What is the surface area of the triangular prism

Mathematics

1 answer:

SIZIF [17.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

First I know that both triangles have an area of 24. And judging from the rectangles the height is 10 correct? If so then it would be 24+24+60+60+36. The rectangles area is 60 and the square area is 36. You then add them all together and get 224. So the answer is A.

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If x is an acute angle and tan x =3/4 evaluate cosx/sinx

zvonat [6]

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8 0

3 years ago

I need help finding the bottom layer of the cake

Alenkasestr [34]

In a trpezium, the median line is always parallel to the bases. The expression for the length of the median of trapezium is :

$\text{length of mediam=}\frac{Sum\text{ of parallel sides}}{2}$

In the trapezium: NM = ML=LK=PQ=QR=RS

we have : NP = 8, LR =20

Conisder the case of trapezium NPLR, where MQ is the median

From the expression of the length of median:

$\begin{gathered} MQ=\frac{NP+LR}{2} \\ MQ=\frac{8+20}{2} \\ MQ=\frac{28}{2} \\ MQ=14 \end{gathered}$

Now, consider the case of trapezium MQSK, where LR is act as median, MQ= 14, LR =20

From the expression of the length of median

$\begin{gathered} \text{length of median=}\frac{Sum\text{ of parallel sides}}{2} \\ LR=\frac{MQ+KS}{2} \\ 20=\frac{14+KS}{2} \\ 14+KS=40 \\ KS=40-14 \\ KS=26\text{ inches} \end{gathered}$

So, the diameter of the bottom KS is 26 inches

Answer : the diameter of the bottom KS is 26 inches

6 0

1 year ago

Please help out explanation need it

Ira Lisetskai [31]

Answer:

156m^2

Step-by-step explanation:

I dont know what you mean by "each figure," but if you need the surface area for the rectangular prism, then the answer is 156, because the top square has a surface area of 3*6, then it equals 18, and the bottom square is the same, so it is also 18, 18*2=36

The 4 rectangle on the side are all the same, and they are all 10x3 which is 30, so 30*4 because there are 4 rectangles, equals 120.

120+36=156. The surface area of the rectangle is 156m^2

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3 years ago

What's the answer to -3x + 4(2x + 9)=66

bija089 [108]

$-3x + 4(2x + 9)=66\\\\-3x+8x+36=66\\\\5x=30\\\\x=6$