First, convert all of the cm measurements to m measurements (so they are all the same unit measurement)
2000 cm = 20 m 800 cm = 8m
<u>Total Perimeter </u>(Note that circumference of a semi-circle is 2 π r/2 = π r)
Add up the lengths of all of the outside edges. I am going to start on the top and move counter-clockwise:
40 + π (10) + 8 + 25 + 8 + (40 - 25 - 10) + 8 + 10 + 8 + π(10)
= 40 + 10π + 41 + (5) + 26 + 10π
= 112 + 20π
= 112 + 62.8
= 174.8
Answer: 174.8 m
<u>Total Area</u>
Split the picture into 5 sections (2 semi-circles, top rectangle, bottom left rectangle, and bottom right rectangle). Find the area for each of those sections and then add their areas together to find the total area.
2 semi-circles is 1 Circle: A = π · r² ⇒ A = π(20/2)² = π(10)² = 100π ≈ 314
top rectangle: A = L x w ⇒ A = 40 x 20 = 800
bottom left rectangle: A = L x w ⇒ A = 25 x 8 = 200
bottom right rectangle: A = L x w ⇒ A = 10 x 8 = 80
Total = 314 + 800 + 200 + 80 = 1394
Answer: 1394 m²
Answer:
Option B is correct that is amount she is getting per bottle is $0.15
Step-by-step explanation:
We have been given the information that melisande collected 14 bottles on saturday and 9 bottles on sunday
That means she has collected total of 23 bottles
Let us assume that the amount she is paid for recycling is $b
Since, she is left with $3.20 after the amount she gets for bottles we will get the equation below:
23b=3.20
Now, since she has to pay one time service fee equation will become
23b -0.25 =3.20
After simplification we will get
23b=3.20+0.25=3.45
b=3.45/23=.15
b=$0.15
Therefore, The amount she is getting per bottle is $0.15
Answer:
x = 5 y = 9
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y + 6 = 
(x - 9) ← distribute the parenthesis
y + 6 = x - 3 ← subtract 6 from both sides
y = x - 9 ← in slope- intercept form
X=27 and y=11
if you let each number equal x and y we know the sum is 38 so x+y=38
and the smaller is 16 less than the larger
. so if we say the smaller number is 7 then x-16=y
these can be solved as a simultaneous equation. x+(x-16)=38
2x-16=38
2x=54
x=27
(27)-16=y
y=11
so the answer is x=27 y=11
