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

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.

d (5 x (-20)) * (100 x (0.7))

step-by-step explanation:

5÷1/100 * -.7 *-20

copy dot flip

5*100 * -.7 *-20

rearrange

5*-20   * 100 *-.7

-100   *-70

7000

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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