The rectangular prism below is made up of 6 rectangular faces, and the faces opposite to each other are have an equal area.
The area of one of the faces is lxh or lh, and the area of the face opposite to it is also equal, so the area of those two equal faces is 2lh.
The area of the base of the prism is lxw, and the area of its opposite face is equal, so the area of those two equal faces is 2lw.
The area of the face in the left side of the prism is wxh, and the area of the face opposite to it is also equal, so their combined area is 2wh.
So, to find the total surface area of a rectangular prism, we’d add the sum of all the rectangular faces, so the formula of finding the surface area of a rectangular prism=
2lh+2lw+2wh
=2(lh+lw+wh)
Given,
Surface area of the rectangular prism=288 cm^2
2(lh+lw+wh)=288
2[4h+(4x9)+9h)]=288
4h+(4x9)+9h=288/2
4h+(4x9)+9h=144
13h+36=144
13h=144-36
13h=108
h=108/13
h=8.308 cm
Hope this helps!
3. A
2. C
Idk if you should repost this with a better pic though
Equation y=-4x
m=-4. Slope is -4 y-intercept is 0
y-12=2(x-1)
y-12=2x-2
y=2x-2+12
y=2x+10
Answer: 
Step-by-step explanation:
Confidence interval for population mean is given by :-
(1)
, where
= Sample mean
= Critical z-value
= Population standard deviation.
n= Sample size.
As per given , we have
n= 610

Significance level for 85% confidence : 
By z-table critical two tailed z-value : 
Put all values in (1) , we get




Hence, the 85% confidence interval for the mean consumption of meat among people over age 40. = 