Chapter 7
In a right triangle, one of the angles is 40 degrees, and the length of the side adjacent to this triangle is 8 units. The hypotenuse of the triangle is 10 units.
angle =36.87
adjacent is 8
hypotenuse= 10
opposite= 6
other angle is 53.13
Finding angle measurements using Law of Sines.
x=14.1
Converting log- exponential
3^2=9
solving exponential equations using logs
x=0.8368
multiplying rational expressions
5x3y3/3
In a right triangle, one of the acute angles is 35 degrees, and the length of the side opposite this is 12 units.
x=13.27
Find Side Measurements using Law of Sines.
x=40.9
converting expotential-log
log14^196=2
exponential growth
67,122.16
dividing rational expressions
1q4/14p4
In a right trignale, the length of the adjacent side is 7 units, and the hypotenuse is 15 units.
17.14
20.91
Finding Side Lengths using Law of Cosines.
x=21.8
condensing logs
log4
exponential decay
26,655 subs
adding rational expressions
9/2a
A person is standing 30 feet away from the base of a tree. They look up at the top of the tree at an angle of elevation of 50 degrees.
38.75
Finding angle measurements using Law of Cosines
x=44.5
expanding logs
log6x+log6y+4Xlog6z
continuous growth/decay
14,190 people
subtracting rational expressions
-1(1+4a)/3
An angle theta is in the third quadrant, and tan(theta)= 5/2.
sin=0.9285
cos=-0.3714
Solving Triangles
mC=81
AB=16.3
BC=12.1
exponential equations with same base
n=-4
compound interest
629.27
complex factions
2/a