Answer:
- tan(θ) = 5/3
- sin(θ) = 5√34/34
- sec(θ) = √34/3
Step-by-step explanation:
The hypotenuse is given by the Pythagorean theorem:
h = √(3² +5²) = √34
The trig functions are the ratios of sides:
Tan = Opposite/Adjacent
tan(θ) = 5/3
__
Sin = Opposite/Hypotenuse
sin(θ) = 5/√34 = (5/34)√34
__
Sec = Hypotenuse/Adjacent
sec(θ) = √34/3
Answer:
cos(A) = adjacent side / hypotenuse
= 4/5
Answer:
y =
x - 1
Step-by-step explanation:
5x + 2y = 12
2y = -5x + 12
y =
x + 6
y = mx + b
4 =
( -2 ) + b
4 = 5 + b
b = -1
y =
x - 1
Answer:
Area of triangle ABC = 10
Option C is correct.
Step-by-step explanation:
We need to find area of triangle ABC
We are given A(2,1) B(4,7) and C(6,3)
The formula used to find
ABC is:
In the given triangle base= AC and height = BC
First we need to find the distance between A and C and B and C
The formula used to find distance between AC 
We have 
Putting values and finding distance

find distance between BC 
We have 
Putting values and finding distance

So, We have height =
and base = 
Finding area of triangle

So, Area of triangle ABC = 10
Option C is correct.
It would be 250 in because you see 10x20 is 200 and and 10x10 is 100. But since part of the figure is a triangle you have to dive it by 2 and 100/2=50. 200+50=250
Hope that helps!