A ferris wheel has a radius of 28 feet and completes 3 revolutions in 1.5 minutes. Find the angular speed of the rider in degrees per second.

Answer:

Choose (A)

Step-by-step explanation:

f(x)=3x⁴+kx³+x-2

f(x)=3(-2)⁴+k(-2)³+(-2)-2

=-8k+44

-8k=-44

k=44/8

k=11/2

Answer:

-3.2 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

-3.2

Step-by-step explanation:

−13.6 + 5.4 + 5

First, add the positive (+) values.

= -13.6 + 10.4

Now, subtract and keep the sign negative as 13.6 is greater than 10.4

= -3.2

Given:

mean, u = 0

standard deviation σ = 1

Let's determine the following:

(a) Probability of an outcome that is more than -1.26.

Here, we are to find: P(x > -1.26).

Apply the formula:

Thus, we have:

Using the standard normal table, we have:

NORMSDIST(-1.26) = 0.1038

Therefore, the probability of an outcome that is more than -1.26 is 0.1038

(b) Probability of an outcome that

a)

Answer:

Since the ratio of their corresponding sides are equal the two triangles are similar.

Explanation:

Given the triangles in the attached image;

We want to confirm if they are similar.

For them to be similar the ratio of their corresponding sides must be equal.

Given;

Substituting to get the ratio of the sides;

Since the ratio of their corresponding sides are equal the two triangles are similar.

The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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Answer:

Step-by-step explanation:

c

Answer: 30%

Step-by-step explanation:
12/40 = 3/10 = 0.30

0.30*100 = 30%

Answer:

slope = -5/2

Step-by-step explanation:

Ax + By = C

By = -Ax + C

y = (-Ax + C)/B

slope = -A/B = -5/2

Answer:

4+m

Step-by-step explanation:

You can't put them together 'cause they aren't like terms, so you just keep the sign that put them together in the first place.

Answer:

\(\mathsf{\frac{4}{3} \:\times\frac{1}{2}\: =\: \frac{4}{3} \:\div\frac{2}{1}}\)

Step-by-step explanation:

The mathematical operation of division is the opposite of multiplication. When you divide two fractions, you will have to take the reciprocal of the divisor, and multiply it with the dividend.  

In the given equation, \(\mathsf{\frac{4}{3} \:\times\frac{1}{2}\: =\: \frac{4}{3} \:\div\:?}\), we can rewrite this as:  \(\mathsf{\frac{4}{3} \:\div\:?\:=\:\frac{4}{3} \:\times\frac{1}{2}}\).

As previously mentioned, division is opposite of multiplication. Since the multiplicand  in the multiplication of two fractions is ½, then we can assume that the divisor (or the missing fraction) must be the reciprocal of ½, which is  \(\mathsf{\frac{2}{1}\:or\:2}\).

Therefore, the missing fraction that completes the given mathematical statement is \(\mathsf{\frac{2}{1}\:or\:2}\).  

\(\mathsf{\frac{4}{3} \:\times\frac{1}{2}\: =\: \frac{4}{3} \:\div\frac{2}{1}}\)

The unknown lengths of the similar figures are:

r = 63 m

x = 45 m

Two figures are similar if they have the same shape but different sizes. The corresponding angles are equal and the ratios of their corresponding sides are also equal.

Using the above concept, we can equate the ratio of the corresponding sides and solve for the unknown lengths. That is:

Quadrilateral:

B/A  = C/B

15/5 = r/21

3 = r/21

r = 3 * 21

r = 63 m

Star:

18/4 = x/10

4.5 = x/10

x = 4.5 * 10

x = 45 m

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The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and

he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.  It is defined as the length of the opposite side divided by the length of the hypotenuse

The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360

2∅  2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720

sin 2∅ = sin0 = 0; Sin90=1;  sin180=0; sin240= -0.8660; sin270 = -1;

Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397

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Step-by-step explanation:

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Answer:

A

Step-by-step explanation:

im not 100 % sure hope i am correct

Answer:

b

Step-by-step explanation:

Answer:

CD = 15

Step-by-step explanation:

We are given two quadrilaterals: CDEF and GIJH.

We know that CD = 3x - 6, and GI = x + 8.

We want to find the length of CD.

Notice how CD and GI both have one tick mark on them.
This indicates that these two are congruent, meaning that they have the same length.

Because of that, CD = GI.

If we substitute 3x - 6 for CD and x + 8 for GI, we get:

3x - 6 = x + 8

Now, we can solve this like a regular equation.

Add 6 to both sides.

3x - 6 = x + 8

    +6       +6

_________________

3x = x + 14

Subtract x from both sides.

3x = x + 14

-x    -x

_____________-

2x = 14

Divide both sides by 2.

