Use the Pythagorean Theorem, and the properties of right triangles to model an equation that fits the problem. One of the cables that anchors the center of the London Eye Ferris wheel to the ground must be replaced. The center of the Ferris wheel is 69.5 meters above the ground, and the second anchor on the ground is 23 meters from the base of the Ferris wheel. Approximately how long is the cable, and what is the angle of elevation (from ground up to the center of the Ferris wheel)

Answers

Answer 1

Answer:

73.21 m

71.68°

Step-by-step explanation:

Like the question has stated, we're to solve this using Pythagoras theorem.

Pythagoras theorem states that

opp² + adj² = hyp²

From the question, we're asked to find the hypotenuse, being given the opposite side and the adjacent. The opposite side is the center of the Ferris wheel above the ground, and that is 69.5 m. While the adjacent is the distance of the second anchor.

Succinctly put, we have

69.5² + 23² = hyp²

4830.25 + 529 = hyp²

hyp² = 5359.25

hyp = √5359.25

hyp = 73.21 meters.

Therefore, the length of the cable is 73.21 meters long.

To get the angle, we use the formula

Sin Φ = opp/hyp

Sin Φ = 69.5 / 73.21

Sin Φ = 0.9493

Φ = sin^-1 0.9493

Φ = 71.68°

Therefore, the angle of elevation to the center of the Ferris wheel is 71.68°


Related Questions

What is the solution to the inequality? -3x - 14 < -5

Answers

Answer:

-3x - 14 < -5

-3x < 9 (14 - 5)

x < 9: (-3)

x < -3

=> x = { -4, -5, -6, ...}

Step-by-step explanation:

evaluate in the following expression when x = 4 and y = 5​

Answers

Fraction with x squared plus y cubed in the numerator and 2 plus x in the denominator.
3.8
14.83
19.58
23.5

help plase im sorry please

Answers

Answer:

f(x) = 417(3.15) x the second option which is the only one with correct units from the question

Answer:

second one

Step-by-step explanation:

Select all the studies in which the results may have been skewed by bias.

a study of the popularity of a particular music genre, with a small standard deviation about the mean
a study on the heights of a group of fourth graders, where 90% of the data fell below the population mean
a study of the average annual rainfall, with 28% of the data having a z-score greater than 1
a study on employees’ commute time, with 90% of the data falling within 1 standard deviation of the population mean
a study with a significantly larger than expected standard deviation about the sample mean
a study on the average life span of a type of plant, where 50% of the data fell above the population mean

Answers

The studies in which the results may have been skewed by bias.

A study of the popularity of a particular music genre, with a small standard deviation about the mean.

What is a skewed (biased) result?

Others are:

A study on the average life span of a type of plant, where 50% of the data fell above the population mean.

A skewed or (biased) result, is known to often occur even if there was an accurate that is unbiased algorithm that is said to be seen as skewed (biased) data.

Note that when you If you wrongly remove or include some participants in your research, you can be able to get skewed data results.

Learn more about bias from

https://brainly.com/question/24491228

#SPJ2

A group of researchers investigated the effects of bed room lighting conditions in developing eye sight problems and found that A) Of a total of 202 children who slept in darkness, 12 percent were nearsighted. B) Of a total of 333 who slept with a nightlight, 44 percent were nearsighted, and C) Of a total of 90 who slept with a lamp on, 65 percent were nearsighted. After data was collected, researchers realized that they forgot to formulate a hypothesis. Your task is to 1. Write a Directional hypothesis for this study 2. Write a Non directional hypothesis for this study 3. Identify the control group of this study 4. Identify experimental group(s) of this study 5. Identify dependent and independent variables of this study

Answers

Answer:

Step-by-step explanation:

From the given information:

We are to find the following:

1)

Directional hypothesis: The directional hypothesis is the groups with different bedroom lightning conditions having a different proportion of eyesight proportions.

2)

The non directional hypothesis is each group having the same proportion of eyesight problems regardless and independent of the condition of the bedroom lightning.

3)

Control group: Children that slept in darkness

4)

Experimental groups: Children that slept in night light and those that slept with lamp.

5)

Independent variable: Light condition of the bedroom

Dependent variable: Eye sight problem.

please help!!!!!!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

if half of the trail mix is split in to 4, let's say the same for the other half. then there will be 8 bags.

please help me!! thank youu!!!

