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Murrr4er [49]
3 years ago
11

Find the area of a sector with a central angle of 140° and a diameter of 9.6 cm. Round to the nearest tenth.

Mathematics
1 answer:
olchik [2.2K]3 years ago
8 0

Answer:

A=28.1\ cm^2

Step-by-step explanation:

The area of a circular sector with a central angle θ and radius r is given by:

\displaystyle A=\frac{1}{2}r^2 \theta

<em>Note</em>: The angle must be in radians.

We need to find both the radius and the angle in radians.

Diameter = 9.6 cm

Radius r=Diameter/2=4.8 cm

Angle in radians= Angle in degrees*π / 180

θ = 140*π / 180 = 2.4435 rad

Now we calculate the area:

\displaystyle A=\frac{1}{2}(4.8)^2 2.4435

\boxed{A=28.1\ cm^2}

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Two farmers each have triangular plots of land in the diagram below with approximate values shown for lengths in feet
Ray Of Light [21]

Answer:

  • a) Plots are similar
  • b) x= 5577 feet

Step-by-step explanation:

<em>Refer to attached</em>

<h3>Question</h3>
  • a) Are the plots of land similar?  
  • b) Find to the exact value of x and rounded to the nearest tenth?
<h3>Solution</h3>

The small triangle have missing angle of 180° - (52° + 58°) = 70°

This is indicating both triangles have same 3 angle measures.

Since all angles are same, the triangles are similar.

<u>Corresponding sides, against corresponding angles are:</u>

  • 6180 and 8240
  • x and 7436

<u>As per property of similarity, the ratio of corresponding sides is same</u>

  • 6180/8240 = x/7436
  • x = 6180*7436/8240
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4 0
3 years ago
What is X divided by 5 if X=5?
Paraphin [41]

If you divide X which is 5 by 5, then you will get 1.

5^1 will be 5.

5 divided by 0 does not have a solution. It is not a number.

It is possible to subtract an integer with a negative sign from another number, for example 5-(-3). Multiplying two negative signs will make the sign positive, so the problem would then be this: 5+3. That equals 8.

1+1-1x1/1= 1

7 0
3 years ago
What is the perimeter of the figure?​
rewona [7]

Answer:

Oh! We should start with finding the lngths of the "curvy sides". As you can see there are 2 semi circles which we can combine to make one circle with a diameter of 7. The formula for the circumference of the circle is 2πr which is also equal to the diameter x π. SO the circumeference is 7π which is this case equals 22 since they are telling us to use  π as 22/7. I'm not sure about the rest but I hope this helped a little!!

Step-by-step explanation:

3 0
3 years ago
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Here is a simple math question
serg [7]

Answer: range: 49-22=27

median: 40+41=81 81/2=40.5

mean: add up all the numbers=485 485/12=40.4

mode: 39, 40 and 46

4 0
3 years ago
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The value of 4c + 5g if c = 2 and g = 1.5
bixtya [17]

Answer:

15.5

Step-by-step explanation:

4c + 5g

= 4(2) + 5(1.5)

= 8 + 7.5

= 15.5

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3 years ago
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