Answer:
27.73 cm squared
Step-by-step explanation:
In order to find the shaded region, we need to find the areas of the circle and the rectangle and then subtract the circle area from the rectangle area.
The area of a rectangle is denoted by: A = lw, where l is the length and w is the width. Here, the length is l = 7 and the width is w = 8. Plug these in:
A = lw
A = 7 * 8 = 56 cm squared
The area of a circle is denoted by: A = πr², where r is the radius. Here, the radius is r = 3, so plug this in:
A = πr²
A = π * 3² = 9π ≈ 28.27 cm squared
Now subtract 28.27 from 56:
56 - 28.27 = 27.73
The answer is thus 27.73 cm squared.
Answer:
1. In the multiplication of the imaginary parts, the student forgot to square of i. OR
2. The student has only multiplied the real parts and the imaginary parts.
Correct value 
.
Step-by-step explanation:
The given expression is
A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i.
Student's mistake can be either 1 or second:
1. In the multiplication of the imaginary parts, the student forgot to square of i.
2. The student has only multiplied the real parts and the imaginary parts.
Which is not correct. The correct steps are shown below.
Using distributive property, we get
![[\because i^2=-1]](https://tex.z-dn.net/?f=%5B%5Cbecause%20i%5E2%3D-1%5D)
Therefore, the correct value of is .
Write a system of equations:
x + y = 125
20x + 15y = 2100
Solving:
x = 125 - y
20(125 - y) + 15y = 2100
2500 - 20y + 15y = 2100
2500 - 5y = 2100
-5y = 2100 - 2500
-5y = -400
y=80
x + 80 = 125
x = 125 - 80
x = 45
The first charges 45$ per hour and the second charges 80$ per hour
Go to where 30 degrees is on the unit circle and find the y-coordinate. That is sin30.
