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Sergio [31]
3 years ago
8

Describe a sequence of transformations that takes trapezoid A to trapezoid B

Mathematics
1 answer:
marin [14]3 years ago
3 0

Answer:

How do you describe the sequence of transformations?

Image result for Describe a sequence of transformations that takes trapezoid A to trapezoid B

When two or more transformations are combined to form a new transformation, the result is called a sequence of transformations, or a composition of transformations. Remember, that in a composition, one transformation produces an image upon which the other transformation is then performed.

Step-by-step explanation:

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Can anyone help me solve these math problems?
Veseljchak [2.6K]

Answer:

  1. x = 2
  2. r = 48
  3. 3536 ft
  4. √10
  5. 10°

Step-by-step explanation:

1. The Pythagorean theorem applies, so the sum of the squares of the legs is equal to the square of the hypotenuse.

  x² + (x+3)² = (√29)²

  2x² +6x +9 = 29 . . . . . . eliminate parentheses, collect terms

  2x² +6x -20 = 0 . . . . . . subtract 29

  x² +3x -10 = 0  . . . . . . . . divide by 2

  (x +5)(x -2) = 0 . . . . . . . . factor

x = -5 or +2 . . . . . . . . . . . . values that make the factors zero (-5 is extraneous)

The value of x is 2.

__

2. Even though the figure is drawn incorrectly the Pythagorean theorem still applies. (The second attachment shows the circle in the right place. The figure is not to scale.)

  14² + r² = (r+2)²

  196 + r² = r² +4r +4 . . . . eliminate parentheses

  192 = 4r . . . . . . . . . . . . . .subtract r²+4 from both sides

  48 = r . . . . . . . . . . . . . . . . divide by 4

The value of r is 48.

__

3. You will recognize that the triangle involving the distance above the ground, the distance along the ground, and the straight-line bullet path is an isosceles right triangle. So, the hypotenuse is √2 times the length of either leg. The path length of the bullet is ...

  (2500 ft)√2 ≈ 3536 ft

__

4. see below for the diagram

The length to the terminal point is found using the Pythagorean theorem:

  d = √(3² +(-1)²) = √10

The distance from the origin to the terminal point is √10 ≈ 3.16.

__

5. Angles "a" and "8a" total 90°, so we have ...

  a + 8a = 90°

  9a = 90° . . . . . . . . collect terms

  a = 10° . . . . . . . . . . divide by 9

The value of a is 10°.

8 0
3 years ago
if you paid $12000 for stock that was $ 8 per share and then sold all shares for 15000 how much profit did you make ?
quester [9]
You would have a profit of $3,000
4 0
2 years ago
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If you bought a cookie for $0.80 and paid for it with a $5 bill how much change would you receive
valentina_108 [34]
You would get $4.20 back
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Simplify each expression <br> 4+8(-2n+3)
artcher [175]

Answer:

  28 -16n

Step-by-step explanation:

Use the distributive property, then collect terms.

  4 +8(-2n +3)

  = 4 +8(-2n) +8(3)

  = 4 -16n +24

  = 28 -16n

_____

This could also be written

  -16n +28

but then the leading sign would be negative. Sometimes leading minus signs get lost, so I prefer the first term to be positive.

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What digit is in the ten thousands place 9,435,678
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Easy the 3 is in the ten thousands place
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