For
and
to be inversely proportional, there must be some constant
such that
Given that
when
, it follows that
Then when
, we have
Answer:
a = 11.71 ; b = 15.56
Step-by-step explanation:
For this problem, we need two things. The law of sines, and the sum of the interior angles of a triangle.
The law of sines is simply:
sin(A)/a = sin(B)/b = sin(C)/c
And the sum of interior angles of a triangle is 180.
45 + 110 + <C = 180
<C = 25
We can find the sides by simply applying the law of sines.
length b
7/sin(25) = b/sin(110)
b = 7sin(110)/sin(25)
b = 15.56
length a
7/sin(25) = a/sin(45)
a = 7sin(45)/sin(25)
a = 11.71
Answer:
Area of of the doghouse which is in the shape of right trapezoid is 66.5 square feet.
Step-by-step explanation:
Answer: 26in
s=r*theta
r=s/theta
d=r*2
136ft=r*40pi
r=136/40pi=1.082ft
d=1.082*2=2.1645ft*(12in/1ft)=25.97in
Rounded to nearest in is 26in diameter
