On an escalator, you move 2 feet vertically for every 3 feet you move horizontally. When you reach the top of the escalator, you have moved a horizontal distance of 90 feet. Find the height of the escalator.

On An Escalator, You Move 2 Feet Vertically For Every 3 Feet You Move Horizontally. When You Reach The

Answers

Answer 1

The height of the escalator is as calculated using trigonometric ratios.

We know that in a right angled triangle the trigonometric ratios are

tan θ = perpendicular ÷ base

For a right angled triangle the tanθ is defined as the ratio of the perpendicular to the base of the triangle . The side opposite the angle θ is the perpendicular and the side adjacent to the θ is the base .

Now it is given that for every 2 feet vertically moved the horizontal distance moved is 3 feet.

Now using the trigonometric ratio of tanθ

tan θ = 2 / 3

Now we will use this ratio to calculate the vertical height for horizontal movement of 90 feet .

Now, the height is given as h .

∴ tan θ = h / 90

or, 2 / 3 = h / 90

or, h = 60 feet

Therefore the height of the escalator is 60 feet.

To learn more about trigonometric ratios visit:

https://brainly.com/question/1201366

#SPJ1


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Convert the speed of sound 767 miles per hour to meters per hour. [1000

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783 per hour is the real deal answer

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V= u + wz
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If x2 = 30. what is the value of x? ​

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Answer:

5.4772255750516 that's if it is x squared

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Answer:

Bottom answer

Step-by-step explanation:

This says the absolute value of a number is greater than 3.

First, any positive number greater than 3 will work.

But since they also say the absolute value, any negative lower than -3 will also work.  For example, the absolute value of -4 is 4 which is greater than 3.

However, it cannot be 3 or -3 since it must be greater than 3.  If you notice the bottom answer has an OPEN circle on 3 and -3 which means those two numbers are not included in the answer.  It is anything greater than 3 and anything less than -3 but not including those two numbers.

Answer:

4th option

Step-by-step explanation:

d | > 3

The solution is going to be all the points that are more than 3 units away from zero , but not equal to zero

- 4 and 4 are more than 3 units away from zero

The required graph is one with an open circle at - 3 and 3 with

arrow pointing left from - 3 and arrow pointing right from + 3

This is indicated on the 4th graph

PLease answer ASAP BRAINLEST!!1

Answers

Answer:

-7(2x-3y+.7)

Step-by-step explanation:

-14x+21y-4.9

Rewrite in terms of -7

-7 * 2x -7*-3y-7 *.7

Factor out -7

-7(2x-3y+.7)

Mary finds 8 pine cones on a walk. She finds 3 more pine cones than bobby finds. How many pine cones does bobby find?

Answers

Uhhhh uhhhhh I think it’s a 54 I think


It’s actually 11

Find f(0), f(3), and f(5) for the following function: f(x) = 3x + 1
f(0) =
f(3) =
f(5) =

Answers

Answer:

1, 10, 16

Step-by-step explanation:

Substitute the given values of x into f(x)

f(0) = 3(0) + 1 = 0 + 1 = 1

f(3) = 3(3) + 1 = 9 + 1 = 10

f(5) = 3(5) + 1 = 15 + 1 = 16

Can someone help me answer this question

Answers

Answer:15 should be on the x and add all together with the 69

Step-by-step explanation:

if everything in a store is 20% off and the discounted price of an item is $18.00 what is the regular price?

Answers

Answer:

14.4 dollars

Step-by-step explanation:

If you buy an item at $18 dollars with a 20% discount, you will pay 18 - 3.6 = 14.4 dollars


What is the total surface area of a right cylinder with diameter 14 inches, and height 5 inches

Answers

Answer:

The total surface area is 527.79in²

Step-by-step explanation:

I am REALLY good at area!

What is the standard form of function f?


f(x)=4(x+6)+5


Substitute numerical values into the equation for a, b, and c.

Answers

Answer:

A = 4; B = -1 ; C = -29

Step-by-step explanation:

y = 4(x + 6) + 5

y = 4x + 24 +5

y = 4x + 29

Standard form: Ax + By = C

 4x - y = -29  

Answer:

Step-by-step explanation:

Hope this Helps ;)

hot pizza have a discount offering 20% discount on all its pizzas
the pizza is reduced to £5.60 what is the original price of the pizza?

Answers

The answer would be 7

solve the system using the elimination method.
3x - 7y = -18
4x - 2y = -24

Answers

3x-7y=-18
4x-2y=-24
——————
12x-28y=-72
12x-6y=-72
——————-
12x-28y=-72
-12x+6y=72
——————-
-23y=0
y=0
——————-
3x-0=-18
3x=-18
x=-6
——————-
COORDINATES: (-6, 0)

Help with answer 10 please!!!

Answers

Answer:

b, d, e, f

Step-by-step explanation:

if there is direct variation then one variable equals the other by a constant

for example, y = 2x would indicate that every 'x' value is twice the 'y' value

therefore:

the line must be straight

pass through the point of origin

each point represents the same ratio

points are connected to form a straight line

X+2x-5+6= 0 How would you picture model this to solve for x?

Answers

Hey there!

x + 2x - 5 + 6 = 0

1x + 2x - 5 + 6 = 0

3x + 1 = 0

SUBTRACT 1 to BOTH SIDES

3x + 1 - 1 = 0 - 1

CANCEL out: 1 - 1 because that gives you 0

KEEP: 0 - 1 because that helps solve for the x-value

0 - 1 = -1

NEW EQUATION: 3x = -1

DIVIDE 3 to BOTH SIDES

3x/3 = -1/3

CANCEL out: 3/3 because that gives you 1

KEEP: -1/3 because it gives you the value of x

SIMPLIFY IT

x = -1/3

Therefore, your answer is: x = - 1/3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

4x - 3 = 5 X=? can anyone tell me please

Answers

Answer:

x = 2

Step-by-step explanation:

4x - 3 = 5

4x = 8

x = 8/4

x = 2

------------

4 (2) - 3 = 5

8 - 3 = 5

5 = 5

answer: x = 2

help me im having trouble on slopes

Answers

Answer:

The slope-intercept form of an equation looks like this: y=mx+b

The m stands for the slope and the b stands for the y-intercept.

