Answer:
6. The number is 
7. The two numbers are 
and 
Step-by-step explanation:
Question six can be re-worded to create the following expression:
Solve for x to find the number:
Question seven can be solved by first listing the constraints (assuming x is smaller than y):
- x and y are less than 20
To get the numbers, we can create a system of linear equations. First, solve for 
in each expression:
Solve for 
:
Solve for :
I think we're not supposed to do more than 3 problems in one answer; certainly not five pages. Does the 1/3 mean there are 10 more to come?
I'll do the first page.
6)
Right triangle, opposite side of 10, adjacent side of 21,
tan x = opp/adj = 10/21
x = arctan 10/21 = 25.46°
Answer: 25
7)
cos x = adj / hyp = 10/14
x = arccos 10/14 = 44.42°
Answer: 44
8)
tan x = opp/adj = 12/24 = 1/2
x = arctan 1/2 = 26.57°
Answer: 27
9)
tan x = 31/32
x = arctan 31/32 = 44.09°
Answer: 44
10)
x = arctan 10/27 = 20.32°
Answer: 20
Answer:
978 in^2
Step-by-step explanation:
the area of the rectangle:
24in X 30in = 720 in^2
the area of the two similar triangles:
12 X 9 / 2 + 12 X 9 / 2 = 108 in^2
the area of the last triangle:
20 in X 15 in /2 = 150in^2
.
the total area is the sum of the areas:
720in^2 + 108in^2 + 150in^2 = 978in^2.
The answer is 280 this is your answer
