Answer:
Step-by-step explanation:
✔️Finding h using trigonometric ratio:
Reference angle = 60°
Opposite = h
Adjacent = 3
Thus:
(tan 60 = √3)
Multiply both sides by 3
✔️Finding c using trigonometric ratio:
Reference angle = 45°
Hypotenuse = 8
Adjacent = c
Thus:
(cos 45 = √2/2)
Multiply both sides by 8
Answer:
A) A dilation by a scale factor of 2, centered at the origin, followed by a 180° clockwise rotation about the origin.
Step-by-step explanation:
a dilation by a scale factor of 2, centered at the origin will double its size and move point A from (-2,2) to (-4,4). Then the clockwise rotation of 180° degrees will rotate the figure so that it's point A (now called point D) will be at (4,-4).
Answer:
i dunno but the slope is -4/6
Step-by-step explanation:
The area of the triangle is 90 m²
Explanation:
Given that the base of the triangle is 15 m
The altitude of the triangle is 12 m
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
where b is the base and h is the altitude
Thus, we have,
and 
Substituting the values in the above formula, we get,
Multiplying the terms, we get,
Dividing, we get,
Therefore, the area of the triangle is 90 m²
Answer: 10x + 50
Step-by-step explanation:
lets say that x is equal to the amount of weeks that she runs. She starts off the first week with 50
Then, since she is adding 10 every week, you would do 10x, or 10 times the amount of weeks that she runs.
Since you originally started with 50, you have to add the 50 to the 10x.
So you get...
<h3>
10x + 50</h3>
For example
on week 2, if you plug in 2 to x you get
10(2) +50
20 + 50
70 laps after the second week
