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Harlamova29_29 [7]
3 years ago
13

The options are 3/4, 9/10, 1 1/9, and 4 1/2. If the file didn't load please say below.

Mathematics
2 answers:
Anni [7]3 years ago
7 0

Answer: 9/10

Step-by-step explanation: The easiest way to divide fractions is to use KCF:

Keep the first fraction

Change the division sign to multiplication sign

Flip the second fraction

Let me explain. In this example, we have 3/4 ÷ 5/6. Well, if we applied our KCF rule here we would...

Keep 3/4

Change the division sign to multiplication

Flip 5/6

It should look like this:

3/4 × 6/5

Now we can just multiply the two fractions together:

3 x 6 = 18

4 x 5 = 20

18/20 = 9/10

Hope this was helpful! Let me know if you have any further questions. :)

lutik1710 [3]3 years ago
6 0

Answer:

9/10

Step-by-step explanation:

3/4 ÷ 5/6

When dividing fractions you flip the second fraction and then multiply the numerators with themselves and the denominators with themselves

3/4 ×6/5

3*6=18

4*5=20

18/20 can be reduced by 2 which becomes 9/10

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What is the area of the sector of the circle below, if the radius is 5 m. and the central angle &lt; AOB measures 88 °. (round a
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b 19.2

Step-by-step explanation:

a = \pir^{2} for a circle.  We do not want to find the area for a whole circle.  We only want to find the area for part of a circle.  a hole circle is 360 degrees.

a = \frac{88}{360}\pir^{2}

a = \frac{88}{360}\pi(5^{2})

a = 19.2 rounded.

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Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to
Anettt [7]

Answer:

correct option is 2187

Total surface area is  2,185.44  square inches.

lateral surface area is  640.56 square inches

Step-by-step explanation:

Given

radius of cylinder = 12 inches

height of cylinder = 17 inches

we will us value of pi as 3.14

surface area for cylinder consist of two part

1. lateral surface area which is gven by 2\pi rl

where r is radius of cylinder and l is height of cylinder

Thus, lateral surface area for given cylinder is

2\pi rl\\ =>2* 3.14*12*17\\=> 1281.12

Thus,  lateral surface area for given cylinder is  1281.12 square inches.

_________________________________

second part of surface area is area of two base (upper and lower) of cylinder.

area of base is given by area of circle \pi r^2

area \ of  \base = \pi r^2 = 3.14*12^2\\=>area \ of  \base =  3.14*144 = 452.16

This, area of base is for one base of cylinder

since there are 2 base

area of both base will be = 2* area of one base

                                      = 2*452.16 = 904.32.

Thus, area of base is 904.32 sq. in.

_______________________________________

Total surface area of cylinder = area of two base+ lateral surface area of cylinder = 1281.12 square inches + 904.32 square inches

                  = 2,185.44  square inches.

Thus, total surface area is  2,185.44  square inches.

lateral surface area is  640.56 square inches

but option which is closest to calculated value is  2187.

Thus, correct option is 2187

___________________________________________

Note: this problem can be directly solved using formula

total surface area for cylinder = 2\pi r^2 + 2\pi rl

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3 years ago
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