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
kati45 [8]
3 years ago
12

The bottom of Ignacio’s desktop is 74.5 cm from the floor. Ignacio sits in his adjustable chair, and the top of his legs are 49.

3 cm from the floor. Each clockwise rotation of the knob on the chair raises Ignacio’s legs by 4.8 cm. Write an inequality to determine the number of clockwise rotations, r , Ignacio could make with the knob without his legs touching the desk.
Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
3 0

Answer: Ignacio can make 5 clockwise rotations.  

Step-by-step explanation: Given that the Ignacio's legs are already at a height of 49.3cm and each rotation of the chair knob raises his legs another 4.8cm, we can set up an inequality to determine the number of rotations Ignacio could make without his legs touching the desk, which is at a height of 74.5cm:

4.8r + 49.3 < 74.5  where 'r' is equal to the number of rotations

The sum of the Ignacio's original leg height plus the amount of height increased from the rotations of the know must be less than 74.5 in order for his legs not to touch.  Now, solve for 'r':

Subtract 49.3 from both sides:  4.8r + 49.3 - 49.3 < 74.5 - 49.3 or 4.8r < 25.2

Divide 4.8 from both sides:  4.8r/4.8 < 25.2/4.8 or  r < 5.25

Since the number of rotations must be less than 5.25, he can make 5 complete rotations.  

Simora [160]3 years ago
3 0

Answer:

5 rotations

Step-by-step explanation:

You might be interested in
What is a linear function on a graph
JulijaS [17]

Answer:

Step-by-step explanation:

A straight line that has one independent variable and one dependant variable.

6 0
3 years ago
Read 2 more answers
Evaluate a/b for a = 1/2 and b = -3/7 <br> Answers: <br> 3/14<br> -32/21<br> -3/14<br> -7/6
lapo4ka [179]
1/2 ÷ -3/7 = -7/6 The answer is -7/6
3 0
3 years ago
Please help me!<br> thanks
Licemer1 [7]

Answer:

   5

6 ---

   9

Step-by-step explanation:

7 0
3 years ago
How can you use polygons to approximate the circumference and area of a circle?
o-na [289]
By dividing the area of the polygon with the circles area.
4 0
3 years ago
PLEASE HELP ME PLEASE
olya-2409 [2.1K]

±1/2. The equation 4x^{2} =1 has two possible solutions +1/2 and -1/2.

The problem is a quadratic equations and it can be solved using the equation x=-b±\frac{\sqrt{b^{2} -4ac} }{2a}.

Ordering the quadratic equation given in the problem, we obtain 4x^{2} -1=0 where a = 4, b = 0, and c = -1

Substituting the values

x=±\frac{\sqrt{-4(4)(-1)} }{2(4)}=±\frac{\sqrt{16}}{8} =±\frac{4}{8} \\x=±\frac{1}{2}

6 0
3 years ago
Read 2 more answers
Other questions:
  • Please help please please
    5·1 answer
  • Amy had homework for math,science,and history.she spent 1/3 of her time working on math and 1/4 of her time working on science.
    15·2 answers
  • The opposite of the absolute value -8 is ____ Explain
    9·1 answer
  • Which equation shows direct variation? A. y-x=1. B. y/x=10. C. y=4/x. D. xy=5
    12·2 answers
  • (x - 5) + (x - 1)<br> Simplify
    14·2 answers
  • Abc is a right angled triangle. if b= 90°, ac = 96cm c= 30°
    8·1 answer
  • Can I have a little help on how to do this?
    5·1 answer
  • Help me do this Please please
    13·2 answers
  • A piece-wage earner collected the following weights of coffee beans each day over a week:13.3kg,10.8kg,14.4kg and 12,9kg.if she
    14·1 answer
  • Which shows the factored form of x2 – 12x – 45? (x 3)(x – 15) (x – 3)(x – 15) (x 3)(x 15) (x – 3)(x 15).
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!