Answer:
422 Square Inches
Step-by-step explanation:
6x7=42
7x13=91
6x13=78
(2)42+(2)91+(2)78=422
You are multiplying each calculation by 2 because a rectangular prism has 6 sides. 2 sides height x width, 2 sides height x length, and 2 sides width x length
$\implies 2^{2x}-2\cdot5^{2x}-(2^x)(5^x)>0$
let $2^x=a$ and $5^x=b$
So, $a^2-2b^2-ab>0$
divide by $b^2$, ($b^2>0$)
$\implies \left(\frac ab\right)^2-\left(\frac ab\right) -2>0$
this is a quadratic, in $\left(\frac ab\right)$, let it be $x$
So, $x^2-x-2>0$
Can you simplify it now?
P = 10 + 14 + 8 + 14 + 10 + 24 + 28 + 24
P = 132 m
Answer
Perimeter = 132 m
Answer:
height of the utility pole = 12 meters
Step-by-step explanation:
It is simple application of Pythagoras theorem.
In the given case, Length of cable (Hypotenuse) H = 13 meters, distance between base of pole to the point on the ground(Base) B = 5 meters and height of pole ( Perpendicular) P form a right angle triangle.
The applying Pythagoras theorem.
H^2 = P^2 +B^2
⇒ P^2 = H^2-B^2 = 13^2-5^2 = 144
⇒ P = 12 meters
hence, height of the utility pole = 12 meters
