Answer:
a = 1.8 to the nearest tenth.
Step-by-step explanation:
Remark
I don't think this case is ambiguous. It has only 1 solution, I think.
Step One
Find the top angle.
All triangles have 180 degrees.
15 + 105 + x = 180
120 + x = 180 Subtract 120 from both sides
x = 180 - 120
x = 60
Step Two: Find a
a/sin(60) = 2/Sin(105) Multiply both sides by sin(60)
a = 2 * Sin(60) / sin(105)
a = 2 * .8660 / 0.9659
a = 1.793
Answer:
The amount is $2137.24 and the interest is $237.24.
Step-by-step explanation:
STEP 1: To find amount we use formula:
A = P
A = total amount P = principal or amount of money deposited, r = annual interest rate n
= number of times compounded per year t = time in years In this example we have
P = $1900 , r = 4% , n = 1 and t = 3 years
After plugging the given information we have
A = 1900
A = 1900 · 1.0
A = 1900 · 1.124864
A = 2137.24
STEP 2: To find interest we use formula A = P + I, since A = $2137.24 and P = $1900 we
have:
A = P + I
2137.24 = 1900 + I
I = 2137.24 − 1900
I = 237.24
Answer:
i would say B
Step-by-step explanation:
You can certainly start out that way, but when you solve that equation for x, it's a little more complex than if you started with the other equation. I usually start with the most simple equation first. Let's take the first equation and solve for y... that will leave us without any fractions to deal with.
2x + y = -14
y = -14 - 2x
Now we have a y value and we can substitute it back into the other equation. So we will replace y in the second equation with (-14 - 2x).
That will leave us with just the x as a variable and we can solve for x.
7x - 4y = -19
7x - 4(-14 - 2x) = -19 multiply the -4 through the parentheses
7x + 56 + 8x = -19 combine like terms
15x + 56 = -19 subtract 56 from each side
15x = -75 divide each side by 15
x = -5
Now we have a value for x that we can substitute back into either of the original equations and then solve for y. I usually go with the easier equation, but it doesn't matter. Let's use the first one...
2x + y = -14
2(-5) + y = -14 multiply the 2 through the parentheses
-10 + y = -14 add 10 to each side
y = -4
So your ordered pair is
(-5, -4)
That is where the 2 lines are equal to one another, so that's the point where they they intersect.
Note*** You can start these problems with either equation and solving for either x or y... it doesn't matter. After you substitute the values into the other equation it will work out the same.
Answer:
Step-by-step explanation:
f(x)=(x+4)(x-4)(x-1)
=(x²-16)(x-1)
=x³-x²-16x+16