Answer:
The distance between opposite corners of the living room is 30ft
Step-by-step explanation:
This can be thought of as a right triangle and we want to know its hypotenuse
To calculate one side of a right triangle from the other 2 sides we have to use Pythagoras
h = hypotenuse
a = leg 1 = 18ft
b = leg 2 = 24ft
h² = a² + b²
we replace the known values
h² = (18ft)² + (24ft)²
h² = 324ft² + 576ft²
h² = 900ft²
h = √(900ft²)
h = 30ft
The hypotenuse is 30ft
3*x=3x
3*-5=15
you just distribute the 3 to both values in the parenthesis.
so then we have
17=3x-15+8
simplify
17=3x-23
add 23 to both sides
40=3x
divide both sides by 3
x=13 1/3
Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Elevated both sides to 1/18
convert to percentage
Multiply by 100
Step-by-step explanation:
sec² x − 2 = 0
sec² x = 2
cos² x = ½
cos x = ±√½
x = π/4, 3π/4, 5π/4, 7π/4