I need help with this

8)2.86 cm^2

9) 100.48 m^2

10) 23.08 in^2

Step-by-step explanation:

8) In the figure , there's a right angled triangle in which a circle of radius 1 cm is inscribed in that triangle.

Area of the right angled triangle =

Area of the circle =

Area of the shaded portion ( although itz not shaded..... i mean remaining portion ) = 6 - 3.14 =2.86cm^2

9) In this figure there's a circle in which more 2 circles are inscribed in such a way that the center of the bigger circle is in the circumferences of both the circles.

Area of the bigger circle =

The small circles have equal diameter ( i.e. 8m) . So , Area of the small circles =

Area of the shaded region =

200.96 - 100.48 = 100.48 m^2

10) In the figure , the radius of the circle is 9 in.

So the area of a quarter =

Also in that circle a right angled triangle is formed. Area of that right angles triangle =

So the area of the region shaded =

63.58 - 40.5 = 23.08 in^2

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

ratio is 2 : 9

the answer is three

13.5 : 3