Answer:
sin(x) = cos(y)
Step-by-step explanation:
Let's figure out what sin(x) and cos(y) are before we figure out the relationship.
Sine is opposite / hypotenuse. Here, the opposite side to angle x is 12 and the hypotenuse is 13. So, sin(x) = 12/13.
Cosine is adjacent / hypotenuse. Here, the adjacent side of angle y is 12 and the hypotenuse is 13. So, cos(y) = 12/13.
Now we can see the relationship: sin(x) = cos(y)
In fact, for any right triangle with angles 90°, α°, and β°, where α and β can be any angle degree that add up to 90, the following relationships are true:
sin(α) = cos(β)
and
sin(β) = cos(α)
You can write the proportion as 2 equal fractions or as two equal ratios.
or 12 pens:$10 = x pens:$15You can buy x pens for 15 dollars. One way to find x is by cross multiplying the fractions.
10x=12×15
10x=180
----- -----
10 10
x=18
You can buy 18 pens for $15.
Answer:
The area of the triangle is 48 unit²
Step-by-step explanation:
The given vertices of the triangle are;
(-2, 5), (-4, -3), and (3, 1)
The formula for finding the area of a triangle with given coordinates of the vertices is as follows;

Substituting gives;

The area of the triangle = 48 unit².
Answer:
2.5 pounds
Step-by-step explanation: