Answer:
28.07° ; 70.53° ; 53.13° ; 36.87°
Step-by-step explanation:
Using PYTHAGORAS RULE :
IMAGE 1:
value of cos α equals :
cos α = Adjacent / Hypotenus
cos α = 15 / 17
cos α = 0.88235
α = cos^-1 (0.88235)
α = 28.07°
IMAGE 2:
sin β = Opposite / Hypotenus
sin β = 14√2 / 21
sin β = 0.9428
β = sin^-1(0.9428)
β = 70.53°
IMAGE 3:
From trigonometry :
cot = 1 / tan
Tan = Opposite / Adjacent
Therefore, Cot = Adjacent / Opposite
cot γ = 3/4
cot γ = 0.75
γ = cot^-1 (0.75)
γ = 53.13°
IMAGE 4:
tan α = Opposite / Adjacent
tan α = 15 / 20
tan α = 0.75
α = tan^-1 (0.75)
α = 36.87°
Answer:
98°
Step-by-step explanation:
m∠1 = m∠2
5x + 12 = 7x - 16; substitute the given
2x = 28
x = 14
m∠2 + m∠3 = 180; supplementary angles
82 + m∠3 = 180
m∠3 = 180 - 82
m∠3 = 98 degrees
Answer: the answer is 809
Step-by-step explanation:
Answer:
a) 
b) When t = 10, Q = 7.845.
Step-by-step explanation:
The value of a quantity after t years is given by the following formula:
In which 
is the initial quantity and r is the rate that it changes. If it increases, r is positive. If it decreases, r is negative.
a) Write a formula for Q as a function of t.
The initial value of a quantity Q (at year t = 0) is 112.8.
This means that 
.
The quantity is decreasing by 23.4% per year.
This means that 
So
b) What is the value of Q when t = 10?
This is Q(10).
When t = 10, Q = 7.845.
a. 9 cm 2 because each side would be 3 and length x width would be 3 x 3 = 9
