For #1 and 2, find the lateral area and surface area of each prism.

1. Lateral: 72 SA: 142

2. SA: 36  Lateral: 24

Step-by-step explanation:

1. perimeter of base times the height

2l+2w x h

2(5) + 2(7) x 7

24 x 3 = 72

Surface area: A=2(wl+hl+hw)=2·(7·5+3·5+3·7)=142

2. Surface Area

Using the formulas

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving forA

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=5·2+4·2+3·2+1

2·﹣54+2·(5·4)2+2·(5·3)2﹣44+2·(4·3)2﹣34

=36

Lateral: A=(a+b+c)h=(5+4+3)·2=24

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

it would take 7/10 of an hour too fill the pool.

step-by-step explanation: