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Phantasy [73]
4 years ago
6

Norma Ann planned a rectangular courtyard, as shown in the scale drawing below. She decides to change the width, the shorter sid

e of the courtyard, from 45 ft to 40 ft. Which expression finds the change in the scale factor? PLSS HELP!
Mathematics
1 answer:
trapecia [35]4 years ago
7 0

Answer: 45 / 40 ft

Step-by-step explanation:

Given that She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. Which expression finds the change in the scale factor?

Actual width of shorter side = 45 ft

New width of shorter side = 40 ft

Scale factor is the ratio of the actual length to the new or intended length

Scale factor = Actual width / New width

Hence, scale factor :

45 ft / 40 ft

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What is the quotient (x^3-3x^2+3x-2) ÷ (x^2-x+1)​
qaws [65]

Answer:

x-2

Step-by-step explanation:

x3−3x2+3x−2/x2−x+1

=

x3−3x2+3x−2/x2−x+1

=

(x−2)(x2−x+1)/x2−x+1

=x−2

8 0
3 years ago
What are the coordinates of R' after a dilation by a scale factor of 3, centered at the origin, followed by the translation (x,
emmainna [20.7K]

9514 1404 393

Answer:

  C.  (9, 18)

Step-by-step explanation:

Given R(3, 5), a dilation by a factor of 3 will multiply each coordinate to give ...

  (9, 15)

Then the translation up by 3 will give you the image coordinates ...

  (x, y) ⇒ (x, y+3)

  (9, 15) ⇒ (9, 15 +3) = (9, 18)

The coordinates of R' are (9, 18), matching choice C.

_____

<em>Comment on multiple choice answers</em>

As it often does, here it works to "guess" the answer that has the coordinates that are most-repeated. An x-coordinate of 9 is part of 3 answer choices; a y-coordinate of 18 is the only repeated value in the answer choices. If you were to guess, an appropriate guess would be (9, 18). That happens to be correct in this case.

8 0
3 years ago
Use the diagram to find the height of statue.round to the nearest tenth
jeyben [28]

Answer:

7.3 ft

Step-by-step explanation:

The information given represents a right angle triangle with the following:

reference angle = 52°

Adjacent side length = 5.7 ft.

Opposite side length = height of the statue = h

Applying the trigonometric ratio formula, we would have:

tan(52) = \frac{h}{5.7}

Multiply both sides by 5.7

tan(52) \times 5.7 = \frac{h}{5.7} \times 5.7

tan(52) \times 5.7 = h

h = 7.3 ft (nearest tenth)

6 0
3 years ago
If y is 20 when x is 5 find x when y is 60
Verdich [7]

Answer:

15

Step-by-step explanation:

If y is 20 when x is 5 then x is always 1/4 of y

60*(1/4)=15

5 0
3 years ago
Read 2 more answers
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sergejj [24]
This is a guess, but I think its A. I could be wrong though.
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