The cable should be 50 feet.
If you draw the picture, you will see that you have a right triangle.
Let's just use the Pythagorean Theorem to find the hypotenuse (or cable).
30^2 + 40^2 = c^2
2500 = c^2
50 = c
Answer:
For 
, Leading coefficient is -2, Degree is 2, Constant term is 0
For 
, Leading coefficient is -25, Degree is 2, Constant term is 9
For 
, Leading coefficient is 1, Degree is 5, Constant term is -1
Step-by-step explanation:
Given:
Polynomials:
To find: leading coefficient, constant term and degree
Solution:
Leading coefficient is the coefficient of the variable with the highest power.
Degree is the highest power of the variable.
The term of degree 0 is the constant term of a polynomial.
For ,
Leading coefficient is -2
Degree is 2
Constant term is 0
For
Leading coefficient is -25
Degree is 2
Constant term is 9
For
Leading coefficient is 1
Degree is 5
Constant term is -1
Answer:
(2, - 5 )
Step-by-step explanation:
Given the 2 equations
y = - 3x + 1 → (1)
4x + y = 3 → (2)
Substitute y = - 3x + 1 into (2)
4x - 3x + 1 = 3
x + 1 = 3 ( subtract 1 from both sides )
x = 2
Substitute x = 2 into (1) for corresponding value of y
y = - 3(2) + 1 = - 6 + 1 = - 5
solution is (2, - 5 )
Answer:
The angle is of 600º.
Step-by-step explanation:
Angle of -60:
An anle of -60 is the same as an angle of -60 + 360 = 300º, which is in the fourth quadrant. In the fourth quadrant, just like in the third, the sine is negative.
Equivalent of an angle of 300º in the third quadrant:
The equivalent of an angle of 300º in the third quadrant(between 180 and 270) is given by: 270 - (300 - 270) = 270 - 30 = 240º. That is, they have the same sine.
Angle between 450 and 630:
This is on the second lap of the trigonometric circle, that is, we take the original measures and add 360º(length of a lap). So
240 + 360 = 600º
The angle is of 600º.
