A mailbox that is 4 1/2 feet tall casts a shadow that is 6 feet long. At the same time, a nearby ferris wheel casts a shadow 84 feet long. Find the height of the ferris wheel.
60 feet

Answers

Answer 1

Answer: 63 ft

Step-by-step explanation:

We can think of the shadow and height of objects as the catheti of a triangle rectangle.

We also know the relationship:

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

if we define:

Tan(θ) = k (a real number, such that will be the same number for every object, because it depends on the angle θ that will depend on the position of the sun)

opposite cathetis = heigt.

adjacent cathetus = length of the shadow.

Then we have:

k = height/length of the shadow.

For the mailbox, we know that the height is (4 + 1/2) ft and the shadow is 6ft long, then we have the equation:

k = (4 + 1/2)ft/6ft = 0.75

Then for the ferris wheel we know:

shadow length = 84ft

we can write the same equation as above:

k = 0.75 = height/84ft

0.75*84ft = height = 63ft

The ferris wheel is 63 ft high.

Answer 2

Answer:

63 feet

Step-by-step explanation:

Trust me got it right


Related Questions

what’s the answer for each question? number 1 and number 2 are separate.

Answers

Answer:

1. is 38 and 69 degrees i think

2. is 90 degrees bc it is a 90 degree angle and 90 + 90 = 180 which all interior angles equal.

Pleaseeee I need help ASAP!!!

Answers

Answer:

6 times.

Explanation:

Since she served 3 salads that contain 2/3 cup of blueberries each, and her measuring cup only holds 1/3 cup, she'll have to measure the blueberries 6 times in total, doing 2 measurements per salad (2 x 1/3 = 2/3). Since 2 x 1/3 cup is 2/3 cup, and there are 3 salads in total (multiply 2 measurements by 3 salads), this means she measures the blueberries 6 times.

Here a easy question for 20 points

Answers

Answer:

Step-by-step explanation:

the smaller triangle x=112

the larger triangle x=62

A coin toss bet is placed between two friends such that the person who wins four tosses first is the winner. What is the total number of possible ways in which the bet can play out

Answers

Answer:

who wins four tosses first is the winner.

possible cases-7 tosses, 6 tosses, 5 tosses, 4 tosses

We get cases of Win of Head first-4 tosses

All 4 must be Head

Number of ways = 1

5 tosses-5th must be Head  

there are 3 Head   out of 4  in  ⁴C₃ = 4 Ways

6 tosses-6th must be Head  

there are 3 Head  out of 5  in  ⁵C₃ = 10 Ways

7 tosses-7th must be Head  

there are 3 Head   out of 6  in  ⁶C₃ = 20 Ways

Cases of Head wins = 1+ 4 + 10 + 20  = 35

similarly cases when  Tails Wins = 35

Total Possible cases = 35 + 35 = 70

70 is total number of possible ways in which the bet can play out.

Step-by-step explanation:

I hope that this helps u out..

Which of the following formulas can be used to calculate the area of a circle with diameter d?

Answers

Answer:

The last one

Step-by-step explanation:

To find an area of a circle its with the formula...

A = π [tex]r^{2}[/tex]

But since the diameter is given, and not the radius we need to divide the diameter by 2 (since half the diameter gives you the radius)

And the only one there that divides the diameter with the correct formula is the last one

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Any part of this will help my brother needs help and I don’t know how to do fraction models. Giving brainliest to whoever helps

Answers

Answer:

1.) 5/12

2.) 0.375

3.) 1/4

4.) 10/21

what is .03 as a whole number

Answers

Answer:

we are going to be an equal number of adenine and thymine include the following at the

by the way it’s not 3:4 just saying because i got that wrong:( i’ll give brainliest to the right answer❤️

Answers

Answer:

8 to 9

Step-by-step explanation:

read the instructions

Answers

Answer:

Step-by-step explanation:

[tex]\frac{5x - 2}{4}+\frac{1}{2}=\frac{3y+2}{2}[/tex]

Multiply the equation by 4

[tex]4*\frac{5x - 2}{4}+4*\frac{1}{2}=4*\frac{3y+2}{2}\\[/tex]

5x - 2 + 2 = 2*(3y + 2)

5x +0 = 2*3y + 2*2

5x = 6y + 4

5x - 6y = 4 --------------------(I)

[tex]\frac{7y+3}{3}=\frac{x}{2}+\frac{7}{3}\\[/tex]

Multiply the equation by 6

[tex]6*\frac{7y+3}{3}=6*\frac{x}{2}+6*\frac{7}{3}\\[/tex]

2*(7y + 3) = 3x + 2*7

14y + 6 = 3x + 14

14y = 3x + 14 - 6

14y = 3x + 8

-3x + 14y = 8 ------------------------(II)

