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Shtirlitz [24]
3 years ago
15

Find the area of a sector with a central angle of 120° and a diameter of 7.3 cm. Round to the nearest tenth.

Mathematics
1 answer:
Andru [333]3 years ago
6 0

Answer:14cm^{2}

Step-by-step explanation:

diameter=7.3cm

radius=\frac{diameter}{2}

          =\frac{7.3}{2}

          =3.65cm

angle =120°

area=\frac{angle (tita)}{360} × \frac{\pi r^{2} }{1}

=\frac{120}{360} × \frac{22}{7} ×3.65^{2}

=13.95cm^{2}

≅14cm^{2}

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Alecsey [184]

Answer:

2y+6

Step-by-step explanation:

2 negatives equal a positive

3 0
3 years ago
1.How do you turn 34% into a fraction.
bearhunter [10]
For the first two, put it them over 100. So number 1 would be 34/100 or 17/50 reduced. Number 2 is 77.5/100 and since it is a decimal, I would keep it at over 100. Number 3 put 8/10 or 4/5 reduced and number 4 is different. Think of it as money and how a quarter is in relation to a dollar. You have 4 quarters in a dollar, so since you have .25%, it is 1/4.
5 0
3 years ago
The size of angle aob is equal to 132 degrees and the size of angle cod is equal to 141 degrees. find the size of angle dob.
Varvara68 [4.7K]

angle AOB = 132 and is also the sum of angles AOD and DOB. Hence 
angle AOD + angle DOB = 132°    ---> 1 

angle COD = 141 and is also the sum of angles COB and BOD. Hence 
angle COB + angle DOB = 141°    ---> 2

Now we add the left sides together and the right sides of equations 1 and 2 together to form a new equation. 

angle AOD + angle DOB + angle COB + angle DOB = 132 + 141       ---> 3 

We should also note that: 
angle AOD + angle DOB + angle COB = 180° 

Therefore substituting angle AOD + angle DOB + angle COB in equation 3 by 180 and solving for angle DOB:
180 + angle DOB = 132 + 141 
angle DOB = 273 - 180 = 93° 

8 0
3 years ago
Can someone explain this? and what are the answers- :'_
Sunny_sXe [5.5K]

Answer:

1) b=-1.6 2) g=3 3) x=0.8 4) w=4.9 5) p=-16.2 6) y=9.2

Step-by-step explanation:

Use inverese operations to isolate variables ex. x+4=2

x times 2 = 6                                                            -4

/2                                                                               x=-2

x=3                                                                        

                                                                               

4 0
3 years ago
A and B can fill a cistern in 4 hours. A and C can fill
kirill [66]

Answer:

20 hours

Step-by-step explanation:

We can work easier if we think in terms of an hour

the first equation that we can write is

A + B = 1/4 (its meaning is that in an hour A and B fill 1/4 of the cistern)

the second equation we can write is

A + C = 1/5 (its meaning is that in an hour A and C fill 1/5 of the cistern)

the third equation that we can write is

B = 2C  (its meaning is that in an hour B fill 2 times C the cistern)

now we can substitute the value of B in the first two equations

A + 2C = 1/4

A + C = 1/5

A = 1/5 - C

1/5 - C + 2C = 1/4

C = 1/4 -1/5

C = (5-4)/20

C = 1/20 (this means that in an hour C will fill 1/20 of the cistern, so it takes 20 hours to fill the entire cistern)

A = 1/5 - 1/20

A = (4-1)/20 = 3/20

B = 1/20 *2 = 1/10

4 0
3 years ago
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