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Norma-Jean [14]
2 years ago
13

Find the length of arc AB with an angle measure of 15 degrees and radius of 10 cm. Round to the nearest hundredth place if you g

et a continuous decimal when dividing with 360 degrees.
Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
6 0

Answer:

AB ≈ 2.62 cm

Step-by-step explanation:

The arc AB is calculated as

AB = circumference of circle × fraction of circle

     = 2πr × \frac{15}{360}

     = 2π × 10 × \frac{1}{24}

     = \frac{20\pi }{24}

     ≈ 2.62 cm ( to the nearest hundredth )

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prohojiy [21]

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Step-by-step explanation:

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6 0
3 years ago
Mr jones is planning to pant grass and place afence in a small area for his dog. The rectagular dimension are 12×15 feet. The gr
goldenfox [79]

Answer:

A) The total feet needed for the fence total perimeter is 54 feet

B) The total cost of fence is $432

C) The square feet of grass needed foe the total area is 180 square feet

D) The total cost of the project is $572

Step-by-step explanation:

Given as :

The dimension of rectangular field

Length of rectangular field = L = 12 feet

width of rectangular field = w = 15 feet

The cost of grass per square foot = 50 cents = $0.5    ( ∵ 1 cents = $0.01 )

The cost of small fence = $8 per linear foot

Now, According to question

A ) Let The total feet needed for the fence total perimeter = A feet

∵ Perimeter of rectangular field = 2 × Length + 2 × width

Or, A = 2 × L + 2 × w

Or, A = 2 × 12 feet + 2 × 15 feet

Or, A = 24 feet + 30 feet

∴ A = 54 feet

So, The total feet needed for the fence total perimeter = A = 54 feet

B ) Let The total cost of fence = $B

So, The total cost of fence = The cost of small fence × perimeter of fence

i.e B = $8 × 54 feet

∴ B = $432

So,The total cost of fence = B = $432

C) Let the square feet of grass needed foe the total area = C square feet

∵The Area of rectangular fence = Length × width

Or, The square feet of grass needed foe the total area = Area of rectangular fence = L × w

i.e C = 12 feet × 15 feet

Or, C = 180 feet²

So,The square feet of grass needed foe the total area = C = 180 square feet

D) Let The total cost of grass = $D

∵ The cost of grass per square foot = $0.5

So,Total cost of grass = $0.5 × Area of fence

i.e D = $0.5 ×  180 feet²

Or, D = $90

So, The Total cost of grass = D = $90

E) Let the total cost of the project = $E

∵Mr. Jones spend additional $50 for tools

So, The total cost of the project =  money spent on tools + total cost of fence + Total cost of grass

i.e E = $50 + B + D

Or, E = $50 + $432 + $90

∴ E = $572

So, The total cost of the project = E = $572

Hence,

A) The total feet needed for the fence total perimeter is 54 feet

B) The total cost of fence is $432

C) The square feet of grass needed foe the total area is 180 square feet

D) The total cost of the project is $572  Answer

3 0
3 years ago
Math questions. Correct please
finlep [7]
Hello there! The answer for question 3 is 4 dogs 

The answer for question 2 is  D 6%, 0.66, 6/10

The answer for question 1 is 20% 

Hope this helps out! :)


8 0
2 years ago
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