We need two points from the line to write out this equation.

For example (-2,0) and (1,2)

Now that we have the slope, we can plug it into our equation: y= 2/3x + b

To get b, our y-intercept, we just need to plug in one of the points found and solve. For example (-2,0)

Now that we have both our m and b values, we can plug them in to get our equation: y=2/3x + 4/3

Step-by-step explanation:

[tex]m= \frac{y1-y2}{x1-x2} = \frac{0-2}{-2-1}[/tex]

[tex]m=\frac{-2}{-3} = \frac{2}{3}[/tex]

[tex]0=\frac{2}{3}(-2)+b[/tex]

[tex]0=-\frac{4}{3}+b\\ 0+\frac{4}{3}=-\frac{4}{3}+\frac{4}{3}+b\\ 0+\frac{4}{3}=b\\ \frac{0*3}{3}+\frac{4}{3}=b\\ \frac{4}{3}=b[/tex]

What is the slope of the line passing through the points (6, 7) and (1, 5)?

Answers

Answer: it’s a fraction and it’s 2/5

Step-by-step explanation:

The slope is 2/5, 5-7 divided by 1-6=2/5

1. Anthony and his sister, Ciara, are saving their money to buy $240 MP3 players. They each plan to buy their own player.
Anthony starts off with $50 in his bank account and adds $20 each week. Ciara starts off with $10 in her bank account and
adds $30 each week. Complete each of the tables below based on the information given. The first table has been started for
you.
Anthony
Ciara
Week (x)
Process
Total dollars
(y)
Week (x)
Process
Total dollars
(y)
0
50 + 20.0
50
0
1
50 + 20 1
70
1
2
2
3
3
3
4
4
5
5
8
00
8
10
10

Answers

Answer:

See below.

Step-by-step explanation:

Anthony                                                              Ciara

Week (x)    Process     Total dollars    Week (x)    Process  Total dollars

                                             (y)                                                      (y)

0                50+20•0        50                     0            10+30•0          10

1                 50 + 20•1       70                      1             10+30•1           40

2                 50 + 20•2      90                    2             10+30•2          70

3                 50 + 20•3      110                    3             10+30•3        100

4                 50 + 20•4      130                   4             10+30•4        130

5                 50 + 20•5      150                   5             10+30•5        160  

8                 50 + 20•8      210                   8             10+30•8        250

10                50 + 20•10    250                 10            10+30•10        310

Consider the line y=-1/2x+9 What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line?

Answers

Answer:

Parallel line slope = - 1/2

Perpendicular line slope = 2

Step-by-step explanation:

1 pts
Graph the linear function y +8 = 2(x + 2)
-8
4
8
o
IA
2,8)
(014)

Answers

Answer: In the picture

please give me a brainliest answer

can anybody help me with this?

Use this graph of f to find the solutions to f(x) = 0.

Answers

Another way to say f(x) is y, so y=0 at -2 and 10. :)

Can some pls help me

Answers

Answer:

5.29

Step-by-step explanation:

(Side)^2 = (Hypotenuse)^2 - (Side)^2

(Side)^2 = (8)^2 - (6)^2

(Side)^2 = 64 - 36

(Side)^2 = 28

Side = √28

Side = 5.29

>> Answer

_________

[tex] \: [/tex]

a² = c² - b²

a² = 8² - 6²

a² = 64 - 36

a² = 28

a = √28

a = 27

the sum of four times a number and 2 is 10. find the number.​

Answers

Answer:

What is the number 2

Step-by-step explanation:

2*4=8

8+2=10

If f(x) = 2x^2 - 3 and g(x) = x + 1, find g(f(x)).

Group of answer choices

2x^2 - 2

2(x+1)^2 - 3

2x^2 + 2

2x^3 + 2x^2 - 3x - 3

Answers

Answer:

g(

x

2

3

)

=

2

x

2

7

Step-by-step explanation:

brainliest

Solve the equation −4(x − 1) + 6x = 2(17 − x)
solve for x.

Answers

Answer:

x = 15/2

Step-by-step explanation:

-4x + 4 + 6x = 34 - 2x

2x + 2x = 34 - 4

4x = 30

x = 30/4

x = 15/2

A beach volleyball court is 9 meters wide and 18 meters long. The rope used
for the boundary line costs $1.58 per meter. How much would it cost to buy a
new boundary line for the court?

Answers

Answer:

$85.32

Step-by-step explanation:

The boundary is the perimeter of the rectangle of 9 m x 18 m:

P = 2(9 + 18) = 54 m

Cost of the boundary line:

54*$1.58 = $85.32

Which part of the water cycle would follow step D in the diagram shown?



A) Transpiration
B) Condensation
C) Evaporation
D) Precipitation

Answers

Answer:

A) Transpiration

Step-by-step explanation:

It is showing plants and trees losing water to the air.

Hope this helps!

what is the unit rate of 588 and 12

Answers

Answer:

49

Step-by-step explanation:

588  divided by 12                        49

___                                  =           -------          

12    divided by 12                           1

Hope this helped, click thanks if it did

First one will be marked brainest GOOD LUCK!!!

Answers

Answer:

The 3rd one

Step-by-step explanation:

Answer:

the third option

Step by step explanation

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