1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
asambeis [7]
3 years ago
6

An escalator lifts people to the second floor of a building 25 feet above the first floor. The escalator rises at a 30 degree an

gle. How far does a person travel from the bottom to the top of the escalator?

Mathematics
1 answer:
ch4aika [34]3 years ago
7 0

9514 1404 393

Answer:

  50 ft

Step-by-step explanation:

The side lengths in a 30-60-90 triangle have the ratios 1 : √3 : 2. The longest side is 2 times the length of the shortest side.

In this geometry, that means the length of the escalator is 2 times its height, so is ...

  x = 2(25 ft)

  x = 50 ft . . . . . distance a person travels

You might be interested in
THIS IS THE LAST QUESTION ON MY PACKET WHOEVER ANSWERS GETS BRAINLIEST AND 50 POINTS
max2010maxim [7]

Answer:

B

Step-by-step explanation:

3 8/9 - 1/3

1/3=3/9

3 8/9 - 3/9= 3 5/9

3 0
2 years ago
Read 2 more answers
Ill mark brainlist plss help
postnew [5]

Answer:

nonvascular plants

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A sheet of paper 90 cm-by-66 cm is made into an open box (i.e. there's no top), by cutting x-cm squares out of each corner and f
NNADVOKAT [17]

Answer:

26 - \sqrt{181} cm

Step-by-step explanation:

The volume of the box is:

V = height * length * width

V = x*(66 - 2*x)*(90 - 2*x)

V = (66*x - 2*x^2)*(90 - 2*x)

V = 5940*x - 132*x^2 - 180*x^2 + 4*x^3

V = 4*x^3 - 312*x^2 + 5940*x

where x is the length of the sides of the squares,  in cm.

The mathematical problem is :

Maximize: V = 4*x^3 - 312*x^2 + 5940*x

subject to:

x > 0

2*x < 66 <=> x < 33

In the maximum, the first derivative of V, dV/dx, is equal to zero

dV/dx = 12*x^2 - 624*x + 5940

From quadratic formula

x = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)}

x = \frac{624 \pm \sqrt{(-624)^2 - 4(12)(5940)}}{2(12)}

x = \frac{624 \pm \sqrt{104256}}{24}

x = \frac{624 \pm \sqrt{2^6*3^2*181}}{24}

x = \frac{624 \pm 8*3*\sqrt{181}}{24}

x_1 = \frac{624 + 24*\sqrt{181}}{24}

x_1 = 26 + \sqrt{181}

x_2 = \frac{624 - 24*\sqrt{181}}{24}

x_2 = 26 - \sqrt{181}

But x_1 > 33, then is not the correct answer.

5 0
3 years ago
HELP DUE AT 8:30 I NEED To Do DIS​
lbvjy [14]

Answer:

A

Step-by-step explanation:

5 0
2 years ago
35 is 5% of what number
Naily [24]
35 is 5% of the number 175.
5 0
3 years ago
Other questions:
  • Celia and Ryan are starting a nutrition program.Celia currently consumes 1200 calories a day and will increase that number by 10
    7·1 answer
  • A random sample of n=25 individuals is selected from a population with μ=20 , and a treatment is administered to each individual
    8·1 answer
  • A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 6% vinegar, and the second brand co
    6·1 answer
  • Suppose ABC is a right triangle with sides a, b, and c and right angle at C. Find the unknown side length using the Pythagorean
    8·1 answer
  • If i have 4 lilies 15 roses and 6 tulips what percentage are roses
    13·2 answers
  • The number of geese at a city park in the year 2015 was 132. The population is declining by 3 geese every two years. The populat
    14·1 answer
  • Find the measure of the indicated angle to the nearest degree.
    9·1 answer
  • What is the solution to –2(8x – 4) &lt; 2x + 5?
    6·1 answer
  • Given the line segment AD. AD=24 BC=12,AB=CD Find AB ?
    15·1 answer
  • Which six bottle offers shampoo at $0.48 per ounce?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!