2x = 14

÷2    ÷2

____________

x = 7

We found the value of x.

Now, substitute 7 as x in 3x-6 (the length of CD).

CD = 3x - 6 = 3(7) - 6 = 21 - 6 = 15

Therefore, CD = 15.

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Here is the attached image for the answer. If you write it in in slope-intercept form, y=mx+b. You will get the answer below in the attached image.

The area of the parallelogram with base 50 ft and height 37 ft is 1850 sq. ft.

The region or space a parallelogram occupies in a two-dimensional plane is known as the area of a parallelogram. A particular kind of quadrilateral is a parallelogram. A quadrilateral is referred to as a parallelogram if it has two sets of parallel opposite sides. A parallelogram can be anything from a rectangle to a square to a rhombus. Shapes—2D or 3D—are the foundation of geometry. Each of these forms has a unique set of features and uses a separate area formula.

The area of the parallelogram is given by the formula:

A = (b)(h)

Given that,

b = 50 ft

h = 37 ft

Substitute the values in the equation of area:

A = (50)(37)

A = 1850 sq. ft

Hence, the area of the parallelogram is 1850 sq. ft.

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Answer: The patient should pay 17$

Step-by-step explanation: So first we need 10% of the bill

$85.00 / 10 = $8.50.

To get 20% we multiply that by 2

$8.50 x 2 = $17.00

The surface areas are 110 in², 87.6 mm² and 49 m².

Given that are solid figure, we need to find the surface area of them,

1) Triangular prism = perimeter × length + 2 × base area

= (5 + 5 + 6) × 5 + 2(3×5) = 110 in²

2) Triangular pyramid = base area + perimeter × slant height / 2

= 1/2 × 5.2 × 6 + 3 × 6 × 8/2

= 87.6 mm²

3) Cube = 4side²

= 4 × (3 1/2)²

= 4 × 3.5²

= 49 m²

Hence the surface areas are 110 in², 87.6 mm² and 49 m².

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The length of the side BC of right triangle ABC can be found by applying the Pythagorean theorem with AC = 12 and DC = 4. The length of BC can be expressed in simplest radical form.

Using the Pythagorean Theorem, BC^2 = AC^2 - DC^2

= 12^2 - 4^2

= 144 - 16

= 128

Therefore, BC = \(\sqrt{128}\)= 2\(\sqrt{32}\) = 8\(\sqrt{2}\)

The length of the side BC of a right triangle ABC can be found by applying the Pythagorean theorem. The Pythagorean theorem states that the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. In this case, AC = 12 and DC = 4, so BC^2 = AC^2 - DC^2 = 144 - 16 = 128. Therefore, which is the length of \overline{BC}BC in its simplest radical form. This result can be verified by calculating the length of the hypotenuse AC and confirming that it is equal to the square root of the sum of the squares of BC and DC.

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Answer:

(0 2,3,5)

Step-by-step explanation:

Domain is the x factor of every relation

Answer:

39 pages

Step-by-step explanation:

If 13 pages are read in 1/3 of an hour, we need to multiply 13 by 3 to get the number of pages read in 1 hour. 13*3 = 39 pages

Answer:

Area of play ground = Length × Breadth = 750 × 250 = 187500. a Cost of levelling the ground = 187500 × 16 100 = Rs . 30000 

Answer:  C  y-1=7 (x+4)

Step-by-step explanation:

Point slope formula

y - y₁ =  m ( x - x₁ )        Where m= slope and (x₁ , y₁) is your point

Given:

point: (-4, 1); slope: 7

plug in to formula

y -  1 = 7 (x+4)

Given:

A figure of a right triangle.

To find:

The value of x.

Solution:

According to the geometric mean attitude theorem, if an altitude is drawn from the right angle vertex to the hypotenuse, then the altitude is the geometric mean of segments of hypotenuse.

Using geometric mean attitude theorem, we get

\(\dfrac{3}{x}=\dfrac{x}{5}\)

\(3\times 5=x\times x\)

\(15=x^2\)

\(\pm \sqrt{15}=x\)

But side cannot be negative. So,

\(\sqrt{15}=x\)

Therefore, the value of x is \(\sqrt{15}\).

The percentage of our new facility's seating is full will be 76%.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The percentage is given as,

Percentage (P) = [Initial value - Final value] / Initial value x 100

Our new training room can seat 150 employees.

If 6 tables consisting of 6 chairs are now taken.

Then the number of occupied seats by tables will be

⇒ 6 x 6

⇒ 36

Then the percentage of our new facility's seating is full will be

P = [(150 - 36) / 150]  x 100

P = (114/150) x 100

P = 0.76 x 100

P = 76%

The percentage of our new facility's seating is full will be 76%.

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