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
jenyasd209 [6]
3 years ago
11

According to the graph, what is the value of the constant in the equation

Mathematics
1 answer:
wolverine [178]3 years ago
4 0

The question is missing the graph. So, it is attached below.

Answer:

(D) 3.2

Step-by-step explanation:

Given:

A graph of height versus width.

The equation given is:

Height = constant × Width

Rewriting in terms of 'constant'. This gives,

\textrm{Constant}=\frac{Height}{Width}------------- (1)  

The width is plotted on the X-axis and the corresponding height is plotted on the Y-axis.

The four points plotted on the line are:

(x, y) = (0.5, 1.6), (1, 3.2), (2, 6.4)\ and\ (3, 9.6).

Now, any point will satisfy equation (1).

Consider the point (0.5, 1.6). So, height = 1.6 and width = 0.5. Therefore,

\textrm{Constant}=\frac{Height}{Width}\\\\\textrm{Constant}=\frac{1.6}{0.5}=3.2

Also, we observe that for all the remaining points,

\dfrac{3.2}{1}=\dfrac{6.4}{2}=\dfrac{9.6}{3}=3.2.

Hence, the value of the constant is 3.2.

Option (D) is correct.

You might be interested in
What's 45 out of 58 in percentage?
Vladimir [108]
For \ any \ percentage \ you \ just \ take \ the \ number, \ here \ 45, \\ divide \ by \ the\ number \ here\ 58,\ and \ multiply \ by \ 100 \ \%. \\\\ \frac{45}{58}\cdot 100 \ \%= 0,7758 \cdot 100 \ \%=77,58 \ \% \approx 78 \ \%


5 0
3 years ago
Read 2 more answers
Please help and thank you
kondaur [170]

Answer:

Step-by-step explanation:

Let's see how well I can explain this. \frac{\pi}{6} is the same as a 30 degree angle which is in quadrant 1. If you picture the unit circle, right in the center of it is the origin. If you draw a straight line from 30 degrees and through the center (the origin), you will automatically "connect" with the reference angle of 30 (this is true for ALL angles on the unit circle). This puts us in quadrant 3. In quadrant 3, x is negative and so is y. So the terminal point of the reference angle for 30 degrees has the same exact values, but both of them are negative (again, because both x and y are negative in quadrant 3). I can't see your choices but the one you want looks like this:

(-\frac{\sqrt{3} }{2},-\frac{1}{2})

3 0
3 years ago
If f(x) = (x - 2) = x3 + 2x - 4 + 13<br> what is f(2)?
leva [86]

Answer:

f(2)=21

Step-by-step explanation:

f(2)=2^3+2*2-4+13=8+4-4+13=8+13=21

8 0
3 years ago
A central angle of a circle measures 1.5 radians. If the radius of the circle is 3 cm, what is the area of the related sector?
soldi70 [24.7K]

Answer:

Option B. 6.75\ cm^{2}

Step-by-step explanation:

we know that

The area of a circle is equal to

A=\pi r^{2}

we have

r=3\ cm

substitute

A=\pi (3^{2})=9 \pi\ cm^{2}

Remember that

2\pi radians subtends the complete circle of area 9 \pi\ cm^{2}

so

by proportion

Find the area of the related sector for a central angle of 1.5 radians

Let

x------> the area of the related sector

\frac{9 \pi}{2\pi}\frac{cm^{2}}{radians} =\frac{x}{1.5}\frac{cm^{2}}{radians}\\ \\x=9*1.5/2\\ \\x= 6.75\ cm^{2}

7 0
3 years ago
Gabriel is making a mixture of compost and soil to use for a special plant. He wants his final mix to be 2 parts compost to 6 pa
nata0808 [166]

Answer:

5/2 kg

Step-by-step explanation:

The ratio here is 2:6.  2 plus 6 is 8.

Then (2/8) times 10 kg represents the amount of compost needed; that comes to 20/8 kg, or 10/4 kg, or 5/2 kg.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Graph the solution<br><br>PLZZZ I NEED HELP ASAP
    15·1 answer
  • Explain how you know which coins could be show 0.77 of a dollar
    15·1 answer
  • What is the domain and range of the step function with the equation below? <br> f(x) = -3[ x ]
    6·2 answers
  • And engineer in blueprint calls for a 10.5 foot clearance from some pipes to the wall the pipes are currently 8.25 feet from the
    13·1 answer
  • Q2. Zara travelled in a train moving at an average speed of 120km/h and covered a distance of 40km towards East.
    10·1 answer
  • In Ms. Henrick's class, there are 10 boys and 12 girls. What is the ratio of boys to girls? Express your answer as a fraction in
    6·2 answers
  • What are two factors of 24 that add to be 10? separate each factor by a comma
    9·1 answer
  • The number 4129 is in the sequence calculate the number which comes immediately before 4129 in the sequence
    8·1 answer
  • Helppppppppppppppppppppp i will put answers correct gets marked Brainlyest
    5·2 answers
  • Which of the following lists of values contain rational numbers only?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!