Answers

Answer:

24

Step-by-step explanation:

Area of a triangle

A = 1/2 bh

b=12

h=4

A= 1/2 * 12 * 4

A = 24

Solve for x
Pls help

Answers

Step-by-step explanation:

collect the like terms 12x+4=9x+8

12x-9x=8-4

3x=4

X=1.333

Answer:

8

Step-by-step explanation:

As both angles are corresponding their sum will be 180

➝12x+4+9x+8=180

➝12x+9x+4+8=180

➝21x+12=180

➝21x=180-12

➝21x=168

➝x=168/21

➝x=8

PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Below -2: -4.5, -2.5

Between -2 and 1: 0.5, -0.5

Above 1: 1.5, 4

Hope this helps!

Apply the distributive
property to write
equivalent expressions in
expanded form.
4(h+6) 7(3h + 3)

Answers

Answer:

25h + 45

Step-by-step explanation:

4(h+6) 7(3h+3)

4h + 24  21h + 21

25h + 45

What are some of the factors that would influence your insurance costs?
OA. Your gender.
OB. Where you live.
OC. The type of car you drive.
OD. All of the above.

Answers

Answer:

  D.  All of the above

Step-by-step explanation:

Insurance costs are influenced by any factor that can reasonably be tied to the cost of claims made against an insurance policy. These costs are carefully analyzed by insurance companies to determine correlations that may be influential.

__

In general, women have different driving habits than men, so gender has an influence on insurance costs.

Some areas of a city have different statistics related to vandalized or stolen vehicles, so may influence insurance costs. Certain areas may have different accident statistics, or may experience different kinds of accidents, so repair costs may differ by where you live or where you drive.

Some cars are more expensive to repair than others. Any car with custom features (stereo, upholstery, paint) will likely cost more to repair (and may be subject to more vandalism).

So, all of the above influence insurance costs.

I have $8$ pieces of strawberry candy (all identical) and $7$ pieces of rhubarb candy (all identical). Find the number of ways I can distribute this candy to $5$ children.

This is a math question,
Please Solve Correctly.

Answers

Given:

Number of strawberry candy = [tex]\bold{8\ pieces}[/tex]

Number of rhubarb candy = [tex]\bold{7 \ pieces}[/tex]

Find the number of ways for equally distributing candy to all 5 children

Using formula:

[tex]\to \bold{_{n} C_{r}=\frac{n !}{r!(n-r) !}}[/tex]

Calculating the distributing way for strawberry candy:

[tex]\to \bold{_{8} C_{5}=\frac{8 !}{5!(8-5) !}}[/tex]

           [tex]\bold{=\frac{8 !}{5! \ 3 !}}\\\\\bold{=\frac{8 \times 7 \times 6 \times 5!}{5! \ 3 \times 2\times 1}}\\\\\bold{=\frac{8 \times 7 \times 6 }{ 6}}\\\\\bold{=8 \times 7}\\\\\bold{=56}[/tex]

Calculating the distributing way for rhubarb candy:

[tex]\to \bold{_{7} C_{5}=\frac{7 !}{5!(7-5) !}}[/tex]

           [tex]\bold{=\frac{7 !}{5! \ 2 !}}\\\\\bold{=\frac{7 \times 6 \times 5!}{5! \ 2\times 1}}\\\\\bold{=\frac{ 7 \times 6 }{ 2}}\\\\\bold{=7 \times 3}\\\\\bold{=21}[/tex]

Adding both distributing ways:

[tex]\to \bold{56+21=77}[/tex] ways

Learn more:

probability: brainly.com/question/23044118


If anyone could help with this

Answers

The answer to this is 5

2.) Ms. Baker is out today. When she returns she hopes to see 100% of her 70
students to have completed and turned their work assigned by the sub. How
many students does Ms. Baker hope have their work assigned by the sub
completed and turned in?

Answers

Answer:

70

Step-by-step explanation:

100% means all of them.

70 % is correct i got this work before your welcome

Does this graph represent a function?

Answers

Yes and the correct one is A

Help me answer this for brainliest ​

Answers

Answer:

question 1(2)

answer 4

question 2(3)

answer 1

question 3(4)

(a)6; factored

(b)7; factored

c(8); factored

a group of preschoolers has 31 boys and 37 girls. What is the ratio of girls to boys

Answers

Answer:

37:31 or any other way of writing 37 to 31

Step-by-step explanation:

Write the ratio the same way the question asks, there are 37 girls and 31 boys. This cannot be simplified.

