Please help me, with full explanation

9.54 cm

Step-by-step explanation:

In triangle ABD, AD is the hypotenuse (longest side)

We know that according to Pythagoras theorem,

a^2+b^2=c^2

In the figure, c (10cm) and a (5cm) is given. So,

(5)^2 + b^2 = 100

25+b^2 = 100

b^2 = 75

So b is √75 = 8.66

Therefore BD is 8.66 cm

Now even BDC is a triangle

In it, the hypotenuse is missing but we know the value of other sides

so, in Pythagorean theorem,

a=4 (CD)

b=8.66 (BD)

c=x

Therefore,

(4)^2 + (8.66)^2 = x^2

16+74.99= x^2

x^2 = 90.99

x= 9.54 cm

Hope this helps!

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.

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.