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Mariana [72]
3 years ago
9

Anyone know the right answer? I need to finish this before tomorrow

Mathematics
1 answer:
neonofarm [45]3 years ago
3 0
A) 6.50 or 6.5
b) 0.26
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Helppppppppppppp. a and b partttt​
PilotLPTM [1.2K]

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

C = 2×pi×r

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

Co = pi×45×5/6 = pi×75/2

so, the total perimeter/ circumference is

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

= pi×100/6 + pi×225/6 + 50 = pi×325/6 + 50 =

= 220.17 cm

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 =

= pi×8125/12 = 2127.12 cm²

4 0
2 years ago
He difference between -7/9 and 4/9 is _____.
lianna [129]

Answer:

-1.2 or -11/9 or -1  2/9

Step-by-step explanation:

7 0
3 years ago
The sum of the interior angles of a triangle measures 180°. T or F?
deff fn [24]
This is true. The sum of interior angles always add up to 180<span>°.

Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)
</span>
7 0
2 years ago
PLZ HELP ME 4 min left 50 points and brainleist
valentina_108 [34]

Answer:

y= -6

Step-by-step explanation:

4y=2(y−5)−2

4y = 2y -10 -2

4y = 2y -12

2y = -12

y = -6

7 0
3 years ago
Simplify each ratio 1. $8 to 62 cents 2. 14 inches to 2 yards 3. 5 days to 40 hours 4. Ratio of dogs to cats at the kennel if th
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Step-by-step explanation:

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