Multiply equation (I) by 3 and equation (II) by 5 and then add

(I)*3              15x - 18y = 12

(II)*5           -15x  + 70y = 40     {Now add}

                          52y = 52

                              y = 52/52

                            y = 1

Substitute y =1 in equation (I)

5x - 6*1 =  4

5x - 6 = 4

      5x = 4 +6

      5x = 10

         x = 10/5

x = 2

PLEASE HELP! click on the picture link down below for the question

Answers

Answer:

b being more than one tells u its not negitive

b being less than one tells u its negitive

a being negitive means... its negitive lol

that tells u its more than 0

i think that means its 1/2

means its positive

means its negitive

means its positive

means its negitive



Goran wants to save $900 to buy a TV. He saves $18 each week. The amount, A (in dollars), that he still
needs after w weeks is given by the following function.
A (w)= 900 - 18
Answer the following questions.
(a) If Goran still needs S576, how many weeks has he been saving?
weeks
(b) How much money does Goran still need after 5 weeks?
PLZ HELP :(

Answers

A is 18 weeks and B is and he will need 810 more dollars after 5 weeks for b

What is the distance from L to M?

A. 10 units
B. 14 units
C. 2 units
D. 100 units

Answers

Answer:

[tex]LM = 10units[/tex]

Step-by-step explanation:

[tex]L( - 5,4),M(3, - 2)[/tex]

[tex]L( - 5,4),M(3, - 2) \\ L( { x }_{ 1 } , { y }_{ 1 } ),M( { x }_{ 2 } , { y }_{ 2 } )[/tex]

[tex]LM = \sqrt{ {( { x }_{ 2 } - { x }_{ 1 } )}^{2} + {( { y }_{ 2 } - { y }_{ 1 } ) }^{2} } [/tex]

[tex]LM = \sqrt{ {(3 - - 5)}^{2} + {( - 2 - 4)}^{2} } [/tex]

[tex]LM = \sqrt{ {(3 + 5)}^{2} + {( - 2 - 4)}^{2} } [/tex]

[tex]LM = \sqrt{ {(7)}^{2} + {( - 6)}^{2} } [/tex]

[tex]LM = \sqrt{64+ 36} [/tex]

[tex]LM = \sqrt{100} [/tex]

[tex]LM = 10units[/tex]

HELPPP
14y
Combine Like Terms for this expression.
7m - 10 - 4m + 3

Answers

Answer:

3m -7

Step-by-step explanation:

7m - 10 - 4m + 3, now if you change the spots.....

7m - 4m - 10 + 3 which can be simplified to 3m -7.

Hope this helps :D

Plot the intercepts to graph the equation. x+y=3

Use the graphing tool to graph the equation. Use the intercepts when drawing the line. If only one intercept​ exists, use it and another point to draw the line.

Answers

Answer:  You will have points plotted at +3 on the y axis, and +3 on the x axis.

The attachment shows what your graph should look like.

Step-by-step explanation:

The intercept is where the graphed line crosses an axis.

To find the y-intercept, substitute 0 for x and solve for y:

0 + y = 3.  Subtracting 0, you have y = 3

So you can plot a point at +3 on the y axis.

To find the x- intercept, substitute 0 for y, and solve for x

x + 0 = 3  Again, subtracting 0, x = 3

So plot a point on the x-axis at +3

Use the line tool to connect the two points.

A bag contains 2 RED beads, 6 BLUE beads, and 12 GREEN beads. If a single bead is picked at random, what is the probability that the bead is RED or GREEN

Answers

Answer:

70% probability that the bead is RED or GREEN

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

2 + 12 = 14 red or green beads out of 2 + 6 + 12 = 20 beads

14/20 = 0.7 = 70%

70% probability that the bead is RED or GREEN

PLZ help
solve for x

Answers

if you put a picture of the equation here, then i will be able to help you! :)

A professional soccer player has a large collection of headbands in their wardrobe comprised of five different colours. The headbands can only be distinguished by their colour. If the soccer player grabs four headbands from their wardrobe for an upcoming soccer tournament, how many possible outcomes are there

Answers

Answer: There are 70 outcomes.

Step-by-step explanation:

The number of combinations for n things if r thing s have been chosen ( repetition is allowed) = [tex]C(n+r-1, n-1)[/tex]

Here , n= 5 , r= 4

The possible outcomes = [tex]C(5+4-1, 5-1)= C(8,4)[/tex]

As [tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]

So, The possible outcomes = [tex]\dfrac{8!}{4!(8-4)!}[/tex]

[tex]=\dfrac{8\times7\times6\times5\times4!}{4\times3\times2\times1\times4!}\\\\=70[/tex]

Hence, there are 70 outcomes.

