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Answers

Answer 1
Answer: A triangular prism is composed of 2 triangles and 3 rectangles.

1 triangle has 2 right triangle, for a total of 4 right triangles.

Area of a right triangle = ab/2 = (3.5m * 2m)/2 = 7/2 = 3.5m²
3.5m² x 4 right triangles = 14 m² total area of the triangle bases.

Rectangle: length = 11 m ; width = 4m
Area of a rectangle = L * W = 11m * 4m = 44m²
44m² x 3 rectangles = 132 m² total area of the rectangle faces

Surface area = 132 m² + 14 m² = 146 m²
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Answer 2
Answer: A triangular prism is composed of 2 triangles and 3 rectangles.

1 triangle has 2 right triangle, for a total of 4 right triangles.

Area of a right triangle = ab/2 = (3.5m * 2m)/2 = 7/2 = 3.5m²
3.5m² x 4 right triangles = 14 m² total area of the triangle bases.

Rectangle: length = 11 m ; width = 4m
Area of a rectangle = L * W = 11m * 4m = 44m²
44m² x 3 rectangles = 132 m² total area of the rectangle faces

Surface area = 132 m² + 14 m² = 146 m²

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Which statement can be used to prove that the two triangles are congruent? A: the HL Theorem

B: the Angle-Side-Angle Postulate (ASA)

C: the Angle-Angle-Side Theorem (AAS)


D: the SAS Postulate

Answers

Answer:

HL Theorem

Step-by-step explanation:

Here, we see that both triangles have a right angle, making them right triangles.  We know that the hypotenuse must be equivalent, as it is the same line.  Furthermore, we see that one of the legs from each triangle are equivalent.  Therefore, we can use HL Theorem to prove these triangles are equal.

Answer:

The SAS postulate

Step-by-step explanation:

  • Longer lengths of the two triangles are equal (S)
  • The triangles are reflected about the line where their equal hyputenuses meet (S)
  • The right angle of one triengle is equal to the right angle of the other triengle (A)

Thus the two triangles are congruent as evidenced by the SAS postulate.

What is 3.82 rounded to the nearest whole number

Answers

Answer:

4

Step-by-step explanation:

Step 1:  Round to the nearest whole number

3.82

4

Answer:  4

3.82 rounded to the nearest number is 4

What is 9.765 rounded to the nearest tenth

Answers

You round it up to 9.8 because the hundredth place is above 5.

The 7 is the tens place, 6 is the hundredth, and 5 is thousandth.

it would be 9.8 rounded to the nearest tenth

Estimate the value of
21*3.86/0.207
anyone knw the estimate for this?

Answers

(21*3.86)/(0.207)=(81,06)/(0,207)\approx391.6

The caterpillar is trying to crawl up the tree. It takes 2 minutes to climb 1 foot, but it falls back 6 inches each time it reaches 1 foot. How long will it take the caterpillar to crawl to the top of the 8 foot tree?

Answers

Alright so, judging from this question, we could do some simple algebra. Where x is the height where the caterpillar is in feet, a simple expression would be 2x - 0.5x or x (2-0.5) which is x * 1.5  .just plug 8 in x and you will get the answer.

What is the value of the expression 2w-2 when 5=w

Answers

The required value of the expression 2w - 2 when w = 5 is 8.

Given that,
what is the value of the expression 2w-2 when 5=w is to be determined.

What is arithmetic?

In mathematics, it is defined as the number of operations performed according to the statements.

What is simplification?

The method in mathematics to work and interpret the functions or expressions to make the functions or expressions simple or more understandable is called simplifying and the process is called simplification.

Here,
The given expression is 2w - 2
W = 5
= 2 * 5 - 2
= 10 - 2
= 8

Thus, the required value of the expression 2w - 2 when w = 5 is 8.

Learn more about arithmetic here:

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2w - 2
w = 5

2(5) - 2
10 - 2 = 8

The value would be 8
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