Given:
θ = 60°
Opposite side of θ = 6
Adjacent side of θ = x
Hypotenuse = y
To find:
The value of x and y.
Solution:
Using basic trigonometric ratio formula:
The value of tan 60° = √3
Multiply by x on both sides.
Divide by √3 on both sides, we get
Using Pythagoras theorem:
Taking square root on both sides, we get
Therefore, the exact values of x and y are .
For the given system of linear equations to give an infinite number of solutions the value of k should be 2.
<h3>What is a Dependent Consistent System of equations?</h3>
A system of the equation to be a Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
Given the two systems of linear equations,
2x + 3y = 4
(k+ 2)x + 6y = 3k+2
For any system of equations to have infinitely many solutions, the equation of the linear system must be in ratio, so that the lines of the equations overlap each other. Therefore, the ratio for the two of the given equations can be written as,
2/(k+2) = 3/6 = 4/(3k+2)
Solving the ratio to get the value of k,
2/(k+2) = 3/6
2/(k+2) = 1/2
2 × 2 = 1 × (k+2)
4 = k + 2
4 - 2 = k
k = 2
Hence, for the given system of linear equations to give an infinite number of solutions the value of k should be 2.
Learn more about the System of equation here:
brainly.com/question/12895249
#SPJ1
Answer: 2,343.3333 repeating, or just 2,343 1/3
Step-by-step explanation:
If you divide, your answer comes out to be 2,343.3333 repeating or 2,343 1/3.
I think the answer would be 1/10
Here's my work:
Answer:
$106.75
Step-by-step explanation:
Since the cost of a gallon of oil cost $3.05, we are going to have the equation y = 3.05x, where x represents the number of gallons of oil.
Since the Changs have 35 gallons of oil, the equation would be;
3.05(35) = 106.75
The Changs paid $106.75 for the delivery.