48 cents per meter is correct
AB = ==> distance between the bottom of the plank; and the wall ===> 3 ft.
C ====> 49 degrees
For letter a, to solve for AC:
AC ==> HYPOTENUSE. The angle C is the OPPOSITE side of AB.
use sine :
sin A ===> opposite/hypotenuse
Solve:
sin 49 ====> 3/AC
AC ====> 3 / sin 49
AC ====> 3.96 ft.
For letter b, to solve for BC:
We are now given with the base (3 ft.); and; the hypotenuse (3.96 ft.) so we can use the Pythagorean theorem:
a^2 + b^2 = c^2
Let:
a ===> AB
b ===> BC
c ===> AC
(AB)^2 + (BC)^2 ===> (AC)^2
3^2 + (BC)^2 ===> (3.96)^2
(BC)^2 ===> (3.96)^2 - 3^2
(BC)^2 ===> 6.6816
sqrt (BC)^2 ===> sqrt 6.6816
Answer: BC ===> 2.58 ft.
Hope that helps!!!! : )
Given:
treasury bond = 40,000
brokers commission = 600
interest rate = 12$ p.a
interest paid semi-annually, january 1 and july 1.
Since the treasury bond was sold on June 1, its interest revenue will only be equal to 1 month ( June 1 to July 1).
12% / 12 months = 1% per month
40,000 * 1% = 400 interest revenue to be recorded on July 1.
Answer:
The roots are
![x=\frac{1}{6} [3+ i\sqrt{3}]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B6%7D%20%5B3%2B%20i%5Csqrt%7B3%7D%5D)
![x=\frac{1}{6} [3- i\sqrt{3}]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B6%7D%20%5B3-%20i%5Csqrt%7B3%7D%5D)
Step-by-step explanation:
we have
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
Remember that
so
![x=\frac{1}{6} [3\pm i\sqrt{3}]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B6%7D%20%5B3%5Cpm%20i%5Csqrt%7B3%7D%5D)
The roots are
