Answer:
56.4°
Step-by-step explanation:
sin(5/6)
= 0.98511 rad = 56.443°
Since y=x-4 you would simply just plug that into 'y' on the other equation, given: x-4=3x+2.
Subtract x from both sides, it will leave you with -4=2x+2.
Next you would subtract 2 from both sides, leaving you with -6=2x.
All you need now is to get rid of the coefficient in front of 'x' so you divide both sides with 2, leaving you with your answer: -3=x.
Answer: -3=x
Hope this helps!
First, determine the effective interests given both interest rates.
(1) ieff = (1 + 0.068/12)^12 - 1 = 0.07016
(2) ieff = (1 + 0.078/12)^12 - 1 = 0.08085
Calculating the interests will entail us to use the equation,
I = P ((1 + i)^n - 1)
Substituting the known values,
(1) I = ($5125)((1 + 0.07016)^1/2 - 1)
I = $176.737
(2) I = ($5125)(1 + 0.08085)^1/2 - 1)
I = $203.15
a. Hence, the greater interest will be that of the second loan.
b. The difference between the interests,
d = $203.15 - $176.737
$26.413
Answer:
Step-by-step explanation:
Given:
The above triangle
Required
Solve for AB in terms of a, b and angle C
Considering right angled triangle BOC where O is the point between b-x and x
From BOC, we have that:
Make h the subject:
Also, in BOC (Using Pythagoras)
Make 
the subject
Substitute 
for h
becomes
Factorize
In trigonometry:
So, we have that:
Take square roots of both sides
In triangle BOA, applying Pythagoras theorem, we have that:
Open bracket
Substitute and in
Open Bracket
Reorder
Factorize:
In trigonometry:
So, we have that:
Take square roots of both sides
Answer: 2x+12
Step-by-step explanation:
2(10)+2(x-4)
20+2x-8
12+2x
