A DVD box set has 5 dvds
t is the cost of thriller
c is the cost of comedy
each box has 3 thrillers and 2 comedy
t+t+t+c+c
Which is 3t+2c per box
3t+2c ×6
3t×6=18t
2c×6=12c
So that is 18t+12c
24+15=39.
Picked for her friend= 15/39.
Picked for herswlf= 24/39.
To get the %, divide the #'s and then multiply them by a 100.
So, 15/39=.384615*100=38.46%
24/39=.615385*100= 61.54%
2L + 2W = 92
L = 10 + 2w
2(10+2W) + 2W = 92
20 + 4W + 2W = 92
6W = 72
W = 12 m
L = 10 + 2(12)
L = 10 + 24
L = 34 m
Answer:
A. 13.31' to the nearest hundredth.
B. 86.52' to the nearest hundredth.
Step-by-step explanation:
Part A>
The apotherm of a regular polygon is the distance of the line segment from the centre of the polygon to the midpoint of a side.
2 radii of this decagon joined to the endpoints of a side form an isosceles triangle with equal sides = 14 cm.
The apotherm is the altitude of this triangle. The vertex of the triangle has an angle of 360 / 10 = 36 degrees and the apotherm bisects this angle.
So using trigonometry on the right triangle formed:
cos 18 = x / 14 where x is the apotherm.
x = 14 cos 18
= 13.31' (answer).
Part B.
Using trigonometry on the right triangle again:
sin 18 = x/2 / 14 (where x is the length of a side of the hexagon)
x/2 = 14 sin 18
x = 2 * 14 sin 18
= 8.652'.
As a decagon has 10 sides the perimeter = 8.652 * 10
= 86.52' to the nearest hundredth.