Answer:
see explanation
Step-by-step explanation:
The area (A) of a regular decagon ( 10 sided ) is calculated as
A = 0.5 × perimeter × apothem
Here side length = 3.25, hence perimeter = 10 × 3.25 = 32.5 m, thus
A = 0.5 × 32.5 × 5 = 81.25 m²
Hey there! I'm happy to help!
First, we need to rotate our points 180° about the origin. To find the coordinates after such a rotation, we simply find the negative version of each number in the ordered pair, which can be written as (x,y)⇒(-x,-y).
Let's convert this below
A: (1,1)⇒(-1,-1)
B: (5,4)⇒(-5,-4)
C: (7,1)⇒(-7,-1)
D: (3,-2)⇒(-3,2)
Now, we need to translate these new points five units to the right and one unit down. This means we will add 5 to our x-value and subtract 1 from our y-value. This will look like (x,y)⇒(x+5,y-1). Let's do this below.
A: (-1,-1)⇒(4,-2)
B: (-5,-4)⇒(0,-5)
C: (-7,-1)⇒(-2,-2)
D: (-3,2)⇒(2,1)
Therefore, this new parallelogram has coordinates of A'(4,-2), B'(0,-5), C'(-2,-2), and D'(2,1)
Now you know how to find the coordinates of translated figures! Have a wonderful day! :D
Work: 5√2 + √18
First you must find the largest perfect square in √18:
The perfect square happens to be 9
√18 => 9√2
You must then simplify 9 since it is a perfect square:
9√2 => 3√2
Then you must add both terms together:
5√2 + 3√2 = 8√2
Answer: 8√2 or 8 square root 2
I hope this helps you!
A = P + SI
A-P = SI
5425-5000 = 425
THEREFORE THE SIMPLE INTRESTE IS $425
SI = PTR/100
425 = 5000×1×R/100
425×100/5000×1=R
425×100÷5,000×1 = 8.5%
THEREFORE THE RATE IS 8.5%
