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xeze [42]
3 years ago
12

What is the surface area of this right triangular prism ? round your answer to the nearest tenth.​

Mathematics
2 answers:
Anton [14]3 years ago
6 0

Answer: the surface area of the triangular prism is 78 m

Step-by-step explanation:

The surface area of the triangular prism is the sum of the area of each face of the prism.

The formula for determining the area of the triangular face is expressed as

Area = 1/2 × base × height

Area = 1/2 × 8 × 3 = 12m

Area of the 2 triangular faces is

12 × 2 = 24 m

Area of the rectangular face at the top is 5 × 3 = 15m

Area of the two rectangular faces at the top is

2 × 15 = 30m

Area of the rectangular base is

8 × 3 = 24m

Therefore, the surface area of the triangular prism is

24 + 30 + 24 = 78 m

velikii [3]3 years ago
5 0

Answer:

78 m^2 Unless I got some of the measurements wrong, kinda hard to see them.

Step-by-step explanation:

The surface area will be the sum of the area of each face.  so lets see, there is the base (in this orientation) which is a 8x3 rectangle it looks like.

then two trianglular sides with both having a base of 8 and height of 3

then two "roof" pieceswhich are rectangles again, one side of 3 and the other 5.

Now we add each face up.

rectangular base = 3x8 = 24

2 triangular sides = 2(.5*8*3) = 24

2 rectangular roof pieces = 2(5*3) = 30

Now add it all up

24+24+30 = 78

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Answer:

A or D

Step-by-step explanation:

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4 0
3 years ago
"If the probability of an event is observed repeatedly during independent repetitions than the ratio of the observed to the tota
PIT_PIT [208]

Answer:

This is the Law of <u>large</u> Numbers.

Step-by-step explanation:

The Law of Large numbers states that as the sample size is increased the sample mean value gets closer to the population mean.

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3 0
3 years ago
Read 2 more answers
The sum of consecutive integers 1,2,3,...,n is given by the formula 1/2n(n+1). How many consecutive integers, starting with 1, m
LuckyWell [14K]

1/2 * n * (n+1) = 1081

distribute

1/2 n^2 +1/2n -1081=0

factor out 1/2

1/2 (n^2 +n -2162) =0

multiply each side by 2

(n^2 +n -2162) =0

factor

(n-46) (n+47) =0

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Answer 46


7 0
3 years ago
43x+ 67y = -24 and 67x + 43y = 24 solve
aleksandrvk [35]

Answer:

  (x, y) = (1, -1)

Step-by-step explanation:

We'll write these equations in general form, then solve using the cross-multiplication method.

  43x +67y +24 = 0

  67x +43y -24 = 0

∆1 = (43)(43) -(67)(67) = -2640

∆2 = (67)(-24) -(43)(24) = -2640

∆3 = (24)(67) -(-24)(43) = 2640

These go into the relations ...

  1/∆1 = x/∆2 = y/∆3

  x = ∆2/∆1 = -2640/-2640 = 1

  y = ∆3/∆1 = 2640/-2640 = -1

The solution is (x, y) = (1, -1).

_____

<em>Additional comment</em>

The cross multiplication method isn't taught everywhere. The attachment explains a bit about it. Our final relationship changes the order of the fractions to 1, x, y from x, y, 1. That way, we can use the equation coefficients in their original general-form order. (The fourth column in the 2×4 array of coefficients is a repeat of the first column.)

4 0
3 years ago
What is the oppostie of _12
vazorg [7]
The opposite of twelve is negative twelve.
3 0
3 years ago
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