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
SSSSS [86.1K]
3 years ago
15

A sector of a circle of 7cm has an area of 44cm².calculate the angle of the sector,correct to the nearest degree π =22\7​

Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0

Answer:

\theta=102.85^{\circ}

Step-by-step explanation:

Given that,

The radius of circle, r = 7 cm

The area of sector, A = 44cm²

We need to find the angle of the sector. The formula for the area of sector is given by :

A=\dfrac{\theta}{360}\pi r^2

Solve for \theta.

\theta=\dfrac{360A}{\pi r^2}\\\\\theta=\dfrac{360\times 44}{\dfrac{22}{7}\times 7^2}\\\\\theta=102.85^{\circ}

So, the angle of the sector is equal to 102.85^{\circ}.

You might be interested in
15. 12 kg çilekten 6 kg reçel
Agata [3.3K]

Answer:

12kg

Step-by-step explanation:

because 2×2×2+4=12

jskgx

6 0
3 years ago
I do not understand this! please help!
Bad White [126]

Answer:

So this is an algebra question, yes?

So an equation of a line follows this format: y=mx+b.

(m is your slope. b is the y-int)

In order to get to that equation, you use the formula: y-y¹=m(x-x¹).

(this is your point-slope formula)

If you are given two points, they want you to use this formula to find the slope:

y²-y¹ all divided by x²-x¹. (Fraction form).

so, label the points.

(0,6) 0 will be x¹. 6 will be y¹.

(3,0) 3 will be x².. 0 will be y².

(0-6) all over (3-0).

you get -6 over 3. You can simplify that to -2.

-2 is your slope.

so plug that into the second formula along with either one of the points given to you. I am going to choose (0,6) randomly.

y-6=-2(x-0)

Then you solve like a regular equation.

y-6=-2x. [-2×0 is 0 so dont include it]

y=-2x+6 [bring the -6 over by adding it]

There is your equation of the line that passes through both of those points.

Slope intercept form is the equation that has both the slope (-2) and the y intercept (6).

Point-slope form is the long formula we used to get the slope intercept form. It is called that because it shows a point on the graph (0,6) and the slope (-2).

Normally, they will ask you for the slope-intercept form.

Hope this helps.

7 0
3 years ago
Help me please! i'll give you that brain thing
mr_godi [17]

Answer:  

10

Step-by-step explanation:

6 x 10(x) = 60

60+12=72

hope this helps!

4 0
3 years ago
What does CLT stand for
hammer [34]

Answer:Center for Law and Technology

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Some time in the future a human colony is started on Mars. The colony begins with 50000 people and grows exponentially to 200000
Hoochie [10]

Answer:

P(t) = 50000 e^{0.0069315 t}

Step-by-step explanation:

For this case since the population follows an exponential model we have the general equation:

P(t) = P_o e^{rt}

Where P(t) represent the population at time t. t represent the years since the starting year.

r represent the growth/dcay constant rate

For this case we have the initial condition given : P(0) = 50000 and if we replace this into the general equation we have:

50000 = P_o e^{r*0} = P_o

And the equation would be:

P(t) = 50000 e^{rt}

Now we can use the second condition given P(200) =200000 and replacing into the general formula we got:

200000= 50000 e^{200t}

We can divide both sides by 50000 and we got:

4 = e^{200t}

Now we can apply natural log on both sides:

ln(4) = 200t

And then:

t = \frac{ln(4)}{200}=0.0069315

So then our final equation would be given by:

P(t) = 50000 e^{0.0069315 t}

4 0
3 years ago
Other questions:
  • Identify the phrase that relates to the study of geography.
    13·1 answer
  • Represents the distance between -12 and -5 on a number line?
    9·1 answer
  • Use the simple interest formula to find the ending balance.
    7·1 answer
  • point a is on line segment RT. Given ST = 2x, RT = 4x, and RS = 4x -4 determine the numerical length of RS
    11·1 answer
  • HELP ASAP !!!<br> I dont know how to do this i really need help
    15·1 answer
  • What is the solution to the equation? <br><br><br>5(n - 1/10) = 1/2​
    5·1 answer
  • Please help me it would be AMAZING if you can!!!!
    10·2 answers
  • A family wants to remodel a house and spend at most $135,000 total for the entire project. a)If the builder wants to make a 15%
    8·1 answer
  • What is the missing numerator?
    11·1 answer
  • 22 is 9% of what number? (round to the nearest tenth)
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!