A Ferris wheel has a radius of 80 feet. Two particular cars are located such that the central angle between them is 165º. To the nearest tenth, what is the length of the intercepted arc between those two cars on the Ferris wheel?

Hi!

Your answer is 52.

To start off, let's start with some facts that will help us solve this:

Supplementary angles are two angles whose angle measures add up to 180 degrees. You can know that they are supplementary because they can be connected by a straight line.

Triangles (all of them) have angles that add up to 180 degrees.

We can start by using supplementary angles to solve. See where the angle of 67 degrees is? The one to the right of it is supplementary to it since they are on a straight line. That means their sum adds up to 180 degrees:

[tex]67 +?=180[/tex]

[tex]?=113[/tex]

That angle is 113 degrees.

Now, we have 2 out of 3 angles in the triangle. Since we know that triangles' angles add up to 180 degrees, we can make an equation:

[tex]15+113+x=180[/tex]

[tex]128+x=180[/tex]

[tex]x=52[/tex]

Therefore, x is equal to 52.

Answer: 38 students

Step-by-step explanation:

     To answer this question we will find 95% of 40. Keep in mind that a percent divided by 100 becomes a decimal.

95% / 100 = 0.95

0.95 * 40 = 38

         38 students passed their test.

Businesses are not to discriminate against their workers based on their nation of origin, but can discriminate based on age.

Discrimination can simply be defined as favoring one person over another based on certain criteria or biases.

In almost all businesses, the law stipulates that certain criteria such as nation of orgin, race, disability among others should not be used against an indivdual. However, for age, certain age limit are permitted to be used by businesses to select employees.

Therefore, all business can discriminate against a worker using age.

Learn more about age discrimination on:

https://brainly.com/question/26408615

False:

A business may discriminate against a worker based on their nation of origin f t

No business are allowed to discriminate

Answer:

x=13/33 and y=12/33

Step-by-step explanation:

x=13/33 and y=12/33

Answer:

49

There u go :)

Answer:

Given the functions below, f(2) - g(-7) is -34.

Step-by-step explanation:

f(2) - g(-7)

First solve f(2).

f(x) = -|3 - 8x|

Substitute variable.

f(2) = -|3 - 8(2)|

Multiply.

f(2) = -|3 - 16|

Subtract 16 from 3.

f(2) = -|-13|

Apply absolute value.

f(2) = -13

Now solve g(-7).

g(x) = x² + 4x

Substitute variable.

g(-7) = (-7)² + 4(-7)

Raise -7 to the second power.

g(-7) = 49 + 4(-7)

Multiply 4 and -7.

g(-7) = 49 - 28

Subtract 28 from 49.

g(-7) = 21

Now with those values, lets go back to our original equation.

f(2) - g(-7)

Substitute known values.

-13 - 21

Subtract 21 from -13.

-34.

Answer: The factors would be 1 and 2.

Step-by-step explanation:

I hope that helps!! Please correct me if I am wrong and have a great day!!

Answer:

$0.05

Step-by-step explanation:

3.45 divided by 64

Answer:

The area would be 196 cm or 1.96 meters.

Step-by-step explanation:

Since it is a square, all of the sides are the same length.

So we do 14*14 to find the area.

14*14 = 196

So the answer is 196 cm or 1.96 meters.

Answer:

17.35

Step-by-step explanation:

All all divide by how many there were

Answer:

17.35

Step-by-step explanation:

Find the mean by adding all the numbers up and dividing by the amount of numbers in the data set

Step-by-step explanation:

Now, Given that:-

Diameter (d) = 10 cm

So, Radius (r) = 10/2 = 5cm

Height of the cylinder = 12cm.

[tex]volume \: of \: the \: cylinder \: = \pi {r}^{2} h[/tex]

[tex] = > \pi \times {5}^{2} \times 12 {cm}^{3} = 300\pi {cm}^{3} [/tex]

Radius of the cone = 5 cm.

Height of the cone = 12 cm.

[tex]slant \: height \: of \: the \: cone \: = \sqrt{ {h}^{2} + \: {r}^{2} } [/tex]

[tex] = > \sqrt{ {5}^{2}+{12}^{2} } cm \: = 13cm[/tex]

Volume of the cone = 1/3 *πr^2h

[tex] = > \frac{1}{3} \pi \times {5}^{2} \times 12 {cm}^{3} = 100\pi {cm}^{3} [/tex]

therefore, the volume of the remaining solid

[tex] = 300\pi {cm}^{3} - 100\pi {cm}^{3} \\ = 200 \times 3.14 {cm}^{3} = 628 {cm}^{3} [/tex]

Curved surface of the cylinder =

[tex]2\pi \: rh \: = 2\pi \times 5 \times 12 {cm}^{2} \\ = 120\pi {cm}^{2} .[/tex]

[tex]curved \: surface \: of \: the \: cone \: = \pi \: rl \\ = \pi \times 5 \times 13 {cm}^{2} \\ = 65\pi {cm }^{2} \\ area \: of \: (upper)circular \: base \: \\ of \: cylinder \: = \\ = \pi \: {r}^{2} = \pi \times {5}^{2} [/tex]

therefore, The whole surface area of the remaining solid

= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder

[tex] = 120\pi {cm}^{2} + 65\pi {cm }^{2} + 25 \pi {cm}^{2} \\ = 210 \times 3.14 {cm}^{2} = 659.4 {cm}^{2} [/tex]

Answer:

D. x - 4

Step-by-step explanation:

(x - 4)(x + 10)

= x^2 + 6x - 40

A factor is something that multiplies together with something else to get a product. Here the factors are binomials and the product is a trinomial.

Answer:

(4, 2 ) and (2, 4 )

Step-by-step explanation:

xy = 8 → (1)

y = - x + 6 → (2)

substitute y = - x + 6 into (1)

x(- x + 6) = 8

- x² + 6x = 8 ( subtract 8 from both sides )

- x² + 6x - 8 = 0 ( multiply through by - 1 )

x² - 6x + 8 = 0 ← in standard form

(x - 4)(x - 2) = 0 ← in factored form

equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 2 = 0 ⇒ x = 2

substitute these values into (2) for corresponding values of y

x = 4 : y = - 4 + 6 = 2 ⇒ (4, 2 )

x = 2 : y = - 2 + 6 = 4 ⇒ (2, 4 )

Answer:

1/4

Step-by-step explanation:

Answer:

25/20 or 25:20 ( doesn't matter which)

Step-by-step explanation:

Circles :25

triangles :20

Answer:

25:20 or 5:4

Step-by-step explanation:

The ratio is the circle:triangle

Plug in the values.

25:20 = 5:4

Recall that for two vectors x and y,

x • y = ||x|| ||y|| cos(θ)

where θ is the angle between them.

We have

i • (√3 i + j) = √3

||i|| = 1

||√3 i + j|| = √((√3)² + 1²) = √4 = 2

Solve for θ :

√3 = 2 cos(θ)

cos(θ) = √3/2

θ = arccos(√3/2) = π/6

(Note that we assume θ is the acute angle between the vectors.)

Step-by-step explanation:

median -> $24.710+$25.180=$49.89

$49.98÷2=$24.945

mode -> $25.520 and $24.710

mean -> $24.640+$26.740+$23.620+$25.520+$24.710+$25.180+$25.520+$24.750+$24.710+$23.860= $249.25

$249.25÷10=$24.925

mean (add all your numbers together and then divide them by how many they are, here there are 10 numbers)

median (the middle one, if there are 2 in the middle, then you'd add those two numbers together and then divide by two)

mode (the number you see the most, mode *most*)

I hope all this helped, this took time. Take care!

Answer:

A.  637

B.  0.2240 (4 dp) = 22.4% (nearest tenth)

Step-by-step explanation:

Normal Distribution

[tex]\sf X \sim N(\mu, \sigma^2)[/tex]

Given:

[tex]\implies \sf X \sim N(190.6, 5.8^2)[/tex]

[tex]\begin{aligned}\sf P(180 < X < 190) & = \sf P(X < 190)-P(X\leq 180)\\& = \sf 0.4588035995-0.03380583874\\& = \sf 0.4249977608\end{aligned}[/tex]

Total number of bodybuilders = 1500

Therefore, the number of bodybuilders between 180 and 190 pounds is:

[tex]\begin{aligned}\sf P(180 < X < 190) \cdot1500 & = \sf 0.4249977608 \cdot 1500\\& = \sf 637.4966412\\& = \sf 637\end{aligned}[/tex]

[tex]\begin{aligned}\sf P(X > 195) & = \sf 1-P(X\leq 195)\\& = \sf 1-0.7759602537\\ & = \sf 0.2240397463\\ & = \sf 0.2240\:(4\:dp)\end{aligned}[/tex]

y = 4x -21  (again cool name btw) :)

y=4x-3 has slope = to the coefficient of the x term = 4

all parallel lines have the same slope.

y=4x + b, where b can be any real number, so just plug in the point (4,-5) into the general equation

y=4x+b = -5 = 4(4) + b

-5 = 16 + b

-21 = b

b = -21 = the y intercept, so the equation is

y=4x -21

Answer:

C   y  =  20x +40

Step-by-step explanation:

I think there is a typo in your question

monthly payment total   = 20 x

 total paid so far = 40 + 20x

y = 20x + 40

Answer:Letter D

Step-by-step explanation:If James is measuring the water level in the morning and it’s -2 feet and the water in the afternoon is -6.5 -2 is closer to the dock than -6.5 so it’s greater than -6.5 feet.

Answer:

3 is D

4 is F

Step-by-step explanation:

Just multiple the numbers together

Answer:

w = 45

y = 45

Step-by-step explanation:

im really sorry if i got it wrong i just want to help

Answer:

  m = 32g

Step-by-step explanation:

The proportion between m and g can be written ...

  m = kg

where k is the constant of proportionality.

__

We can find its value by dividing by g:

  k = m/g

Using any pair of corresponding values from the table, we find ...

  k = 64/2 = 32

The relationship between m and g can be expressed by the equation ...

  m = 32g

Answer:

[tex]1609.1 m^{3}[/tex]

Step-by-step explanation:

The area of a triangle is 1/2 base * height.

The base of one side is 13, and the height is 30.

30 * 13 = 390

390 / 2 = 195

Now, there are six of these triangle faces, so multiply that number by six.

195 * 6 = 1170

Now, just add the area of the base:

1170 + 439.1 = 1609.1

Answer:

The probability of getting gray = no. of gray shades / total

=> 2/7

The probability of getting head when we toss a penny = head / total ( head + tail )

=> 1/2

Answer:

$49.90

Step-by-step explanation:

Thats what i got :)

Wow some people get PAID to babysit ?!!? XD

Answer:

60%

Step-by-step explanation:

15 of the 25 students are boys

number of boys over the total number of students in the class multiplied by 100% gives the percentage of boy students in the class

=15/25 ×100%

=60%