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Inga [223]
2 years ago
8

Find the surface area of each triangular prism

Mathematics
1 answer:
Helen [10]2 years ago
3 0
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
You might be interested in
Is y=7.5x a proportional relationship and why
DerKrebs [107]
Direct Proportion functions look like this:

y=kx

'k' is the constant of proportionality and in this case its 7.5 or 15/2.

--------------------------------------------

When x=1, y=7.5
When x=2, y=15
When x=3, y=22.5

Therefore y is directly proportional to x.

--------------------------------------

DIRECT PROPORTION EXPLAINED:

Say a football costs £7.50. If you buy one football you'll have to pay out £7.50, but if you you buy two footballs you'll have to pay out £15.00. Therefore the cost of the football(s) is directly proportional to the amount of footballs you buy. C=cost, f=football(s) and C<span>∝f, therefore C=kf, but as k=7.5, C=7.5f.

INVERSE PROPORTION EXPLAINED:

If it were to take 8 hours for one bricklayer to set up a wall, how long would it take for two bricklayers to set up a wall? The answer in this case would be 4 hours.

T=time to set up a wall
b=bricklayer(s)

Therefore T</span><span>∝1/b, and T=k/b. In this case k=8 so T=8/b.

When b=1, T=8.
When b=2, T=4.

We'd say that the time it would take for bricklayers to set up a wall would be inversely proportional to the amount of bricklayers available.</span>
4 0
3 years ago
ILL GIVE BRAINLIEST<br><br> Combine like terms.<br> 4x – 7y + 2x – 4 = [ ? ]x + [ ]y + [ ]
maxonik [38]

Answer:

[6x] + [-7y] + [-4]

Step-by-step explanation:

There are only two like terms in this expression "4x" and "2x." Since they are like terms we can combine them by adding the coefficients and keeping the variable attached. Therefore we can combine 4x and 2x into 6x. Since there are no more like terms, this expression can be simplified to 6x - 7y - 4.

7 0
3 years ago
Read 2 more answers
3 over 4 open parentheses 1 half x space minus space 12 close parentheses space plus space 4 over 5
lesantik [10]

For this case we have the following expression:

\frac {3} {4} (\frac {1} {2} x-12) + \frac {4} {5}

Rewriting the expression we have:

We apply distributive property to the terms of parentheses:

\frac {3} {8} x- \frac {36} {4} + \frac {4} {5}\\\frac {3} {8} x-9 + \frac {4} {5}\\\frac {3} {8} x- \frac {41} {5}\\

Answer:

\frac {3} {8} x- \frac {41} {5}

4 0
2 years ago
What is the standard form of the equation of the circle to the right?​
olga_2 [115]
Use y=Mx+B plug in correct spot
3 0
3 years ago
Negative five is three more than twice a number(n). what is n?
artcher [175]

N is -4 because -4x2=-8 and -8+3=-5

4 0
2 years ago
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