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
zhuklara [117]
3 years ago
14

The bottom of Ignacio's desktop is 74.5cm from the floor. Ignacio's sits in his adjustable chair, and the tops of his legs are 4

9.3cm from the floor. Each clockwise rotation of the knob on the chair raises Ignacio's legs by 4.8cm. Write an inequality to determine the number of clockwise rotations, r, Ignacio could make with the knob without his legs touching the desk
Mathematics
1 answer:
dsp733 years ago
6 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.  

You might be interested in
Please hurry <br> Select all the points that are on the graph of the line<br> 3x + 5y = 20 ?
Lynna [10]

Answer:

x=5

y=1

Step-by-step explanation:

3*5=15

5*1=5

15+5=20

8 0
2 years ago
Write the equation in point-slope form of the line that passes through the given point and has the given slope (4,-7); m= -1/4
kicyunya [14]

Answer:

y + 7 = -1/4(x - 4)

General Formulas and Concepts:

<u>Algebra I</u>

Point-Slope Form: y - y₁ = m(x - x₁)  

  • x₁ - x coordinate
  • y₁ - y coordinate
  • m - slope

Step-by-step explanation:

<u>Step 1: Define</u>

Slope <em>m</em> = -1/4

Point (4, -7)

<u>Step 2: Write Function</u>

y + 7 = -1/4(x - 4)

6 0
3 years ago
NO SCAM. PLEASE SHOW WORK. WILL GIVE BRAINLY TO CORRECT ANSWER.
sergeinik [125]

Answer:

140

Step-by-step explanation:

A regular polygon is a shape with equal sides and angles. Because of this, we can write the following equation to set two sides equal to each other:

3a+b+3=2a+2b+6

Solving, we will get a in terms of b:

3a=2a+b+3,\\a=b+3

Now we can substitute a for (b+3) into our equation:

5a-2b+1=2a+2b+6,\\5(b+3)-2b+1=2(b+3)+2b+6,\\3b+16=4b+12,\\-b=-4,\\b=\boxed{4}

Therefore, the length of each side of this polygon is 5(4+3)-2(4)+1=28.

Since the perimeter of the polygon consists of all five sides, the perimeter is:

p=28\cdot 5 =\boxed{140}

6 0
3 years ago
Read 2 more answers
What is the pattern of the trend line equation in this graph?
kondaur [170]

The pattern of the trend line from what we can see here shows the existence of a positive upward trend.

<h3>What is a positive upward trend?</h3>

We can see that the graph has fluctuations which have an upward trend over the years. This upward trend can be gotten from the straight line that was drawn on the graph.

It slants to the top. This shows us that the trend is positive and rising over the period of time that we have in the graph. In the graph, the upward trend can be seen from the fact that there has been a rise in the temperature of the city over the time period that was illustrated. The increase in temperature rose from 31.5 to 33 degrees period of time.

Hence we can conclude that The pattern of the trend line from what we can see here shows the existence of a positive upward trend.

Read more on trend lines here: brainly.com/question/27194207

#SPJ1

4 0
2 years ago
A urn contains 3 red and 5 black balls. Tom first withdraws a ball from the urn and Mary withdraws a ball from the urn without r
Papessa [141]

Answer:

The answer is B

Step-by-step explanation:

I learned this from my math teacher

6 0
2 years ago
Read 2 more answers
Other questions:
  • Interpret the results in the context of your original research question. Do your analyses support your expected findings? Explai
    9·1 answer
  • How do you solve 7.86 x 4.6
    12·1 answer
  • NEED HELP PLEASEEEE!
    14·1 answer
  • The function fx) = 5 reflected over the y-axis. Which equations represent the reflected function? Select two
    6·1 answer
  • (2x - 3)² + 5<br> Factor
    13·1 answer
  • Using the expression 30y – 6c find the value of the expression when: y = -4 and c = 1.
    12·1 answer
  • Molly’s dad measures her height to be 62 3/8 inches. Six months later, he measures her height again. He says she has grown 1 3/4
    8·1 answer
  • Solve x2 = 144<br> A) x = ±12 <br> B) x = ±72 <br> C) x = ±288 <br> D) x = ±20,736
    10·1 answer
  • Given f(x) = 1/3(4 – x)^2 ,<br> what is the value of f(16)?
    13·1 answer
  • [ 1 ] check whether -3 and 3 are the zeroes of the polynomial x² - 9.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!