Okay, we have 20 students, 15 of them like chocolate cake and the rest like cheesecake, to find the answer we have to subtract 20 - 15 and the answer is 5, so 5 students like cheesecake.
7) - 1
tan <BAD = BD / AD
BC = √(64 + 36)
BC = √100
BC = 10
now you can solve BD
BD/6 = 6/10
BD = 6*6 / 10
BD = 36/10
BD = 3.6
AD = √36 - 12.96
AD = √23.04
AD = 4.8
tan <BAD = BD / AD
tan <BAD = 3.6 / 4.8
tan <BAD = 0.75
7) - 2
cos <DAC + cos <DAB
as you know cos = Adj / Hypo
cos <DAC = AD/AC
cos <DAC = 4.8 / 8
cos <DAC = 0.6
cos <DAB = AD / AB
cos <DAB = 4.8/6
cos <DAB = 0.8
so
cos <DAC + cos <DAB = 0.6 + 0.8
cos <DAC + cos <DAB = 1.4
hope it helps
Remember that
1 yard = 3 feet
so
10 ft=10/3 yd
Convert to a mixed number
10/3=9/3+1/3=3 1/3 yd
<h2>the answer is option A</h2>
27 games were lost
fraction of games lost = 1 - = - =
number of games lost = of 42
= × 42 = 27
To solve the diameter you use the equation d= 3√A/π
the answer is 14 sq. in