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yuradex [85]
3 years ago
14

What is the length of the arc by a central angle of 85 degrees and a radius of 8cm to the nearest tenth of a cm?

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
8 0

9514 1404 393

Answer:

  11.9 cm

Step-by-step explanation:

Arc length is given by ...

  s = rθ . . . . . . θ is the central angle in radians

Your central angle is 85°, so is (85/180)π radians = 17/36π radians.

Then the arc length is ...

  s = (8 cm)(17/36π) ≈ 11.9 cm

The length of the 85° arc is about 11.9 cm.

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$2,275 is deposited into an account that earns 4% simple interest for 5 years. What is the amount of extra money earned over thi
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455

Step-by-step explanation:

455×10²

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lana66690 [7]

Answer:

D

Step-by-step explanation:

\sin(60)  =  \frac{6 \sqrt{3} }{x}  \\ x =  \frac{6 \sqrt{3} }{ \sin(60) }  = 12 \\  \tan(60)  =  \frac{6 \sqrt{3} }{y}   \\ y =  \frac{6 \sqrt{3} }{ \tan(60) }  =   6

8 0
2 years ago
PLEASE HURRY. 55P WRONG ANSWERS GET REMOVED!!!!!!!
sertanlavr [38]
  • <em>Answer:</em>

<em>1172. 08 in²</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there !</em>

<em>A(prism) = 2(lw + lh + wh) - Ab(cylinder)</em>

<em>= 2(16*11 + 16*11 + 11*11) - πr²</em>

<em>= 2(176 + 176 + 121) - 3.14*16</em>

<em>= 2*473 - 50.4</em>

<em>= 946 - 50.24</em>

<em>= 895.76 in²</em>

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<em>= 3.14*16 + 2*3.14*4*9</em>

<em>= 50.24 + 226.08</em>

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<em>A(total) = 895.76in² + 276.32in² = 1172.08 in²</em>

<em>Good luck !</em>

6 0
3 years ago
use a single digit times a power of 10 to estimate how many times greater the amount of water is at the Georgia Aquarium
Vikentia [17]

Answer:

The amount of water at the Georgia Aquarium is 20 times greater than the aquarium of the Americas hold.

Step-by-step explanation:

What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the tanks at the Georgia Aquarium hold approximately 8.4 × 10⁶ gallons of water. The tanks at the Audubon Aquarium of the Americas hold about 400,000 gallons of water.The number of the time will be calculated as below:-= 8.4 × 10⁶ / 400,000= 20.1

Therefore, the amount of water at the Georgia Aquarium is 20 times greater than the aquarium of the Americas hold.To know more about an expression followbrainly.com/question/15772941#SPJ2

5 0
1 year ago
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