Answer:
<u>Question 11:</u>
<u>Question 12:</u>
, 
, 
and 
<u>Question 13: </u>
AC and BD are perpendicular lines, and they are diagonals
Step-by-step explanation:
<u>Question 11</u>
Given
See attachment for Rhombus
Required
Determine the indicated sides
Solving (a): 
Diagonal CA divides 
into 2 equal angles
i.e
So:
Solving (b): 
The angles at E is 90 degrees because diagonals AC and BD meet at a perpendicular.
So:
Solving (c): 
First, we calculate 
, considering 
:
To calculate , we have:
Solving (d): 
From the rhombus
Where
So:
Solving (e): 
To do this we consider
Using the tan formula
and
So:
Solving (f): 
This is calculated as:
Where
<u>Question 12: Isosceles Triangle</u>
In the rhombus, all 4 sides are equal;
So, the isosceles triangle are:
, , and
<u>Question 13: </u>
AC and BD are perpendicular lines, and they are diagonals
This is in the lower right corner and is a right triangle. So we use the Area calculation of a right triangle.
<u>ab</u> = <u>(4)(2)</u> The height is given as 4 in and we know the base is 2 in
2 2 We know this because the top right distance is given as 2
8 / 2 = 4 square inches
what kind of car is this ?
By using Euler's notation, we will see that:
z^7 = 78,125*e^(-i*4.48)
<h3>
How to get z^7?</h3>
We know that:
z = 4 - 3i
Remember that for a complex number:
w = a + bi
In Euler's notation, we can write this as:
w = √(a^2 + b^2)*e^(i*Atan(b/a))
Then, for z, we will get:
z = √(4^2 + (-3)^2)*e^(i*Atan(-3/4))
z = 5*e^(-i*0.64)
Now, if we apply an exponent of 7 to this number, we will get:
z^7 = ( 5*e^(-i*0.64))^7
z^7 = 5^7*e^(-i*7*0.64) = 78,125*e^(-i*4.48)
If you want to learn more about complex numbers, you can read:
brainly.com/question/10662770
The answer is 570$
10% of 800 is 80 + 150$ is 230
800-230=570
