to do it in mental math: you can ignore the zeroes in 400 for now.
4*14 = 4*10 + 4*4 = 40 + 16 = 56
now add the zeroes back on: 5600m
To tessellate a surface using a regular polygon, the interior angle must be a sub-multiple (i.e. factor) of 360 degrees to cover completely the surface.
For a regular three-sided polygon, the interior angle is (180-360/3)=60 °
Since 6*60=360, so a regular three-sided polygon (equilateral triangle) tessellates.
For a regular four-sided polygon, the interior angle is (180-360/4)=90 °
Since 4*90=360, so a regular four-sided polygon (square) tessellates.
For a regular five-sided polygon, the interior angle is (180-360/5)=108 °
Since 360/108=3.33... (not an integer), so a regular five-sided polygon (pentagon) does NOT tessellate.
For a regular six-sided polygon, the interior angle is (180-360/6)=120 °
Since 3*120=360, so a regular six-sided polygon (hexagon) tessellates.
This is the concept of applications of volume. We are required to calculate BTUs per cubic foot. This will be given by the formula:
(BTU)/volume
Total BTU=15*750=11,250
(assuming the bus is a perfect cuboid) volume of the bus will be;
volume=length*width*height
=38*8.5*6.25
=2018.75 ft^2
Thus the BTUs per foot will be:
11250/2018.75
5.57 BTUs/ft
Answer:
Option B, y + 3 = -7/3(x - 2)
Step-by-step explanation:
<u>Point slope form: (y - y1) = m(x - x1)</u>
<u />
<u>Step 1: Find the slope</u>
m = 
m = 
m = 
m = 
<u>Step 2: Plug into the point slope form</u>
(y - 4) = -7/3(x - (-1))
(y - 4) = -7/3(x + 1)
OR
(y - (-3)) = -7/3(x - 2)
y + 3 = -7/3(x - 2)
Answer: Option B, y + 3 = -7/3(x - 2)
