Answer:
cos θ = 4/5.
tan θ = 3/4.
Step-by-step explanation:
Given sin θ = 3/5, we can find the value for the other side of the right triangle.
Using the Pythagorean formula, we can derive the value of this other leg.
5² = 3² + x²
x = 4.
Since sin θ is O/H, the Hypoteneus is 5 and the Opposite side is 3. The Adjacent side is 4, which will be used when finding cos θ and tan θ.
cos θ= A/H --> cos θ = 4/5.
tan θ= O/A --> tan θ = 3/4.
Answer:
x = 20
Step-by-step explanation:
The 3 angles lie on a straight line and sum to 180° , that is
3x + 80 + 2x = 180
5x + 80 = 180 ( subtract 80 from both sides )
5x = 100 ( divide both sides by 5 )
x = 20
400lbs/340ft^2
Factor out largest common factor. LCF is the product of shared primes of the numbers prime factorization.
400=2*2*2*2*5*5, 340=2*2*5*17
So the product of the shared primes is 2*2*5=20, so divide the numerator and denominator by 40.
(400/20)lbs/(340/20)ft^2
20lbs/17ft^2 or if you prefer
(20/17)lbs/ft^2
(1 3/17)lbs/ft^2 or approximately
1.18 lbs/ft^2
Answer:
Y = 2/3X + 4/3
Step-by-step explanation:
(1,2) (4,4)
M = 2/3
Y = 2/3X + b
4 = 8/3 + b
12 = 8 + 3b
4 = 3b
B = 4/3
Y = 2/3X + 4/3
Answer: Infinitely Many Solutions
Step-by-step explanation:
Substitute y into the second equation:
2(-2x-6)=-4x-12
Then you get -4x-12=-4x=-12. Since this is 0=0 it would make it infinitely many solutions.