What is the measure of the angle of the hands on a clock if it is 3:24?

Answers

Answer:

from 3 o’clock until 3:20, the minute hand will move 1/3 of the way around the circle or 120 degrees. But the hour hand has also moved 1/3 of the way to the next number, or 10 degrees.

Answer:

42deg

Step-by-step explanation:

Let's see.

We'll consider 12:00 the "starting position"

The minute hand moves with the speed of 360deg in an hour, so 6deg per minute.

The hour hand moves with the speed of 360deg in 12hours, so 30deg per hour, so 0.5deg per minute.

at 3:24, the minute hand has moved 24*6deg=144deg from the starting position, while the hour hand has moved by 3*30deg + 24*0.5deg = 102deg

The absolute difference of the angles is 144deg-102deg = 42deg and it's the angle between the hands.

1. Explain how to write 1.25 divided by 0.8 three ways.

Answers

Answer:

Step-by-step explanation:

1.25/.8=a

[tex]\frac{5}{4} /\frac{4}{5}[/tex]

1.25/4/5

solution to the inequality 2b + 8 < 12 ? *

Answers

Answer:

abcdefgh

mea aab is the breadth and comment of a student

If <2 = 75 degrees and <3 = 30 degrees, find <3 and <4.

Answers

Answer:

angle 3 is 30 and 4 is 150 because total angle is 180 between 3 and 4

Graph the integer 0 to its opposite on the number line

Answers

Answer:

It would be graphed at 0.

Step-by-step explanation: The answer would be graphed at 0 on a number line because 0 is its opposite.

Hope this helps!

12,18,27,...
What is the 7th term in the sequence?

Answers

Answer:

[tex]T_7 = 136.6875[/tex]

Step-by-step explanation:

Given

12, 18, 27, ..

Required

Determine the 7th term

The above sequence shows a geometric sequence and the nth term is calculated by:

[tex]T_n = a * r^{n-1[/tex]

r is calculated by:

[tex]r = \frac{T_2}{T_1}[/tex]

[tex]r = \frac{18}{12}[/tex]

[tex]r = 1.5[/tex]

[tex]a = 12[/tex] --- First term

[tex]n = 7[/tex]

So:

[tex]T_n = a * r^{n-1}[/tex]

[tex]T_7 = 12 * 1.5^{7-1[/tex]

[tex]T_7 = 12 * 1.5^6[/tex]

[tex]T_7 = 136.6875[/tex]

The question that is asked

Answers

Answer:

the answer is 35.0° pls thank :)

Tell weather the angles are complementary or supplementary. The. Find the value of x. WITH EXPLANATION

Answers

They are complementary angles because they add up to 90 degrees.

X=10
Explanation: 6x10+1=61. 61+29=90

helpppp meeeee plz thee timee​

Answers

Answer:

the triangle is congruent by sss.

Answer:

they are congruent by s.s s axiom

2.1 What are variable costs?​

Answers

Variable costs are costs that change as the quantity of the good or service that a business produces changes.

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

Variable costs are costs that change as the quantity of the good or service that a business produces changes. Variable costs are the sum of marginal costs over all units produced. They can also be considered normal costs. Fixed costs and variable costs make up the two components of total cost. 

Hope it helps you!

Mark me brainliest pls....

Follow me!:)

Tammy ran 4 & 2/5 miles on Saturday. On Sunday she ran for 1/2 of the distance she
ran on Saturday.
Tammy ran Sunday.

Answers

Answer:

I need help right now with math

Step-by-step explanation:

Answer:

4 2/5 × 1/2= 2 1/5 / 2.2 miles

Step-by-step explanation:

hope this helps.

Sandy spent 1/3 of her money on a blouse, 1/4 of the remainder on food and $4 on a pen. If she had $20 left, how much money did she have at first?

A.$48
B.$56
C.$72
D.$144

Answers

D im not sure abt that

Someone solve for x pls

Answers

Answer:

Possibly wrong but 13.66?

Answer:

√8

Step-by-step explanation:

a^2 + b^2 = 4^2

a^2 + b^2 = 16

a^2 = b^2

a^2 = 8

a & b = √8

Brainilist Maybe?

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