FERRIS WHEEL The Ferris wheel at an amusement park has a radius of 10.2 meters. A rider, who is sitting level with the center of the Ferris wheel, is 13.1 meters above the ground. At what height above the ground is the rider when the wheel rotates another 140°? Round to the nearest tenth if necessary.

Answers

Answer 1

Answer:

19.7 m

Step-by-step explanation:

Draw a circle to represent the ferris wheel with a 10.2 m radius. Draw a horizontal line through the circle center horizontal to the ground (at 13.1 m). Now draw a line from the center of the circle (ferris wheel) upward at 140 degrees until you reach the edge of the circle. Draw a line down from that point to the horizontal line at This is your right triangle to solve.

Hypotenuse is 10.2 m (radius of circle)

The angle of the triangle the supplementary angle of 140 degrees. 180-140=40 degrees

sin 40 degrees=rise /radius=rise/10.2

sin 40=0.6428=rise/10.2

rise=10.2(0.6428)

rise=6.6 m

13.1+6.6=19.7 m


Related Questions

An international company has 22,700 employees in one country. If this represents 23.1 of the company's employees,how many employees does it have in total?

Answers

Answer: 98268

Step-by-step explanation:

Given: In an international company,

Employees in one country = 22,700

If this is 23.1% of the total number of company's employees,

[[tex]1\%=\dfrac1{100}[/tex] , replace 'of' by '×']

i.e. 23.1% of (total employees) = 22700

[tex]\Rightarrow\ \dfrac{23.1}{100}\times\text{(total employees)}=22700\\\\\Rightarrow\ \text{Total employees}=\dfrac{22700\times100}{23.1}\\\\\Rightarrow\ \text{Total employees}=98268.4\approx98268[/tex]

Hence, there are 98268 employees in total.

guys I'm stuck plz help!!!!​

Answers

Answer:

I believe 70

Step-by-step explanation:

find the length of the altitude drawn to the hypotenuse.the triangle is not drawn to scale

Answers

Answer:

4√5

Step-by-step explanation:

Let's call it x

According to Euclidean theorem x^2 = 5×16

x^2= 80 and

x = 4√5

Write and simplify this numerical expression. Forty-two divided by seven plus the quantity three divided by six 1. Write the numerical expression. 2. Evaluate within parentheses. 3. There are no exponents to evaluate. 4. Multiply and divide from left to right. 5. Add and subtract from left to right.​

Answers

The write and simplification of the numerical expression is as follows:

The calculation is as follows;

1.  Write the numerical expression.  

[tex]42 \div 7 + (3 \div 6)[/tex]  

2.  Evaluate within parentheses.  

[tex]42 \div 7 + 0.5[/tex]

3.  There are no exponents to evaluate.

4.  Multiply and divide from left to right.  

[tex]6 + 0.5[/tex]

5.  Add and subtract from left to right.  

6.5

Learn more: https://brainly.com/question/1301963?referrer=searchResults

Answer:

6.5

Step-by-step explanation:

Which graph represents the function f(x)=-|x|-2?

Answers

Answer:

ind the absolute value vertex. In this case, the vertex for y=−|x|−2 is (0,−2).

(0,−2)

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(−∞,∞)

Set-Builder Notation:  {x|x ∈ R}

For each x value, there is one y value. Select few x values from the domain. It would be more useful to select the values so that they are around the x value of the absolute value vertex.

 x     y

−2   −4

−1    −3

 0   −2

 1    −3

 2   −4

Step-by-step explanation:

Answer:

The answer is C.

I hope this helps you!

