Answer:
Step-by-step explanation:
we can say the angle is also +45° going in the clock wise direction. so take Tan(45)= 1
Cot(45) = 1
b/c Tan(45) = Sin(45) /Cos(45) = (
/2) / (
/2) ofc that's just 1
b/c Cot(45) = Cos(45) / Sin(45) , which is the same as above 1
Answer: -5/21
Step-by-step explanation:
-3/7 & -4/6
common detonator is 42
-3/7 = -18/42 reduced to -9/21
-4/6 = -28/42 reduced to -14/21
difference between -9/21 and -14/21 = -5/21
Answer:
8 feet
Step-by-step explanation:
Given data
Area= 64 square feet
Base= x feet
Height= x+8 feet
The expression for the area
A= 1/2b*h
substitute
64= 1/2*x*(x+8)
64= 1/2*x^2+8x
64= (x^2+8x)/2
cross multiply
64*2= x^2+8x
128= x^2+8x
rearrange
x^2+8x-128= 0
using the quadratic formula
a=1
b=8
c=-128
x= -b±√b^2-4ac/2a
x= -1±√8^2-4*1*-128/2*1
simplifying
x= 8
x=-16
Hence the height of the base is
h= 8 feet