Answer:
Option D.
Step-by-step explanation:
It is given that triangle XYZ has vertices X(–1, –3), Y(0, 0), and Z(1, –3).
Malik rotated the triangle 90° clockwise about the origin. So, rule of rotation is
Now,
The image points are X’(–3, 1), Y’(0, 0), Z’(–3, –1).
Therefore, the correct option is D.
You can use Soh Cah Toa to get your answer, in other words, sin cos tan. If you already have x, that means you probably used tan, which is adjacent and opposite. Now for y, you are trying to find the hypotenuse so you could use, sin or cos, for sin you would use the adjacent (x) and the hypotenuse (y) and for cos, you would use opposite (4) and the hypotenuse (y). This is all based on the angle 45.
This is a case of exponential growth. The appropriate equation, with the given data inserted, is P(t) = 500 ( 1+0.15)^50
or = 500 (1.15)^50
Evaluate this on your calculator.
Answer:
<h2>30.67 pounds of 32% copper alloy and 10.33 pounds of 65% copper alloy</h2>
Step-by-step explanation:
First alloy contains 32% copper and the second alloy contains 65% alloy.
We wish to make 44 pounds of a third alloy containing 42% copper.
Let the weight of first alloy used be
in pounds and the weight of second alloy used be
in pounds.
Total weight =

Total weight of copper = 

Subtracting 32 times first equation from second equation,

∴ 30.67 pounds of first alloy and 13.33 pounds of second alloy were used.