Could someone me with this one as well. i swear this is my last question-

73.4

Step-by-step explanation:

The shaded area can be split into two shapes: a triangle and a sector.

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

A = ½ ab sin C

A = ½ (5 cm) (5 cm) (sin 80°)

A = 12.31 cm²

The sector angle is 360° − 80° = 280°.  The area is:

A = (θ / 360) πr²

A = (280 / 360) π (5 cm)²

A = 61.09 cm²

So the total area is:

A = 12.31 cm² + 61.09 cm²

A = 73.4 cm²

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.