Step-by-step explanation:
Pythagoras (for right-angled triangles) :
c² = a² + b²
c being the Hypotenuse, the side opposite of the right angle. and that would be here the diagonal.
c = diagonal = 10 ft
therefore, the width of the rectangle is 10/2 = 5 ft
10² = 5² + b²
100 = 25 + b²
b² = 75
b = length = sqrt(75) = 8.660254038... ft
v = hvh
Simplifying the above equation:
v = h × v × h
Taking the RHS 'v' to LHS
⇒ v ÷ v = h × h
⇒ 1 = h × h
⇒ 1 = 
⇒ h = √1
⇒ h = 
So h can have the values +1 or -1.
Putting h = +1 in the equation,
v = (+1) × v × (+1)
⇒ v = v
Hence, v can take any integer value.
Putting h = -1 in the equation, when h = 1.
v = (-1) × v × (-1)
⇒ v = v
Hence, v can take any integer value when h = -1.
Hence, as long as h is either +1 or -1, v can take any integer value.
Answer:
Step-by-step explanation:
Angle E is one-half the measure of the difference between arc CG and arc DF. Mathematically, that looks like this:
and
44(2) = 160 - DF and
88 = 160 - DF and
-72 = -DF so
DF = 72 degrees, second choice down