Answer:
m<X= 36.87 degrees
Step-by-step explanation:
Since the triangle abc and xyz are similar, hence;
m<C = m<Y
90 = x - 5
Add 5 to both sides
90+5 = x-5+5
95 = x
Swap
x = 95
m<Y = x - 5
m<Y = 95 - 5
m<Y = 90
Find m<X
Using the SOH CAH TOA
Opposite to m<X = YZ = 6
Adjacent = 8
Tan M<X = opp/adj
Tan m<X = 6/8
m<X = arctan(6/8)
m<X= 36.87 degrees
Answer: -1/5
Step-by-step explanation:
the equation to solve slope with two points is the y coordinate in the second point minus the y coordinate in the first point over the x coordinate in the second point minus the x coordinate in the first point so this one would be
(-2 - -1)/(12-7)
On the top you subtract a negative it becomes a positive and you get -1/5
Step-by-step explanation:
first box on the left
r=4
d=8
circumference= 2π*4= 8π
area = π*4*4= 16π
Second box on the left
d=6
r= 3
circumference= 2π*3= 6π
area =π*3*3= 9π
third box on the left
A=36π
A=36πarea= π*r*r
A=36πarea= π*r*rr= 6
A=36πarea= π*r*rr= 6d=12
A=36πarea= π*r*rr= 6d=12circumference= 2π*6= 12 π
the last box
C=18π
C=18πC= 2π*r
C=18πC= 2π*rr= 9
C=18πC= 2π*rr= 9d=18
C=18πC= 2π*rr= 9d=18area= π*9*9= 81π
The answer is 486.6
There are 8,760 hours in a year, so 18 divided by 8,760 would = 486.6