Answer: x^2 + y^2 -10y = 0
Step-by-step explanation:
Cartesian coordinates, also called the Rectangular coordinates, isdefined in terms of x and y. So, for the problem θ has to be eliminated or converted using basic foundations that are described by the unit circle and the right triangle trigonometry.
r= 10sin(θ)
Remember that:
x= r × cos(θ)
y= r × sin(θ)
r^2= x^2 + y^2
Multiply both sides of the equation by r. This will give:
r × r = 10r × sin(θ)
r^2 = 10r × sin(θ)
x^2 + y^2= 10r × sin(θ)
Because y= r × sin(θ), we can make a substitution. This will be:
x^2 + y^2= 10y
x^2 + y^2 -10y = 0
The above equation is the Rectangular coordinate equivalent to the given equation.
Answer:
The correct option is A
The missing number is 34
Explanation:
By inspection, the third number is obtained by adding the two preceding numbers.
1 + 1 = 2
The next number is obtained by adding the two preceding numbers.
2 + 1 = 3
This continues as:
3 + 2 = 5
8 + 5 = 13
13 + 8 = 21
21 + 13 = 34
Answer:
sum of interior angle of a triangle is 180 degree
so,
3x +7 + 2x+7 +3x+6 = 180
8x + 20 = 180
8x = 180 - 20
8x = 160
x = 160/ 8
x = 20
May it will help you
Answer:
4
Step-by-step explanation:
Answer: a plumber earns $50 each day and a helper earns $30 each day.
Step-by-step explanation:
Let x represent the amount that a plumber earns in a day.
Let y represent the amount that a helper earns in a day.
One day, four plumbers and five helpers earned $350. This means that
4x + 5y = 350 - - - - - - - - - - -1
At the same rate of pay, another group of five plumbers and six helpers earned $430. This means that
5x + 6y = 430 - - - - - - - - - - - - 2
Multiplying equation 1 by 5 and equation 2 by 4, it becomes
20x + 25y = 1750
20x + 24y = 1720
Subtracting, it becomes
y = 30
Substituting y = 30 into equation 1, it becomes
4x + 5 × 30 = 350
4x + 150 = 350
4x = 350 - 150
4x = 200
x = 200/4 = 50
