<h2>
Greetings!</h2>
Answer:
Area is 147.74
Step-by-step explanation:
You need to recall that the equation for the area of a rectangle is:
Length * Width = area
So 16 3/5 * 8 9/10 = area
Rearrange so the whole numbers are being multiplied and the fractions are too:
We need to make the denominator same, this can be done by simply multiplying 3/5 by 2:
3/5 * 2 = 6/10
Now the two numbers can be written as 16.6 and 8.9.
Multiply both numbers by 10:
166 * 89 = 14774
Then divide this by 100 (two lots of division by 10)
14774 ÷ 1000 = 147.74
So the area of the rectangle is 147.74!
<h2>Hope this helps!</h2>
This one is probably f(x)=2(4)
By definition of tangent,
tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)
Recall the double angle identities:
sin(2<em>θ</em>) = 2 sin(<em>θ</em>) cos(<em>θ</em>)
cos(2<em>θ</em>) = cos²(<em>θ</em>) - sin²(<em>θ</em>) = 2 cos²(<em>θ</em>) - 1
where the latter equality follows from the Pythagorean identity, cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1. From this identity we can solve for the unknown value of sin(<em>θ</em>):
sin(<em>θ</em>) = ± √(1 - cos²(<em>θ</em>))
and the sign of sin(<em>θ</em>) is determined by the quadrant in which the angle terminates.
<em />
We're given that <em>θ</em> belongs to the third quadrant, for which both sin(<em>θ</em>) and cos(<em>θ</em>) are negative. So if cos(<em>θ</em>) = -4/5, we get
sin(<em>θ</em>) = - √(1 - (-4/5)²) = -3/5
Then
tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)
tan(2<em>θ</em>) = (2 sin(<em>θ</em>) cos(<em>θ</em>)) / (2 cos²(<em>θ</em>) - 1)
tan(2<em>θ</em>) = (2 (-3/5) (-4/5)) / (2 (-4/5)² - 1)
tan(2<em>θ</em>) = 24/7
Answer:
a rhombus
Step-by-step explanation:
If you graph the problem, you can see the shape of the quadrilateral. I attached a picture of a graph below. I hope this helped you!! Have a great rest of your day.
<h3>Answer: $26.62 </h3>
============================
Work Shown:
P = 20 is the amount deposited
r = 0.10 is the decimal form of the 10% interest rate
n = 1 means we compound 1 time per year (annually)
t = 3 is the number of years
Plug those four values into the compound interest formula below
A = P*(1+r/n)^(n*t)
A = 20*(1+0.1/1)^(1*3)
A = 20*(1+0.1)^(3)
A = 20*(1.1)^(3)
A = 20*1.331
A = 26.62
