.5841 x 10^7

Step-by-step explanation:

358.41 / 100

and add 2 powers of 10