Please help. I’ll mark you as brainliest if correct

A rectangle has a length of 12 inches has a perimeter of 38 inches. What is the missing side of the rectangle ?

What is the area of the rectangle ?

Answers

Answer:

The area is 84. The missing side is 7.

Step-by-step explanation:

Okay so perimeter = length+length+width+width right? If 12 is the length, then 12+12=24, which is the length part of perimeter. 38-24=14 and 14/2=7. The missing side is 7 because 12+12+7+7=38 and the area is 84 because 12x7=84. Good luck!

Answer: w = 7, A = 84

P = 2l + 2w
38 = 2(12) + 2w
38 = 24 + 2w
14 = 2w
w = 7 in.

A = lw
A = (12)(7)
A = 84 in^2

Tyson is 6 feet 2 inches tall. There are 2.54 centimeters in 1 inch. What is Tyson's height in centimeters?

A. 20.32 cm

B. 187.96 cm

C. 177.80 cm

D. 15.78 cm​

Answers

B because 74x2.54 is 187.96
I got 72 because 6 ft has 12 inch and added 2 to 72 which is 74

Answer:

b

Step-by-step explanation:

the amount of sales tax varies directly with the cost of the purchase if the sales tax is 2.40 on a purchase of 40.00 what would be the sales tax on a purchase of 60.50​

Answers

Answer:

A

Step-by-step explanation:

Solve one hundred twenty six divided by nine 14 15 16 17 PLEASE HELP! the answer choices are A. 14 B. 15 C. 16 D. 17

Answers

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Hailey's plane climbed 4,500 feet in 90 seconds. How fast did her plane climb every second?

Answers

Answer:

4590 it is 4590

Step-by-step explanation:

Please help u will get brainliest

Answers

She will need 1/2 cup of onions if she is making 12 cups of soup.

Answer:

1/2 cups

Step-by-step explanation:

She will need 1/2 cups.

She needs 1/2 cups, because she is making 12 soups.

Hope this helped

Please Help!

The areas of two rectangles can be represented by the functions shown.
Which function represents the difference in the areas, h(x) = f(x) – g(x)?
h(x) = 4x2 – 4x – 11
h(x) = 4x2 – 4x + 11
h(x) = –4x2 + 4x + 11
h(x) = 4x2 – 4x – 9

Answers

Answer:

B. h(x) = 4x² - 4x + 11

Step-by-step explanation:

Given:

f(x) = 5x² - 2x + 1

g(x) = x² + 2x - 10

Required:

h(x) = f(x) - g(x)

Solution:

h(x) = (5x² - 2x + 1) - (x² + 2x - 10)

= 5x² - 2x + 1 - x² - 2x + 10 (distributive property)

Collect like terms

= 5x² - x² - 2x - 2x + 1 + 10

h(x) = 4x² - 4x + 11

Select all the expressions that are greater than 3.
Group of answer choices

1.67 +4

2.97 + 0.004

3.017 - 0.05

4.5-1.47

5.503 - 2.52

Answers

Answer:

1.67 + 4

4.5-1.47

Step-by-step explanation:

1.67 + 4 = 5.67

4.5 - 1.47 = 3.03

Write a function inches_to_ft that takes a number of inches x and returns the number of feet. One foot equals 12 inches.

Answers

Answer:

def inch_to_feet (x):

return 1/x

Step-by-step explanation:

Implementating the program Using python 3 :

def - - - > function declaration keyword

inch_to_feet - - > function name

x - - > argument which the function takes

The value returned is a conversion of x which is in inches to feets

1/12 feet = 1 inch

To see the value returned ;

We can run the code :

def inch_to_feet(x):

return (1/12)*x

b = inch_to_feet(12)

print(b)

The code above will print 1.

please help me thank you so much:)

Answers

Step-by-step explanation:

5 for $2.25 means 1 for $0.45

So, we have

1: 0.45

2: 0.9

3: 1.35

4: 1.8

10: 22.5

15: 33.75

20: 45

100: 225

n = 0.45c

Solve for x x/12+6=8

x=​

Answers

Answer:

X=24

Step-by-step explanation:

X/12 + 6 = 8

we can multiply the equation to 12 to make it simple. We get:

X + 72 = 96

So X = 96-72=24

Help me I don’t get this question

Answers

the answer is : y=-2x-13

Find the value of -|-2 + 9|
A. 7
B. -11
C. -7​

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-(-2 + 9)  Equation/Question

Step 2

-(-2 + 9)  Simplify

-(-2 + 9)

Step 3

-(-2 + 9)  Solve by adding

-(7)

=-7

Answer

-7

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