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lisov135 [29]
3 years ago
10

You have a triangle with one side length of 5 and side B

Mathematics
1 answer:
Anna [14]3 years ago
6 0

Answer:

13.9283882772

Step-by-step explanation:

Pythagorean Theroem, so 5^2+13^2=194

Under square root 194=13.9283882772

Hope I helped!

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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
What is the solution to the linear equation?<br><br> –12 + 3b – 1 = –5 – b
marysya [2.9K]
-12+3b-1=-5-b
Combine like terms to get:
3b-13=-5-b
Add 13 to both sides:
3b= 8-b
Add b to both sides:
4b=8
Divide both sides by 4:
4b/4=8/4
b=2

Final answer
b=2
4 0
3 years ago
Read 2 more answers
Help me and I give you
Murljashka [212]
Im pretty sure its b im soo sorry if im wrong.
7 0
3 years ago
What is a simpler form of the expression? -3(-4y+3)+7y please explain, i don’t understand it.
Pavlova-9 [17]

Answer:

19y - 9

Step-by-step explanation:

We can use the acronym PEMDAS. First, we need to calculate -3(-4y+3) by distributing. This is -3 * (-4y) + (-3) * 3 = 12y - 9 so the expression becomes 12y - 9 + 7y. Next, we need to combine like terms. 12y and +7y are like terms since they both have y so combining them gives us 12y + 7y = 19y. -9 stays by itself since there are no other constants so the final answer is 19y - 9.

5 0
3 years ago
Read 2 more answers
PLEASE HELP, WILL MARK BRAINILEST
Shkiper50 [21]

A because shes buying 4 chocolate bars and X is the amount of fruit snacks shes wanting to buy and its less than or equal to 25

4 0
3 years ago
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