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stellarik [79]
2 years ago
9

PLS HELP! which of the following shows an example of the identity property of 0?

Mathematics
1 answer:
marshall27 [118]2 years ago
5 0

Answer:

\frac{22}{7}+(-\frac{22}{7})=0

Step-by-step explanation:

Because \frac{22}{7} and its inverse, -\frac{22}{7}, give a sum of 0, this shows the identity property of 0.

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Determine the surface area of each triangular prism. Round to the nearest tenth if necessary.
slamgirl [31]

Answer:

  1. 108 cm^2
  2. 211.2 cm^2
  3. 308.8 mm^2
  4. 560 yd^2

Step-by-step explanation:

In each case, you can use the given formula to find the surface area. The area of the triangular base (B) is ...

  A = 1/2bh

where b is the base of the triangle, and h is the height of the triangle perpendicular to that base.

You will notice that B is multiplied by 2 in the area formula, because there is a triangular base at either end of the prism. That means we can save some work by not multiplying by 1/2, and then by 2.

__

For figures 1, 3, 4, the triangle is a right triangle, so the base and height make up two of the three sides of it. The perimeter is finished by adding the length of the hypotenuse. That sum is then multiplied by the "height" of the prism (distance between bases) to find the lateral area as part of the area formula (Ph).

In figure 3, the triangle is equilateral, so the perimeter is not the sum of the base and height and a third side. In the attached spreadsheet, we have used a value "rest of perimeter" to make the sum be the right value for use in computing the value of Ph. For figure 3, that is 6+6-5.2=6.8. Then the sum 6 +5.2 +6.8 is 18, the proper perimeter for that figure.

__

The idea here is to let a spreadsheet do the tedious work of applying the same formula to different sets of numbers. The areas are ...

  1. 108 cm^2
  2. 211.2 cm^2
  3. 308.8 mm^2
  4. 560 yd^2

__

By way of example, we can "show work" for problem 1:

1. S = Ph +2B

  S = (4 +3 +5)(8) +2(1/2)(4)(3) = 12(8) +12 = 96 +12 = 108 . . . cm^2

4 0
2 years ago
Read 2 more answers
Which is greater 8 1/2 or 9 1/2 and how do you put it as a expression using > < and =
aivan3 [116]

Answer: 8 1/2 is less than 9 1/2, 8 1/2< 9 1/2

7 0
3 years ago
Read 2 more answers
What is 125.1 ÷ 6 and if you do how do you do it?
Mariana [72]

ans = 20.85

hope it helps...!!!

8 0
2 years ago
Which description does this model and equation represent? A)Area of a square as the sides increase by 1 unit
zaharov [31]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
I need some help with this, I am supposed to solve for x
liq [111]

They are the same measurements, because:

from 10x + 5, first do vertical angle.

then, alternate interior angle,

then vertical angle again,

and another alternate interior angle.

For each vertical and alternate interior angles, the measurements stay the same.


Set them equal to each other, isolate and solve for x.

10x + 5 = 11x - 1

First, isolate the x. Subtract 10x from both sides, and add 1 to both sides

10x (-10x) + 5 (+1) = 11x (-10x) -1 (+1)

Simplify

5 + 1 = 11x - 10x

6 = x

x = 6

6 is your answer for x.

hope this helps

3 0
3 years ago
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