Answer:
[1, 1]
Step-by-step explanation:
Translation → [-1, 3] moves down to [-1, 1]
Now, a <em>90°-clockwise rotation</em> is the exact same as a <em>270°-counterclockwise rotation</em>, and according to the <em>270°-counterclockwise rotation</em> [<em>90°-clockwise rotation</em>] <em>rule</em>, you take the y-coordinate, bring it over to your new x-coordinate, and take the OPPOSITE of the x-coordinate and set it as your new y-coordinate:
<u>Extended Rotation Rules</u>
- 270°-clockwise rotation [90°-counterclockwise rotation] >> (<em>x, y</em>) → (<em>-y, x</em>)
- 270°-counterclockwise rotation [90°-clockwise rotation] >> (<em>x, y</em>) → (<em>y, -x</em>)
- 180°-rotation >> (<em>x, y</em>) → (<em>-x, -y</em>)
Then, you perform your rotation:
270°-counterclockwise rotation [90°-clockwise rotation] → [-1, 1] moves to [1, 1]
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Answer:
3 7/8
Step-by-step explanation:
_____ + 5 3/4 = 9 5/8
x + 5 3/4 = 9 5/8
Subtract 5 3/4 from each side
x + 5 3/4 - 5 3/4 = 9 5/8 - 5 3/4
x = 9 5/8 - 5 3/4
Get a common denominator of 8
5 3/4 *2/2 = 5 6/8
x = 9 5/8 - 5 6/8
We need to borrow 1 from the 9 in the form of 8/8
x= 8 + 8/8+ 5/8 - 5 6/8
x = 8 13/8 - 5 6/8
= 3 7/8
SohCahToa
Heard of it?
Sine- opposite over hypotenuse
Cosine-adjacent over hypotenuse
Tangent- opposite over adjacent
The number of dollars for one peso is 20 dollars.
Exchange rate is the rate at which one currency is exchanged for another currency.
In order to determine how many pesos can be exchanged for a dollar, the value of pesos would be divided by the amount of dollars exchanged.
Exchange rate = 5000 / 250 = 20 dollars
This means that 1 peso would be exchanged for 20 dollars.
A similar question was answered here: brainly.com/question/18236223
Answer:
Cos;
26 degrees
Step-by-step explanation:
Recall: SOH CAH TOA
Reference angle = y°
Adjacent side = 18 in.
Hypotenuse = 20 in.
We would apply the trigonometric function CAH since we are dealing with the Adjacent side (A) and the Hypotenuse (H). Thus:
Cos y° = Adj/Hyp
Cos y° = 18/20
Cos y° = 0.9
y° = cos^{-1}(0.9)
y = 25.8419328° ≈ 26 degrees (nearest whole degree)
The answers are:
Cos and 26 degrees
