Answer:

Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
The sine ratio relates the opposite side of an angle of the triangle with the hypotenuse:

Here, the opposite leg to angle B is the side CA=2, and the hypotenuse is the side AB=3, thus:

Calculating the inverse sine function:


Answer: how many hours is she working
Step-by-step explanation:
De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.
For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes
[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))]
it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
and that is the answer.
For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)
[2^6(cos(40*6))+isin(40*6)],
[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)
And the answer is -32 -32 √3 i
Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i
Answer:
The volume of the right rectangular prism is 5400 cubic centimeter.
Step-by-step explanation:
Given : The length of the prism is 45 cm, the width is 12 cm, and the height is 10 cm.
To find : The volume of a right rectangular prism ?
Solution :
The formula used is 
Where, l is the length of the prism l=45 cm
w is the width of the prism w=12 cm
h is the height of the prism h=10 cm
Substitute the value in the formula,


Therefore, The volume of the right rectangular prism is 5400 cubic centimeter.
Answer:
165.2
Step-by-step explanation:
7%x4=28
28 percent of 590 = <u>165.2</u>