To the nearest hundredth, what is the value of x?

The answer to your question is x = 37.74

Step-by-step explanation:

Data

Right triangle

hypotenuse = c = 45

angle = 33°

adjacent side = x

Process

To solve this problem use trigonometric functions. The trigonometric function that relates the adjacent side and the hypotenuse is cosine.

               cos Ф = Adjacent side / Hypotenuse

-Solve for Adjacent side

               Adjacent side = hypotenuse x cosФ

-Substitution

               Adjacent side = 45 x cos 33

-Simplification

              Adjacent side = 45 x 0.839

-Result

            Adjacent side = x = 37.74

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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step-by-step explanation: