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2 years ago

Find the length of each arc. Round your answers to the nearest tenth. NO LINKS!! Part 1

Mathematics

2 answers:

Hatshy [7]2 years ago

7 0

Answer:
5) 18.8 cm
7) 49.5 ft

Explanation:
The formula for arc length is S = θ * r

5) S = 18 cm * Pi/3 (60 degrees in radians)
S = 6 Pi cm
S ≈ 18.8 cm

7) S = 9 ft * 7 Pi / 4
S = 63 Pi ft / 4
S ≈ 49.5 ft

vesna_86 [32]2 years ago

3 0

Length of arc=r $\theta$

$\\ \rm\Rrightarrow Area=18(\pi/3)=6\pi cm$

$\\ \rm\Rrightarrow Area=9(7\pi/4)=63\pi /4ft$

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A 55m and 35m broad park is surrounded by a 2.5m wide path.

daser333 [38]

Step-by-step explanation:

☄ $\underline {\underline{ \text{Given}}} :$

Length of a park ( l ) = 55 m
Breadth of a park ( b ) = 35 m
Width running outside the park ( d ) = 2.5 m
Rate of paving the path with stones = Rs 120 per sq.metre

☄ $\underline{ \underline{ \text{To \: find}}}:$

Area of the park
Cosy of paving the path with stones at Rs 130 per sq.metre

☄ $\underline{ \underline{ \text{Solution}}} :$

Part 1 : $\boxed{\text{Area \:of \:a \:path \: running \:outside = 2d(l + b + 2d)}}$

plug the known values and simplify :

⟹ $\sf{2 \times 2.5(55 + 35 + 2 \times 2.5)}$

⟹ $\sf{5 \times 95}$

⟹ $\sf{475 \: {m}^{2} }$

Part 2 : $\boxed{ \sf{Total \: cost = Area \: of \: paths \: \times Rate}}$

⟹ $\sf{475 \times 120}$

⟹ $\sf{Rs \: 57000}$

$\purple{ \boxed{ \boxed{ \sf{ \tt{⟿ \: Our \: final \: answer : (i) = 475 \: {m}^{2} \: and \: (ii ) = Rs \: 57000}}}}}$

Hope I helped ! ♡

Have a wonderful day /night ツ

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vfiekz [6]

Answer:

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Step-by-step explanation:

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Alla [95]

Answer:

X = 2 or X = -10

Step-by-step explanation:

We know either3x+12=18or3x+12=−18

3x+12=18(Possibility 1)

3x+12−12=18−12(Subtract 12 from both sides)

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(Divide both sides by 3)

x=2

3x+12=−18(Possibility 2)

3x+12−12=−18−12(Subtract 12 from both sides)

3x=−30

−30

(Divide both sides by 3)

x=−10

Answer:

x=2 or x=−10

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denis-greek [22]

X= -3x + 2 this is the answer

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grandymaker [24]

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Find the length of each arc. Round your answers to the nearest tenth. NO LINKS!! Part 1​

Find the length of each arc. Round your answers to the nearest tenth. NO LINKS!! Part 1