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solmaris [256]
3 years ago
6

What is 1 3\4 + 2 2/3

Mathematics
1 answer:
cricket20 [7]3 years ago
3 0

Hello!

<em><u>Answer:</u></em>

<em><u>4 5/12</u></em>

<em><u>*The answer must have a whole number and a fraction.*</u></em>

Step-by-step explanation:

Lesson: Adding Fractions

First, you add by the whole number.

1+2=3

Then you combine by the fraction or number.

\frac{3}{4}+\frac{2}{3}=\frac{17}{12}

3+\frac{17}{12}

Next, you convert improper fraction into the mixed numbers.

\frac{17}{12}=1\frac{5}{12}

3+1\frac{5}{12}

And finally, add by the numbers.

3+1=4

Final answer: → 4\frac{5}{12}

Hope this helps!

Thanks!

Have a great day!

-Charlie

:)

:D

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Answer:

a) 220.17 cm

b) 2127.12 cm²

Step-by-step explanation:

perimeter = circumference

it is the sum of the inner and the outer arc and the 2 side lines of 25.

we know a full circle has 360 degrees. but we only look at a segment of a circle of 150 out of the total of 360 degrees.

the circumference of a circle is

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the 150 degree part is then

C = 2×pi×r×150/360 = 2×pi×r×15/36 = pi×r×15/18 =

= pi×r×5/6

the radius of the inner circle is 20.

=>

Ci = pi×20×5/6 = pi×50/3

the radius of the outer circle is 20 + 25 = 45

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so, the total perimeter/ circumference is

C = Ci + Co + 25 + 25 = pi×50/3 + pi×75/2 + 50

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the area of the shaded shape is the area of the large circle segment minus the area of the small circle segment.

the area of a circle is

A = pi×r²

the 150 degree part is then

A = pi×r²×150/360 = pi×r²×5/12

so, for the inner circle that is

Ai = pi×20²×5/12 = pi×400×5/12 = pi×100×5/3 = pi×500/3

for the outer circle that is

Ao = pi×45²×5/12 = pi×2025×5/12 = pi×10125/12 =

= pi×3375/4

so, the total area of the shaded shape is

A = Ao - Ai = pi×3375/4 - pi×500/3 = pi×(10125-2000)/12 =

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