The mayor ordered 4,200 Christmas ornaments to put on 35 trees. How many ornaments will be placed on each tree, if he divides the ornaments
evenly amongst all the trees?
Your answer

120

Step-by-step explanation:

If you divide 4,200 by 35 it equals 120. Which is what is gonna be on each tree!

The answer is below

Step-by-step explanation:

Trigonometric identities are ratios used to show the relationship between the sides and angles in a right angled triangle. Some trigonometric identities are:

sinθ = opposite / hypotenuse; cosθ = adjacent / hypotenuse; tanθ = opposite / adjacent

From the image, let a be the hypotenuse, hence:

a² = 15² + 8²

a² = 225 + 64

a² = 289

a = 17

From the triangle:

90 + x + y = 180 (sum of angle in a triangle)

x + y = 90

It is stated that for a right angled triangle, if x + y = 90 (complementary angles) then:

sinx = cosy

To prove:

sinx = 8/17; cosy = 8/17. Hence:

sinx = cosy