Answer:
( cos40° + isin40°)
Step-by-step explanation:
To divide

=
[ cos(x₁ - x₂) + isin(x₁ - x₂)
Given

=
( cos(90 - 50)° + isin(90 - 50)°
=
( cos40° + isin40° )
Answer:
There are 178 more boys in Barlow school as compared to Willow school.
Step-by-step explanation:
We are given the following in the question:
Barlow school:
Total number of students = 873
Number of boys =

Willow school:
Total number of students = 630
Number of girls =

Number of boys =
Total number of students - total number of girls

Thus, Barlow school has greater number of boys than Willow school.
Difference between the number of boys =

Thus, there are 178 more boys in Barlow school as compared to Willow school.
Answer:
Step-by-step explanation:
- cotx cos x - cot x = 0
- cotx( cosx - 1) = 0
1. <u>cotx = 0</u>
- x = π/2 + πn
- In the interval [0, 2π] we have π/2 and 3π/2
2. <u>cosx = 1</u>
- x = 0 + 2πn
- In the given interval we have 0 and 2π
<u>So the solution set is:</u>
Answer:
A) 2f / hour
B) 10 f
Step-by-step explanation:
outside temperature decreases by ; 7 F in 3 1/2 hours
a ) represent temperature change as a unit rate
To do this you will need to represent the temperature change per hour
7 f / 3.5 hours
= 7 f / 3.5 = 2 therefore the temperature change as a unit rate = 2f / hour
b) Temperature change after 5 hours
Δ temperature in 5 hours = temperature change per hour * 5
= 2 F * 5 = 10 F
Answer:
x = 135 degrees
Step-by-step explanation:
For any simple n-gon, the sum of the interior angles is 180(n − 2) degrees. (n is the number of vertices)
180(6-2)=180(4)=720
the shape already has 2 90-degree angles, subtract both of those from total interior angle sum
720-90-90=540
the 4 angles left must make up 540 degrees
540/4=135
x=135 degrees