An escalator lifts people to the second floor of a building, 28 ft
above the first floor. The escalator rises at a 30° angle. To the
nearest foot, how far does a person travel from the bottom to,
the top of the escalator?

Answers

Answer 1

9514 1404 393

Answer:

  56 ft

Step-by-step explanation:

The geometry can be modeled by a right triangle with an unknown hypotenuse, and a side opposite the 30° angle that is 28 ft.

  sin(30°) = (28 ft)/hypotenuse

  hypotenuse = (28 ft)/sin(30°) = 56 ft

The length of the escalator is 56 feet.


Related Questions

what is the axis of symmetry of the graph of the function f(x)=3x^2+12x-4

Answers

Answer:

Step-by-step explanation:

Use the equation x = -b/2a => x = -12/6 = -2.

the axis of symmetry is x=-2
a=3, b=12
x=-12/(2)(3)
x=-2

15 Points for these angles! Come on Fam let's do this

Answers

Answer:

d. alternate exterior angles

Step-by-step explanation:

corresponding are example 1 and 4

alternate interior for example 4 and 5

consecutive 3 and 5

Can someone please check my answer?!

Answers

I think that’s the correct one:)

5) Amanda won 65 lollipops playing the bean bag toss at the county fair. At
school she gave one to every student in her math class. She only has 39
remaining. How many did she give away?

Answers

Answer:27

Step-by-step explanation:Can you make me brainist

Find a ⋅ b.

a = 9i + 5j, b = 4i + 3j

Answers

Answer:

Step-by-step explanation:

51

<13, 8>

<36, 15>

-21

9i+5j x 4i+3j
Factor
=9i+20ij+3j
= (9+20j)i+3j
=3j+(9+20j)i =answer

The volume of the barrel is 4.6 m. It is half water. How many liters of water are there?​

Answers

Answer:

2300 liters of water.

Step-by-step explanation:

The volume of the barrel is 4.6 m^3, and we know that this is half--filled with water.

Then the total volume of water inside the barrel is:

(4.6 m^3)/2 = 2.3 m^3

So we have 2.3 m^3 of water, and we want to write this in liters.

We know that 1 liter = 0.001 m^3

then:

1 = (1 L)/(0.001 m^3)

Now we can rewrite:

2.3 m^3 = (2.3 m^3)*1 = (2.3 m^3)* (1 L)/(0.001 m^3) = (2.3 m^3/0.001 m^3)* 1L

2.3 m^3 = 2300 L

So we have 2300 liters of water in the barrel.

find the total surface area of the following cuboids length=7cm,breadth=4cm,height=3cm​ please help me with this problem.help me guys

Answers

Answer:

122

Step-by-step explanation:

SA=2lw+2lh+2hw

SA = 2(7)(4) + 2(7)(3) + 2(3)(4)

SA = 122

Frances walks 15 km west, then turns 90 degrees north and walks 30 km.

Displacement = ?
Distance = ?

Answers

Distance and displacement are 45 km

Find the circumference of both circles to the nearest hundredth. The circumference of the green circle is about meters

Answers

*The diagram is attached below.

Answer:

Circumference of Green Circle = 138.16 m

Circumference of Blue Circle = 69.08 m

Step-by-step explanation:

The radius of the green circle = 22 m

Radius of the blue circle = ½ the radius of the green circle = ½*22 = 11 m

Circumference is given as C = 2πr

Circumference of the Green circle = 2*3.14*22 = 138.16 m

Circumference of the Blue Circle = 2*3.14*11 = 69.08 m

PLEASE HELP ILL GIVE BRAINLIEST

Sides that are in the same relative position are called?

Answers

Answer:

Transformation that changes the size of a figure, but not the shape.

Step-by-step explanation:

Corresponding sides.

How many times can Henry expect to roll a 4 if he rolls a fair number cube 120 times?

Answers

Answer:

30

Step-by-step explanation:

4.

30

[tex]120 \div 4 = 30[/tex]

Describe how the graph of y = 2x is the same and different from the graph y = 2x - 7 .
Explain or show your reasoning

Answers

They are the same because they have the same slope but are different because they have different y intercepts.

here are the score that Jenna has received on her seven quizzes 16 11 20 16 12 17 18 what is the lower quartle

Answers

Answer:

12

Step-by-step explanation:

You need to list from least to greatest:

11, 12, 16, 16, 17, 18 , 20

16 is the median, and the lower quartile will be the median of the 3 numbers on the left, which is 12

Answer:the answer is 12

Step-by-step explanation:

Acellus sux

Which square root is between 4 and 5?
O 10
O 14
O24
O 32

Answers

Answer:

√24 because it's lies on between of√16 and√25.

The only square root that falls between 4 and 5 is √24.

What is Number system?

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

We can estimate the value of each square root and see which one falls between 4 and 5:

The value of √10 is less than 4 because √10 is, 3.16

√14 is less than 4.5 because  √14 value is 3.76

√24  is greater than 4.5 because √24 value  is 4.89

√32  is greater than 5 because 5 x 5 = 25, and √32 is slightly smaller than 5.

Therefore, the only square root that falls between 4 and 5 is √24.

To learn more on Number system click:

brainly.com/question/22046046

#SPJ7

What is 70% of 58?
Please help me I will really appreciate it ♡

Answers

Answer:

40.6

Step-by-step explanation:

0.7(58)

Answer:

40.6

Step-by-step explanation:

When finding a percentage of something you have to turn the percentage into a decimal. You divide by 100 so 70/100 is equal to 0.70. Simply mutiply this by 58 so .7*58=40.6

70% of 58 = 40.6

Hope this helps!!

