What is the value of the variables? q.4

Sides of Right Angle Triangle

The value of  x is 5*. and y is 10

Step-by-step explanation:

As the base is given 5 cm

According to trigonometry

Tangent of an angle == height / base

Tan(∅) = h / b

Here b=5

And ∅= 60 degree

Therefore , Tan(60) = h / 5

⇒  h = 5* tan(60)

⇒  h=  5*

In the diagram h is denoted by x

Thus the value of x is 5*.

According to trigonometry

cosine of an angle == base / hypotenuse

cos(∅) = b/h

Here b=5

And ∅= 60 degree

Therefore ,

 Cos(60) = 5 / h

h = 5 / cos(60)

h =  5 / (1/2)

Here h is denoted by y

y = 5 * 2 = 10

Thus the value of y is  10

Hence the value of  x is 5*. and y is 10

  21.3

step-by-step explanation:

multiplying the given equation by c/sin(25°), we get

  c = 9/sin(25°) ≈ 21.2958 ≈ 21.3

we assume "c" is the length of ab, the side opposite angle c in triangle abc.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.