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
LiRa [457]
3 years ago
5

The ramp rises 20 degrees from the ground and a vertical distance of 30 inches . How much horizontal distance does the ramp cove

r ? Round to the nearest tenth
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
5 0
We can see  a right triangle in this problem,
where a vertical distance is a leg that opposite to the angle 20⁰ , and horizontal distance is an adjacent leg to the 20⁰ angle.
So, 
tan (20⁰) = opposite leg/adjacent leg 
tan (20⁰) = vertical distance/horizontal distance
tan (20⁰) = 30 /horizontal distance

horizontal distance= 30/tan(20⁰) ≈ 82.4 in.
You might be interested in
A conical tank is 8 meters high. The radius of the top is 2 meters. At what rate is the water running out if the depth is 3 mete
lina2011 [118]

Answer:

DV/dt    = 0,2355 m³/min

Step-by-step explanation:

Conical tank volume    V  =  1/3 *π*r²*h

r radius at the top    2 meters

when depth of water is 3 meters the radius of the level of water is:

let     α  angle of vertex of cone then

tan∠α   = 2/8        tan∠α   = 1/4         tan∠α  = 0,25

At the same time when water is at 3 meters depth  radius is

tan∠α  = r/3             0,25*3= r         r  = 0,75 m

Now

DV/dt    =  (1/3)*π*r²*Dh/dt            

Dh/dt  =  0,4 meters/min

By substitution

DV/dt    = 0,2355 m³/min

3 0
3 years ago
Mr smith owns a bike store and typically marks up the bikes 20% over the price that the bikes cost him. The bikes cost him 69.95
ICE Princess25 [194]

Answer: $83.94

Step-by-step explanation:

  • 20% = 0.2

69.95 + 69.95(0.2) = 69.95(1 + 0.2) = 69.95(1.2) = 83.94

8 0
3 years ago
8h + (-7.9d) - 14 + 5d - 3.4h
Fynjy0 [20]

☁️ Answer ☁️

So I got:

-2.9d + 4.6h - 14

Hope it helps.

Have a nice day hyung/noona!~  ̄▽ ̄❤️

7 0
3 years ago
What is the distance between points F(6,4) and G(14,19)?
Marrrta [24]

Answer: I put a photo of what I did

6 0
3 years ago
Find the least 5-digit odd number that can be formed from the digits<br><br><br>1 2 0 3 8
DochEvi [55]
The answer is 1 0 2 3 8 

Glad to help :D
5 0
3 years ago
Other questions:
  • Lines l, m, and n are parallel.<br><br> What is the value of x?<br><br> Here is the picture.
    14·2 answers
  • Garcia's bike rentals it costs $28 to rent a bike for 5 hours. How many dollars does it cost per hour of bike use?
    12·2 answers
  • Here are multiple questions can you plz solve them ​
    11·1 answer
  • Which algebraic expression is a trinomial? x3 + x2 – 2x3 – x2 4x3 + x2 – x6 – x +
    7·2 answers
  • the area of a circle is 28pi cm^2. find the area of a circle with a radius half the length of the original circle.
    13·1 answer
  • Consider the arithmetic sequence 3,8,13,18 find S15
    5·1 answer
  • HALP PLS!!! IMMA MAKE YOU THE BRANLIEST IF YOU ANSWER THIS FIRST!
    9·1 answer
  • I need help with this problem :)
    9·1 answer
  • Tom swam at a pool each day, for 5 days, during one week. The number of people
    13·1 answer
  • Combine like terms to simplify the<br> equation below.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!