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
rewona [7]
1 year ago
11

A seesaw has a plank of 4.5 m long which is supported by a pivot at its center and moves in a vertical plane above the pivot. If

the height of the pivot pillar above the ground is 1 m, through what maximum angle can the seesaw beam move?
Mathematics
1 answer:
andreev551 [17]1 year ago
8 0

Since the pivot pillar is 1 m above the ground, maximum angle can the seesaw beam move is 26.39°

The maximum angle can be gotten using trigonometric ratios answer the question,

<h3>What are trigonometric ratios?</h3>

Trigonometric ratios are the ratios of the sides of a triangle.

<h3>What are angles?</h3>

Angles are a measure of rotation or bearing.

Given that the seesaw plank is 4.5 m long and the pivot pillar is 1 m above the ground, when the seesaw is at maximum angle, it forms a right angled triangle with the ground.

It also forms a smaller similar triangle with the same maximum angle Ф which is gotten from the trigonometric ratio

sinФ = h/L where

  • h = height of pivot pillar above ground = 1 m and
  • L = length of midpoint of plank = 4.5m/2 = 2.25 m
<h3>Maximum angle seesaw beam can move</h3>

So, Ф = sin⁻¹(h/L)

= sin⁻¹(1 m/2.25 m)

= sin⁻¹(1/2.25)

= sin⁻¹(0.4444)

= 26.39°

So, maximum angle can the seesaw beam move is 26.39°

Learn more about maximum angle here:

brainly.com/question/26870667

#SPJ1

You might be interested in
2. Brian is filling a conic container with water. He has the container half full. The radius of the container is 5 inches and th
MakcuM [25]

Answer:

current volume of the water = 785.714 in²

Height of new container = 10 inches

Step-by-step explanation:

Radius of the container = 5 inches

Height of the container = 20 inches

Volume of the container = πR²H = (22/7) × 5² × 20 = 1571.428571428 in²

Since the container is half filled with water, volume of the water = 1571.428571428 ÷ 2 = 785.714 in²

b. Volume of cylinder = πR²H = volume of water from first container = 785.714 in²

Hence 785.714 = (22/7) × 5² × H

H = (785.714) ÷ [(22/7) × 25] = 10 inches

Height of new container = 10 inches

5 0
3 years ago
The density of aluminum is 2.375 grams per cubic centimeter. Find the volume of a portion of a sheet of aluminum that has a mass
Rufina [12.5K]
This is the concept of density, volume and mass of different materials; To calculate for the volume of an aluminium material with density of 2.375 grams per cubic centimeter and a mass of 0.78 Kilogram we proceed as follows;
Density=mass/volumemaking volume the subject we get;volume=mass/densitythus;mass=0.78 kg= 780 gdensity=2.375 g/cm^3Hence,volume=780/2.375=328.421 cm^3

4 0
3 years ago
The endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).the center of the circle is at the point , and its rad
Furkat [3]
 The midpoint of the points ( 4, 5.5 ) and ( 4, 10.5 ) is the center of the circle:
 C =(\frac{4+4}{2}, \frac{5.5+10.5}{2})
 C = ( 4, 8 ),  h=4, k=8
 r =\sqrt{(4-4)^{2} +(8-5.5)^{2} } = \sqrt{0+2.5^{2} }
 r = 2.5
 The equation of the circle in standard form:
 ( x - h )² + ( y - k )² = r²
 ( x - 4 )² + ( y - 8 ) = 6.25    
4 0
3 years ago
Read 2 more answers
8 less than 1/3 a number n is -13
AysviL [449]
Let's set up an equation.

so we know the answer is -13.
1/3 of a number (our variable) can be written as 1/3n.
8 less than that would be subtracting 1/3n by 8

so we have -13 = 1/3n - 8.

To solve:
Add 8 to both sides: -5 = 1/3n
Multiply both sides by 3 (to cancel fraction): -15 = n

You can check by plugging -15 into the equation we made.
7 0
3 years ago
Is this a Function?<br><br> A. Yes<br> B.No<br> C. Maybe<br> D. Other
kondor19780726 [428]
No because they share a x twice
8 0
3 years ago
Other questions:
  • What is the additive inverse of 16 5/7 ? A.-16 7/5 B..-16 5/7 C.16 7/5 D. -16
    13·1 answer
  • Did I put the correct answer? Please let me know ASAP! See the attachment.
    9·1 answer
  • If the sales revenue is $150,000 and the margin of safety is $30,000, then the break even sales will be
    11·1 answer
  • A ____ is written as an if-then statement A.conjecture B.counterexample C.conditional D.negation​
    15·2 answers
  • Pam bought several cartons of Giggle Fruit Drinks to sell during the track meet. She paid 50 cents per carton. She sold all but
    12·1 answer
  • HelpppPppppp me if u do ill give u a pringle
    7·1 answer
  • A bakery bakes 15 batches of 29 cupcakes each week. How many individual cupcakes do they make each week?
    10·2 answers
  • Complete the table for each function. then answer the questions that follow.
    6·1 answer
  • There were 75 people at a concert. Twenty five percent of them were younger than 13. How many people were thirteen or younger.
    11·1 answer
  • If angle A is congruent to itself by the Reflexive Property, which transformation could be used to prove ΔABC ~ ΔADE by AA simil
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!