-Ketifa

(Can I get brainliest?)

How wide is an 80" widescreen TV (MEASURED DIAGONALLY) if it has a height of 48”?

Answers

Answer:

64"

Step-by-step explanation:

Pythagoras theorem

√(80²-48²)

√4096

=64

Answer:

Width = 64"

Step-by-step explanation:

It forms a right angled triangle. We can use Pythagorean theorem to find the base of the triangle

Base² + altitude² = Hypotenuse²

base² + 48² = 80²

base² +  2304 = 6400

           base² = 6400 - 2304

            base² = 4096

           base = √4096

base =  64

Width = 64"

Find the measure of the indicated angle. Round to the nearest degree.
25
54

Answers

Answer:

62 degrees

Step-by-step explanation:

Cos ? = 25 / 54

25 / 54 = 0.4629

Cos-1 of 0.4629 is 62.4215

Round to the nearest degree

62.4215 = 62

What is the domain of the function y= (square root) x+6-7

Answers

Answer:

the third choice.  x>_-6

Step-by-step explanation:

1. When you have the square root of (x+6), it shifts the graph 6 units to the left.  

2.  So the x values would start and include -6 and continue growing to the right.

3. So the domain (x values) of the equation is x is greater than or equal to -6

Select ALL the ratios that are equivalent to 16 : 6
32:12
8:3
3:8
4:2​

Answers

Answer:

32:12

8:3

Step-by-step explanation:

If you multiply both sides of 16:6 you'll get 32:12

If you divide both side of 16:6 by 2 you'll get 8:3

The same thing needs to be done to both sides to make the ratio equivalent

Answer:

16:6

32:12

8:3

multiply/divide both sides by the same number to get the answers :)

16/2:6/2 = 8:3 and so on

Please help failing math. find the area of the figure.

Answers

Answer:

The area of the figure is 24 square units

Step-by-step explanation:

There are four identical triangles and a square in this figure

The area of the square is 16

The area of the triangles are 2

2 x 4 = 8

16 + 8 = 24

Answer:

24

Step-by-step explanation:

HELP MARK BRAINLY
what's the surface area of this figure

Answers

Answer:

I THINK ITS 400 TRY IT OUT:)

if g(x)=x^2-5, determine g(h+1)

Answers

It is 126 x=67 I hope this helps

solve for slop / y- intercept and the equation ​

Answers

Answer:

Slope: 1/2

Y-intercept: -1

Equation: y = 1/2x - 1

y-intercept: -1

slope: 1/2

equation: y = 1/2x -1

Explanation: y=mx+b

b is -1 and mx is 1/2 hope this helps!

URGENT DUE TOMORROW

Please show working out in an equation form if possible

Answers

a) We were told that relationship between the value of the car and its age is linear. This means that it can be represented with a linear equation such as

y = mx + c

y is the dependent variable and in this case, it is the value of the car, V

x is the independent variable and in this case, it is the age of the car, a

The above equation is the slope intercept form equation where

m represents slope

c represents y intercept

The formula for determining slope is expressed as:

m = (y2 - y1)/(x2 - x1)

We were told that a 5 year old car is worth 14000. This means that

When x1 = 5, y1 = 14000

Also, the same car is worth 11400 after 2 years. This means that the car is worth 11400 after 7 years. Thus,

when x2 = 7, y2 = 11400

Thus,

slope, m = (11400 - 14000)/(7 - 5) = - 2600/2

m = - 1300

We would find the y intercept, c by substituting m = - 1300, x = 5 and y = 14000 into the slope intercept equation. Thus,

14000 = - 1300 * 5 + c

14000 = - 6500 + c

c = 14000 + 6500

c = 20500

Thus, by substituting m = - 1300 and c = 20500 into the slope intercept equation, the linear equation representng this scenario is

y = - 1300x + 20500

By replacing with the given variables,

V = - 1300a + 20500

b) When the car was new, it means that a = 0. By substituting a = 0 into the equation, we have

V = - 1300 * 0 + 20500

V = 20500

The value of the car was $20500 when it was new

???? Help please you get 40 points if u help

Answers

Answer:

B) P = 8x + 4

Step-by-step explanation:

Formula:

P= 2( l + w)

P = 2( x + 2 + 3x)

P = 2(4x + 2)

P = 8x + 4

B) P=8x+4
Hop this helped

A tip for great service is 20% of the bill. If the bill for dinner is $32, what is the total cost of dinner?

Answers

[Aforementioned Text Is Unavailable, Please Try Again Later]

What is b PLSSSS ANSWER
WILL GIVE BRAINLIEST

Answers

Answer: -15 divided by 0.3 is the same as -15/3/10 but to solve we can do -15 times 10/3 witch is -150/3=-50

Step-by-step explanation:

Pls I need help thank you

Answers

Answer:

<NMK and <OPR

Step-by-step explanation:

Help me with this :))))))

Answers

Answer:

CE = 21.2

Step-by-step explanation:

CE = CD + DE = 14 + 7.2 = 21.2

Cant seem to figure out the total surface area

Answers

Answer:

189

Equation for surface area is 2bs +b squared ( b is base and a is side)

Step-by-step explanation:

2bs+b squared

2 * 7 * 10=140

B squared = 7 squared which is 49

140 + 49=189.

Hope it helped.

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