Petra’s electricity supply company charges her a fixed quarterly sum plus a rate per unit for electricity used. In the most expensive quarter last year (January to March), she used 2 000 units and her bill was $250. In the least expensive quarter (July to September), she used 600 units and her bill was $138. She is now adding extra insulation to her home which is expected to reduce her overall electricity consumption by 25%. What can she expect her January to March bill to be next year (if there are no increases in overall tariffs)? *

Answers

Answer:

$210

Step-by-step explanation:

(January - March) charge last year :

Unit consumed = 2000

Bill = $250

(July - September) charge last year:

Unit consumed = 600 units

Bill = $138

Billing :

Fixed charge + rate per unit ;

Let fixed charge = c ; rate per unit = m

Billing can be represented by the equation :

mx + c = y

x = unit consumed ; y = total charge

Expensive quarter:

2000x + c = 250 - - - (1)

Least expensive quarter:

600x + c = 138 - - - (2)

From (2)

c = 138 - 600x ; plug into (1)

2000x + 138 - 600x = 250

1400x = 250 - 138

1400x = 112

x = 0.08

0.08 = x = rate per unit

From ; c = 138 - 600x

c = 138 - 600(0.08)

c = 90

Fixed charge = 90

Billing equation :

y = 0.08x + 90

If insulation will reduce unit consumption by 25%

Then, consumption in most expensive quarter will be :

(100 - 25)% * 2000

0.75 * 2000 = 1500 units

Charge will be :

(0.08*1500) + 90

= $210


Use the distributive property to simplify the expression and then evaluate. Let x= 4 and y= -2
-6(-2x + 3y + 8)

Answers

Answer:

12v-18y-48

Step-by-step explanation:

-6(-2v+3y+8)

12v-18y-48

A)distributive property of multiplication over subtraction
B)subtraction property of equality
C)associative property of multiplication
D)multiplication property of equality

Answers

Answer: sup brendalys it’s me Timotheus

Step-by-step explanation:

The answer is c I think

18 erasers cost $0.90, how much would 3 erasers cost?

Answers

Answer:

$0.15

Step-by-step explanation:

0.90/18=0.05

0.05x 3=0.15

Answer:

$0.15

Step-by-step explanation:

0.90/18=0.05

0.05x 3=0.15

Which expression correctly sets up the quadratic formula with x^2+1=2x-3

Answers

Given:

The quadratic equation is

[tex]x^2+1=2x-3[/tex]

To find:

The expression that correctly sets up the quadratic formula with the given equation.

Solution:

We have,

[tex]x^2+1=2x-3[/tex]

[tex]x^2+1-2x+3=0[/tex]

[tex]x^2-2x+4=0[/tex]

On comparing with [tex]ax^2+bx+c=0[/tex], we get

[tex]a=1,b=-2,c=4[/tex]

The quadratic formula is

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Putting [tex]a=1,b=-2,c=4[/tex], we get

[tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(4)}}{2(1)}[/tex]

Therefore, the required expression is [tex]\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(4)}}{2(1)}[/tex].

PLEASE EXPLAIN (Arithmetic Sequences )

If u59 = 1/10 and u100 = 1 19/20 for an arithmetic sequence, find the first term and the common difference

Answers

You have to subtract to get the inverse operation

A tracksuit costs £25. The price goes up by 5%. What is the new price?

Answers

Answer: £26.25

Step-by-step explanation:

10% of £25 = £2.50

Half of £2.50 = £1.25

therefore if you add £1.25 to £25 it equals £26.25

What is the value of the square root of 72 to the nearest tenth?

Answers

Answer:

8.5

Step-by-step explanation:

Because I used a calculator

The square root of 72 is 8.48528137424 ...

The hundredths digit (8) rounds up.

So the square root of 72 rounded to the nearest tenth is 8.5.

Now you can multiply this to see if the product is near 72.

8.5 times 8.5 is 72.25.

What is a decimal that is equivalent to the fraction 6/10

Answers

Answer:

0.60 or 0.6

Step-by-step explanation:

To convert you devide the two 6/10 is 0.6

0.6 is a decimal that is equivalent to the fraction 6/10

What is Number system?

A number system is defined as a system of writing to express numbers.

A fraction represents a part of a whole.

The given fraction is 6/10.

The fraction is six by ten

In the given fraction is six and denominator is ten.

We need to convert 6/10 to the decimal which is equivalent.

10 is the divisor and 6 is the dividend.

6/10=0.60

Six by ten equal to  zero point six

Hence, 0.6 is a decimal that is equivalent to the fraction 6/10

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

Part 1: Check your work now. Use the substitution
method to check when h= 5 will it make this equation
true?
8h + 5 = 6h + 15
Part 2: How much money do both Diego and Jazzy
make after working 5 hours? (Write in complete
sentences)

Answers

Answer:

For part 1, it is true.

