Answer:
Step-by-step explanation:
Surface area of objects with flat surfaces like this is simply the area of each surface added together, so let's get to work.
Both have 6 faces, so we will be adding six values together for each.
Container A:
Hopefully you can imagine the six different faces. It's kinda like a cereal box.
The front and back of a cereal box have the same area, as do the two sides and the top and bottom, so that makes it a little easier.
Front and Back: 28 * 36 = 1008
Sides: 36*6 = 216
Top and Bottom: 6*28 = 168
Let me know if you don't understand how I did any of that. Anyway, since there is a matching face for each we add them all together twice.
1008*2 + 216*2 + 168*2 = 2784 in^2
Container B has a similar setup, I won't write out everything like I did unless you want me to work it out with you.
2(16*12+16*22+22*12) = 1616 in^2
So since Container A has a surface area of 2784 and Container B has a surface area of 1616 it's obvious container A has a larger surface area
C ,in the most parenthesis
Yess, such fun so
q=number of quarter
n=number of nickles
q+n=63
9.15=915 cents
25 cents=1 q
5 cents=1 n so
915=25q+5n
915=5(5q+n)
divide by 5
183=5q+n
we also have q+n=63
subtract q from both sides
n=63-q
subsitute 63-q for n in second equation
183=5q+63-q
add like terms
183=4q+63
subtract 63 from both sides
120=4q
divdie by 4
30=q
there were 30 quarters
subsitute
63=30+n
subtract 30
33=n
30 quarters
33 nicles
Answer:
76.53 cm
Step-by-step explanation:
From the question, the triangle formed has 2 sides and an included angle ;
Angle, θ = C = 45°
We use cosine rule :
Taking the side to find as c
a = 100 ; b = 100
From cosine rule :
c = sqrt(a² + b² - 2abCosC)
c = sqrt(100² + 100² - 2(100*100)Cos45
c = sqrt(10000 + 10000 - 20000 * 0.7071067)
c = sqrt(20000 - 14142.135)
c = sqrt(5857.865)
c = 76.536690
c = 76.53 cm
