Is ABSE- ATES? If so, identify the similarity postulate or theorem that
applies.

Given that the Ferris diameter is 20 meters, with a rate of rotation of 1 turn in 8 minutes, we have;

a. Amplitude: A = 10 meters

Midline: h = 11 meters

Period, P = 8 minutes

b. h(t) = 10•cos((π/4)•t + π) + 11

c. 11 meters

The amplitude is the same as the radius of the Ferris wheel,

The radius of the Ferris wheel = 20 ÷ 2 = 10

Therefore;

[tex]the \: midline \: = \frac{max \: height \: + min \: height}{2} [/tex]

Therefore;

[tex]midline \: = \frac{10 + 10 + 1 + 1}{2} = 11[/tex]

The period is the time to complete one rotation, therefore;

b. h(t) = A•cos(B•t + C) + h

Where;

B = 2•π/P

When t = 0, h(t) = 1

Which gives;

h(0) = 1 = 10 × cos(B×0 + C) + 11

-10/10 = -1 = cos(C)

C = arcos(-1) = π

Therefore;

h(0) = 1

h(0) is the minimum value of h(t)

c. After 30 minutes, we have;

h(30) = 10•cos((π/4)×30 + π) + 11 = 11

Learn more about the Ferris wheel here:

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Answer:

C. 9 miles/gallon

Step-by-step explanation:

Answer:

Maybe 10? I'm sure though

Step-by-step explanation:

The probability that the next person will purchase exactly one costume is given by: 68/399

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

The total number of visitors to the website is 314 + 68 + 17 = 399.

Out of these 399 visitors, 68 purchased exactly one costume.

Therefore, the probability that the next person will purchase exactly one costume is given by:

68/399

This fraction cannot be simplified any further, so the final answer is:

68/399.

To learn more about probability from the given link:

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#SPJ1

Answer:

Homeowners insurance

Step-by-step explanation:

Homeowners insurance is designed to protect your home from what are called "perils." A peril is your exposure to risk or something that causes loss or destruction. … Homeowners 2 (HO2): This policy protects your property against 18 perils (including 11 perils from Homeowners 1). Typical homeowners insurance policies offer coverage for damage caused by fires, lightning strikes, windstorms and hail. But, it's important to know that not all natural disasters are covered by homeowners insurance. For example, damage caused by earthquakes and floods are not typically covered by homeowners insurance.

Answer:

10^5

Step-by-step explanation:
10 multiplied by itself five times (10*10*10*10*10) is 100,000.

Answer:

The cylinder can hold 508.68 in³

Explanation:

The volume of a cylinder can be calculated using the following rule:

Volume of cylinder = πr²h cubic units

where r is the radius of the cylinder and h is its height

Now, we are given that:

height of cylinder = 18 in

diameter of cylinder = 6 in which means that the radius of the cylinder is 3 in

π is 3.14

Substitute with the givens in the above equation to get the volume of the cylinder as follows:

Volume of cylinder = πr²h

Volume of cylinder = 3.14 * (3)² * 18

Volume of cylinder = 508.68 in³

The unknown angles in the cyclic quadrilateral is as follows:

∠BGX = 74° (sum of angles in a triangle)

∠BGF = 180° (opposite angles of cyclic quadrilateral are supplementary)

∠BCF = 100°(sum of angles in a triangle)

∠BCG  = 26°

∠BFG = 22°

A cyclic quadrilateral has all its angles equal to 360 degrees. The sum of angles in a cyclic quadrilateral is equals to 360 degrees.

Let's find the missing angles as follows:

∠BGX = 180 - 48 - 58 = 74° (sum of angles in a triangle)

∠BGF = 180 - 100 = 80° (opposite angles of cyclic quadrilateral are supplementary)

∠BCF = 180 - 22 - 58 = 100°(sum of angles in a triangle)

∠BCG = 100 - 74 = 26°

∠BFG ≅ CBF = 22°(alternate angles)

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Answer:

Step-by-step explanation:

We can think of this problem like a triangle that Tom, Blair, and Marcia live in.

This triangle is a right triangle.

the opposite is 3, the hypotenuse is 7, and the adjacent side is unknown.

Solving for the adjacent side will give us the distance that Tom and Blair live from each other

a^2 +b^2 = c^2

3^2 + b^2= 7^2

Now we solve for B

7^2 =49

3^3=9

9+b^2=49

Now we subtract

49-9=40

9+40=49

The square root of 40 is 6.3246

Now we check our work

3^2 +6.32^2=7^2

9+ 40 =49

The answer is, tom and Blair live approximately 6.3246 blocks from each other

Hope this helps!

Answer:

68/100

Step-by-step explanation:

It would be this because, with percentages, 100 is full. Therefore, we can just make 68 be out of 100. Hope this helps :)

Answer:

11.9

Step-by-step explanation:

Making sure your calculator is in degree mode, we have:

[tex] \cos(32) = \frac{x}{14} [/tex]

[tex]x = 14 \cos(32) = 11.9[/tex]

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$32000\\ r=rate\to 6.25\%\to \frac{6.25}{100}\dotfill &0.0625\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &6 \end{cases} \\\\\\ A=32000\left(1+\frac{0.0625}{1}\right)^{1\cdot 6}\implies A=32000(1.0625)^6\implies A\approx 46038.78[/tex]

Answer:

y=2x+4

Step-by-step explanation:

Hi there!

We are given the points (0, 4) and (2,8)

We want to write the equation of the line that passes through these two points

There are 3 ways to write the equation of the line, but the most common way is with slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

So, to use this way, we need to find the slope of the line

The slope can be calculated using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We are already given the points needed to find the slope, but let's label them to avoid any confusion

[tex]x_1=0\\y_1=4\\x_2=2\\y_2=8[/tex]

Now substitute these values into the formula.

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{8-4}{2-0}[/tex]

Subtract

m=[tex]\frac{4}{2}[/tex]

Divide

m=2

The slope of the line is 2

Here is the equation of the line so far:

y=2x+b

Now we need to find b

As stated before, b is the y intercept of the line, which is the point in where the line passes through the y axis; the value of x at this point is 0

One of the points we were given earlier is actually the y intercept of the line; that point is (0, 4) *notice how x=0 at this point

The value of b is the value of y at the y intercept; in this case, the value of b is 4

Substitute 4 as b into the equation

y=2x+4

Hope this helps!

See more on this topic here: https://brainly.com/question/27172025

Answer:

A  How many hours do you spend at the food court each month? is a statistical question

Step-by-step explanation:

Because that can have many answers unlike where is the food court in the mall? that question is not statistical because there can only be one answer and so are all the other ones.

Answer:

How many hours do you spend at the food court each month?

Step-by-step explanation:

I just took test got 100% this answer is correct

How many hours do you spend at the food court each month?

Answer:

B

Step-by-step explanation:

Answer:

the answer is 60

Step-by-step explanation:

brainliest please

Answer:

B.)   I'm not 100% sure

Step-by-step explanation:

Hope this helped

hope it helps....!!!!!

Answer:

Step-by-step explanation:

Use identity

Here we have a = 6y, b = 2

Correct choice is A

Answer:

6

Step-by-step explanation:

52+52=104
104/7=14.8

7*14=98
104-98=6

Answer:

the perfect square is 9x²

Step-by-step explanation:

√(3×)⁴

=(3x)²

=9x²

Answer:

i think I'd be / the answer is 46

Answer:

6.0

Step-by-step explanation:

practice many times

The table represents linear because the x represent the exponential functions

Answer:

Step-by-step explanation:

x³+23x²+162x+360=0

x³+12x²+11x²+132x+30x+360=0

x²(x+12)+11x(x+12)+30(x+12)=0

(x+12)(x²+11x+30)=0

(x+12)[x²+6x+5x+30]=0

(x+12)[x(x+6)+5(x+6)]=0

(x+12)(x+6)(x+5)=0

x=-12,-6,-5

Answer: 4

Step-by-step explanation:

4 times 2 is 8 if you make 4 eighths you will get 1/4 a

Answer:

500%

Step-by-step explanation:

500% is 500/100 which is just 5*4=20

Answer:

friday

Step-by-step explanation:

Answer:

50°

Step-by-step explanation:

In a parallelogram opposite angles have the same measure. Angle ABC has then the same measure of angle ADC, which is 38°+12°=50°

Answer:

R80625

Step-by-step explanation:

Total Cost : 60000 + 4500 = 64500

To make 25% profit: 64500 X 1.25 = 80625

Answer:

look at the picture i have attached and tell me what you think???

Step-by-step explanation:

parallel is two lines that go like this \\ or like this =

perpendicular is two lines that go like this +

which is it?

Answer:

they are parallel as gradient is the same because in first equation coefficient of x is -2 and in second equation after rearranging equation in form of y= mx + c, m is -2