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polet [3.4K]
4 years ago
5

Hi does anyone know who to answer q26, if do please show working out. Thanks

Mathematics
1 answer:
cestrela7 [59]4 years ago
3 0

Answer:

239

Step-by-step explanation:

The area the goat can graze is a circular segment (a circle cut by a chord), where the radius is 10 m and the distance from the center to the chord is 6 m.  Here's a graph: desmos.com/calculator/qmstllv4dx

To find the area, we can split this into two shapes: a sector and an isosceles triangle. desmos.com/calculator/hvsor3mqps

To find the areas, we first must find the vertex angle of the triangle.  We can do that using cosine:

cos(θ/2) = 6/10

θ/2 = 53.13°

θ = 106.26°

The area of the triangle can be found with the SAS formula:

A = ½ ab sin C

A = ½ (6) (6) (sin 106.26°)

A = 17.28

The area of the sector is:

A = πr² (θ / 360°)

A = π (10)² ((360° − 106.26°) / 360°)

A = 221.43

The total area is 17.28 + 221.43 = 238.71.  Rounded to the nearest square meter, the goat can graze an area of 239 m².

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nasty-shy [4]

Answer:

A=452.39\ cm^2

Step-by-step explanation:

The formula to calculate the surface area of a sphere is the following:

A=4\pi r^2

Where A is the area of the sphere and r is the radius of the sphere.

In this case we know that the diameter d of the sphere is:

d = 12\ cm

The diameter is:

d = 2r.

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r = \frac{d}{2}\\\\r = \frac{12}{2}\\\\r=6\ cm

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A=4\pi (6)^2\\\\A = 144\pi\ cm^2\\\\A=452.39\ cm^2

7 0
3 years ago
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Set up a system of equations first

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6 0
4 years ago
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iogann1982 [59]
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4 years ago
What is m<3 ? M<6 is and m<8 is (x+5
larisa [96]

Answer:

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Step-by-step explanation:

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we know that sum of angles on straight line is 180

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thus

m∠6  = m∠3  = 115 (answer)

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