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3 years ago

A circle has a radius of 3. An arc in this circle has a central angle of 20°

Mathematics

1 answer:

Alla [95]3 years ago

4 0

Answer:

The length of the arc is 1.0467

Step-by-step explanation:

First of all to solve this problem we need to use the circumferenc formula of a circle:

c = circumference

r = radius = 3

π = 3.14

c = 2π * r

we replace with the known values

c = 2 * 3.14 * 3

c = 18.84

The length of the circumference is 18.84

Now we have to divide the 20° by the 360° that a circle has, to know what part of the circle it represents

20° / 360° = 1/18

Now we multiply this fraction by the circumference and obtain the length of the arc

1/18 * 18.84 = 1.0467

The length of the arc is 1.0467

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Find the area of the shaded regions. GIve your answer as a completely simplified exact value in terms of pi. (No approximations)

Anon25 [30]

Answer:

A = 27π cm²

Step-by-step explanation:

Area of the shaded region = area of full circle of O - Area of the unshaded sector

= (πr²) - (θ/360*πr²)

Where,

r = 6 cm

θ = 360

Area of shaded region = (π*6²) - (90/360*π*6²)

= (36π) - (¼*π*36)

= 36π - 9π

Area of shaded region = 27π cm²

4 0

2 years ago

MATHEMATICS<br> Evaluate (0.110 two)³ expressing your answer in base ten.

zysi [14]

Evaluating (0.110 two)³ in base ten is (343/512) ten

The question has to do with number base

<h3>What is number base?</h3>

A number base is a system of numbering used to represent numbers.

<h3>How to evaluate (0.110 two)³ in base ten.</h3>

Since we have (0.110 two)³,we desire to convert 0.110 two to base ten.

So, converting 0.110 two to base ten, following the procedure, we have that

0.110 two = 0 × 2⁰ + 1 × 2⁻¹ + 1 × 2⁻² + 1 × 2⁻³

= 0 × 2⁰ + 1 × 1/2¹ + 1 × 1/2² + 1 × 1/2³

= 0 × 1 + 1 × 1/2 + 1 × 1/4 + 1 × 1/8

= 0 + 1/2 +1/4 + 1/8

= (4 + 2 + 1)/8

= 7/8

So, thus 0.110 two = (7/8) ten

Thus we see that (0.110 two)³ = (7/8)³ ten

= (343/512) ten

So, expressing (0.110 two)³ in base ten is (343/512) ten

Learn more about number base here:

brainly.com/question/27072175

#SPJ1

4 0

1 year ago

A man sold a fan for Rs. 400. Find the cost price if he incurred a loss of 15%.

statuscvo [17]

Answer:

Cost price of the fan is $\text {Rs. 470.59}$ .

Step-by-step explanation:

Given: A man sold a fan for $\text{Rs.}\:400$ . He incurred a loss of $15\%$ .

To find: The cost price of the fan

Solution:

We have,

Selling price, S.P., of the fan $= \text{Rs.} 400$

Loss $=15\%$

We know that $\text {Loss\%}=\frac{\text{C.P.-S.P.}}{\text{C.P.}}\times100\%$

Now let the C.P. of the fan be $\text{Rs.} \:x$

So, $15=(\frac{x-400}{x})\times 100$

$\implies 15x=100x-40000$

$\implies 100x-15x=40000$

$\implies 85x=40000$

$\implies x=\frac{40000}{85}$

$\implies x= 470.59$

Hence, the cost price of the fan is $\text {Rs. 470.59}$ .

7 0

3 years ago

Is 1/10 and 3/33 equivalent

Ostrovityanka [42]

1/10 = .1, and 3/33 = .0909090... it is equivalent if you estimate.

3 0

3 years ago

Helpppppppppppppppppppppppppppppppppppp

FromTheMoon [43]

Ok so I’m thinking that s = 93 because first I multiply first sides of the equation by -4, which was s-61=32. Then I moved the constant to the right hand side and change its sign which will be s=32+61. After I did all of that I added the numbers together and got 93..... therefore s=93

8 0

3 years ago