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kicyunya [14]
2 years ago
6

Both circles have the same center. The circumference of the inner circle is 25.12 millimeters.

Mathematics
1 answer:
stira [4]2 years ago
8 0

Answer:

Step-by-step explanation:

let r be radius of inner circle.

2πr=25.12

πr=25.12/2=12.56

3.14r=25.12

r=12.56/3.14=4

outer radius R=4+4=8 mm

reqd. area=πR²-πr²=π(R²-r²)=3.14(8²-4²)=3.14(64-16)=3.14×48= 150.72 mm²

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Can someone match them fast plz
Ghella [55]

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3 0
3 years ago
They building in the city has a rectangular base. The length of the base measures 60 ft less than twice the width. The perimeter
wariber [46]

Answer: the length of the base is 290ft

The width of the base is 175 ft

Step-by-step explanation:

The base of the building is rectangular in shape.

Let L represent the length of the base of the building.

Let W represent the width of the base of the building.

The length of the base measures 60 ft less than twice the width. This means that

L = 2W - 60 - - - - - - - - -1

The perimeter of a rectangle is expressed as 2(length + width).

The perimeter of this base is 930ft. It means that

2(L + W) = 930

L + W = 930/2 = 465- - - - - - 2

Substituting equation 1 into equation 2 , it becomes

2W - 60 + W = 465

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4 0
3 years ago
A mountain railway AB is of length 864m and rises at an angle of 120° to the horizontal.
Ainat [17]

Answer:

The height above sea level at <em>B</em> is approximately 1,604.25 m

Step-by-step explanation:

The given length of the mountain railway, AB = 864 m

The angle at which the railway rises to the horizontal, θ = 120°

The elevation of the train above sea level at <em>A</em>, h₁ = 856 m

The height above sea level of the train when it reaches <em>B</em>, h₂, is found as follows;

Change in height across the railway, Δh = AB × sin(θ)

∴ Δh = 864 m × sin(120°) ≈ 748.25 m

Δh = h₂ - h₁

h₂ = Δh + h₁

∴ h₂ ≈ 856 m + 748.25 m = 1,604.25 m

The height above sea level of the train when it reaches <em>B</em> ≈ 1,604.25 m

4 0
2 years ago
What is the solution to the system of equations?
s344n2d4d5 [400]

Answer:

(3,2)

Step-by-step explanation:

Here's your given:

y = 4x - 10

y = 2

Because they both equal y, that means they equal each other:

2 = 4x - 10

Add 10 on both sides:

12 = 4x

Then, divide 4 on both sides:

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This represents the x coordinate.

Normally you would put this value into one of the equations to figure out y, but they already gave us that in the beginning:

y = 2

This represents the y coordinate.

Put the two values together to get: (3,2)

5 0
3 years ago
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