What is the value of x in this triangle?

enter your answer as a decimal in the box. round only your final answer to the nearest hundredth.

33.49

Step-by-step explanation:

Given in the picture is a triangle with sides as 32 as one leg and 58 as hypotenuse

The angle opposite side 32 is x.

Since it is a right triangle, we have

sine of the angle = opposite side/hypotenuse

i.e. sin x =

Take both sides sin inverse

x = sin inverse of 0.5517

=33.49

step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.