Answer:
504 in³
Step-by-step explanation:
this is a rectangular prism and the volume formula is v = l * h * w
so now
v = l*w*h
v= 6*8*12
v = 576 inch³
that's not the answer, that's the volume for whole thing but there is a gap and we have to subtract it from the whole volume. you can look at the option and say it's 504 inch³ from common sense. here is the work:
the gap has 2 inch length, 6 inch width and 6 in height.
v = l*h*w
v = 6 * 2 * 6
v= 72 inch
now subtract the gap volume from total volume so
576 - 72 = 504 in³
Answer:
Step-by-step explanation:
Coordinates of points A and C are (-8, 6) and (2, 5).
If a point B intersects the segment AB in the ratio of 2 : 5
Then coordinates of the point B will be,
x = 
and y = 
where 
and 
are the coordinates of the extreme end of the segment and a point divides the segment in the ratio of m : n.
For the coordinates of point B,
x = 
= 
y = 
= 
Therefore, coordinates of pint B will be,
Take away 3 from both sides,
x+3<-2
-3 -3
=x<-5
answer=x<-5
hope this helps.......
Answer:
Step-by-step explanation:
Product of slope of perpendicular lines = -1
6x + 5y = 30
Write this equation in y = mx + b form
5y = -6x + 30
y = 
Slope of this line m₁ = -6/5
m₁ * m₂ = -1
m₂ = -1÷m₁ = -1 * 
& (-6 , -7)
Equation of the required line: y - y₁ = m (x - x₁)
![y - (-7) = \frac{5}{6}(x - [-6])\\\\y + 7 = \frac{5}{6}x + 6 *\frac{5}{6}\\\\y = \frac{5}{6}x +5-7\\\\y=\frac{5}{6}x-2](https://tex.z-dn.net/?f=y%20-%20%28-7%29%20%3D%20%5Cfrac%7B5%7D%7B6%7D%28x%20-%20%5B-6%5D%29%5C%5C%5C%5Cy%20%2B%207%20%3D%20%5Cfrac%7B5%7D%7B6%7Dx%20%2B%206%20%2A%5Cfrac%7B5%7D%7B6%7D%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B5%7D%7B6%7Dx%20%2B5-7%5C%5C%5C%5Cy%3D%5Cfrac%7B5%7D%7B6%7Dx-2)
This problem asks for the surface area of the box, since the contact paper covers the outside (like wrapping paper). The box is 11 x 8 x 9, its length, width, and heighth respectively. And the formula for the surface area of the box is
SA = 2(lw + wh + hl)
SA = 2(11*8 + 8*9 + 9*11)
SA = 2(88 + 72 + 99)
SA = 2(259)
SA = 508 square inches
We are told the contact paper costs eight cents a square inch.
508 square inches x 8 cents / square inch
= $41.44 (the square inches divide out)
Thus, Erin spent $41.444 on contact paper.
