If a and b represent the height and base of the triangular face, and h represents the length of its hypotenuse, and w represents the width or thickness of the prism, the surface area (A) is
.. A = ab +w*(a +b+ h)
Of course the area of each triangle is (1/2)ab, but there are two of them, so their total area is ab.
Put in the numbers and do the arithmetic. If you have a lot of them all specified in this way, a spreadsheet can make short work of it.
A = 5*12 +4*(5 +12 +13) = 160 . . . square inches
Answer:
7
Step-by-step explanation:
To find the missing value for the ratio, find number that multiply 8 to 56.
8*7 = 56.
So the numerator is 1 * 7 = 7.
Answer:
18 : 427 : 636
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Step-by-step explanation:
C = pi*d; solve for d.
Divide both sides of this eqn by pi: C/pi = d (answer)
To solve this, we must set up a
Systems of Equations problem
Let's say
C stands for
Coach seats bought and
S stands for
sleeper cars bought
Here are our equations we have enough information to make.
c + s = 93 115c + 290s = $20,320 Lets solve for Coach seats first
To do that we need a value for s
In the first equation,
s = 93 - cLets plug that in for S in the second equation
115c + 290(93 - c) = $20,320 Distribute and simplify
115c + 26,970 - 290c = $20,320
Combine like terms
-175c + 26,970 = $20,320
-175c = -6650
divide
c =
c = 38We just found out 38 coach seats were bought.
Plug in 38 for C in this equation ⇒ 115c + 290s = $20,320 to find S
115(38) + 290s = $20,320 Distribute and Simplify
4,370 + 290s = $20,320
290s = $15,950
Divide
S =
S = 55We just completed the problem!
38 Coach seats were bought and 55 Sleeper car seats were bought.