Answer:
x=9.2394
Step-by-step explanation:
It's tan we're going to use because we're looking for the opposite and we already have the angle
Therefore, x will be
Tan 57= x/6
1.5399= x/6
x= 6*1.5399
x= 9.2394
You can approximate it to the nearest whole number which will be 9
Answer:
6y(y^2-3x)
Step-by-step explanation:
6y^3-18xy=6y(y^2-3x)
Answer:
<h2>m

F = 34°</h2>
Step-by-step explanation:
If E and F are complementary I means that the sum of their angles add up to 90° since all complementary angles have the sum of their angles equal to 90°
To find m
F add m
E and m
F and equate it to 90 to find x then substitute it into the expression for m
F
Thats
m
E + m
F = 90
9x - 38 + 2x + 40 = 90
11x + 2 = 90
11x = 90 - 2
11x = 88
Divide both sides by 11
x = 8
Now we have
if m
F = 9x - 38
m
F = 9( 8) - 38
m
F = 72 - 38
We have the final answer as
<h3>m

F = 34°</h3>
Hope this helps you
Answer:
$42,890
Step-by-step explanation:
The standard form for an exponential equation is

where a is the initial amount value and b is the growth rate or decay rate and t is the time in years. Since we are dealing with money amounts AND this is a decay problem, we can rewrite accordingly:

where A(t) is the amount after the depreciation occurs, r is the interest rate in decimal form, and t is the time in years. We know the initial amount (70,000) and the interest rate (.04), but we need to figure out what t is. If the car was bought in 2006 and we want its value in 2018, a total o 12 years has gone by. Therefore, our equation becomes:
or, after some simplification:

First rais .96 to the 12th power to get
A(t) = 70,000(.6127097573)
and then multiply.
A(t) = $42,890