2h = 5 x 2 = 10

5 + 10 = 15

For part 2, I don't what your referring to, is it the 8h + 5 = 6h + 15?

Answer:

8h +5=6h+15

8 x 5 + 5= 6 x 5 +15

35= 50

= 35/50

= 7/10

The tire has a diameter of 33 inches. If the tire rotates one time, about how many inches will the tire travel?

Answers

Answer: 103.62

Step-by-step explanation: 3.14 times 33 is equal to 103.62

7. Solve the proportion w/36 = 5/18 . (1 point)

a. W = 5

b. W = 10

c. W = 15

d. W = 20

Answers

Answer:

B, 10

Step-by-step explanation:

W/36=5/18

W/36=5/18 cress cross

18w=5x36

18w=180

18w/18=180/18

W=10

What is the product of one half and two thirds?

Answers

Answer:

Step-by-step explanation:

0.33333333333

Answer: 2/6 or 1/3 as simplest form hope his helps

Sean prepared 44 kilograms of dough after working 11 hours. How many hours did Sean work if he prepared 48 kilograms of dough? Assume the relationship is directly proportional.

Answers

This is an example of direct variation.

So,      44    48            

           11       x

For this, you have to use the formula, 44x = 48 × 11

= (48 × 11) ÷ 44 = 12

Hence, your answer is 12 hours

Need help again ASAP

Answers

Answer:

According to my calculator, the answer should be A) 5/6

please PlEaSe PLEASE SOLVE THIS!!!! I REALLY NEED HELP ON THIS. In ABC, m

Answers

Answer:

sorry, but there is nothing to answer here :(

Step-by-step explanation:

Answer:

in abc, M???

Step-by-step explanation:

68.8 rounded to one decimal place is ?

Answers

Answer:

68.8

Step-by-step explanation:

rounding to one decimal place is the same as rounding to the nearest tenth (see attached for reference).

In this case, 68.8 is already expressed as a number with one decimal place. No further manipulation is needed.

10. How much interest will be earned in 4 years
from $2,450 placed in a savings account at 62 %
simple interest?

Answers

Answer:

$6100.80

Step-by-step explanation:

$6100.90 i think sorry if wrong

pls helpppppppppp!!!!!!

Answers

Answer:

-100

Step-by-step explanation:

-4 * 5 * 5

Answer:

-100

Step-by-step explanation:

Help me please I realy need help

Answers

Answer:

sry i cant help u and your jumping horses

Step-by-step explanation:

Please help me with this one ☝️

Answers

Answer:

D

Step-by-step explanation:

add them together

If the length of leg x is 12 feet, what is the length in feet of the hypotenuse of each triangle? Record your answer in the boxes below. Be sure to use the correct place value .

Answers

Answer:15.00

Step-by-step explanation:

Answer:

The length of the hypotenuse of each triangle is 13 feet. Below is the explanation

Step-by-step explanation:

Given:

    In the middle, there is a square with 10 ft as the side length.

    An Isosceles triangle formed on each side of the square which height as 12 feet.

To find:

    The hypotenuse measure of the right triangle.

Let's use the Pythagoras theorem to find hypotenuse measures.

I'll attach the file to find the hypotenuse measure.

Hypotenuse measures 13 feet.

You can learn more:

https://brainly.com/question/20545047

whos prettier? doja cat or megan thee stallion

Answers

Answer:

The Stallion

Step-by-step explanation:

Answer:

megan thee stallion

Step-by-step explanation:

drag the numbers to the boxes to order them from least to greatest value

Answers

Answer:

what numbers?

Step-by-step explanation:

The size of a smart TV is measured along the diagonal length.
What is the approximate size, measured to the nearest inch,
of a 30.9 inch by 48.5 inch smart TV screen?
A. 58 inches
B. 64 inches
C. 1,654 inches
D. 3,307 inches

Answers

B. 64 inches! hope this helps :)
64 inches i believe
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