x = the length of one piece
y = the length of the other piece
the total length is 100 cm this means
x + y = 100
one piece is 16 inches longer than the other
first we need to convert inches to cm:
1 in = 2.54 cm
16 in = 2.54*16 = 40.64
now we can write
x = y + 40.64
by solving the system of equations
x + y = 100
x = y + 40.64
we find
x = 70.32 cm
y = 29.68 cm
the lengths of the two pieces are 70.32 cm and 29.68 cm.
I am guessing that the correct form of equation
is:
f(x)
= 16,800(0.9)^x
where
x is the exponent of (0.9)
Since
we are looking for the original population and x stand sfor the number of years,
therefore x=0
substituting:
f(x) = 16,800(0.9)^0
Since (0.9)^0 would just be equal to 1. Therefore
the original population is
16,800.
Answer: B. 16,800
Cos(44°) = 90/ x
x = 125.1147
-
the length of the string is 125.1147 feet
The percent discount is 30%.
If you multiply $32 by .30, you will get $9.60. That is the amount of the discount. If you subtract $9.60 from $32, you will get $22.40 which is what he paid before tax. Therefore the percent discount is 30%.
H = 2sqrt2
D = 6sqrt3
In a 45,45,90 triangle the hypotenuse is (x)sqrt2 while the side lengths are equivalent being a single value x. Therefore, when given the hypotenuse and solving for the leg, divide 4 by sqrt2 to get 4sqrt2/2 which simplifies to 2sqrt2 when the denominator and numerator cancel.
In a 30,60,90 triangle the short leg x is across from the 30 degree angle meaning the angle across from the 60 degree angle is x times the sqrt of 3. Therefore the long leg is 6sqrt3
