Answer:
b = 5√2, c = 10√3 is the right answer
From the diagram;
1. Angle 2 = ADB+BDH
= arcAB/2 +90
= 34 +90
= 124°
2. Angle 4= 90°,
Reason ; the angle between a tangent and a radius is equal to 90. A tangent is a line that touches the circumference of a circle once even if prolonged.
3. Angle 5 = 90 -BDC (note the acr subtends twice the angle it subtends on the circumference to the center.
= 90-arc BC/2
= 90-36
= 54°
4. Angle 6 = BFD
= 180-ADB-FBD
= 180-AB/2-DE/2
But DE = 180 -121 = 59
Therefore, BFD = 180 -34-29.5
= 116.5°
5. Angle 1 = 180- BFD (angles on a straight line add up to 180°)
= 180- 116.5
= 63.5°
6. Angle 3 = 180 -(ADB+BFD)
= 180 -(34 +116.5)
= 180- 150.5
= 29.5°
similarly angle 3 = DE/2 = 59/2 = 29.5°
7. Angle 8= 90, because BD is diameter;
angles subtended by a diameter to the circumference is always a right angle (90°)
8.Angle 7 = BE
but BE= AB+AE
= 68+ 53
= 121°
This is the concept of algebra, we solve the question as follows:
The cost of renting a camping tent is y
The number of days is x
cost is proportional to number of days, thus:
yαx
y=kx
where k is the constant of proportionality.
If y=$56 when x=7 days, then:
56=7k
hence:
k=56/7=8
therefore:
y=kx will be:
y=8x
the equation in slope intercept form which is y=mx+c is y=8x. In our case c=0 because there was no initial payments required to rent apart from the daily charges.
