Answer:
Step-by-step explanation:
In a 30-60-90 triangle, the ratio of the lengths of the angles' opposite sides are <em>1-√3-2</em>.
If the long leg is 8, then the short one is 8/√3, or <em>8√3/3</em>.
Therefore, the hypotenuse, which is <em>double the short leg</em>, is 16√3/3.
6 is the anwser to ur question
A straight line needs two pieces of information to be identified, a gradient and a y-intercept (technically any point will do but the y-intercept is particularly convenient if we have it).
The gradient is calculated by taking two points on the line, and dividing the change in y-coordinate by the change in x-coordinate between them. I'm going to take the points (0,-3) and (2,-2).
The change in y-coordinate is (-2) - (-3) = 1
The change in x-coordinate is (2) - (0) = 2.
Gradient = m = 1/2
Next we identify the y-intercept, the value of y when x = 0. This value is -3, and we call it c.
The equation of a line in slope-intercept form is y = mx + c. Slotting in the values for m and c we have ascertained, we find that the equation of this line is:
y = (1/2)x - 3
I hope this helps :)
We have to find the quotient :
( 4 x³ y + 12 x² y³ - 20 x y ) / ( 4 x y ) =
= 4 x y ( x² + 3 x y² - 5 ) / ( 4 x y ) = ( Then 4 x y will be cancelled )
= x² + 3 x y² - 5
Answer:
D ) x² + 3 x y² - 5
Answer: 2.5%
Step-by-step explanation:
From the question, we are informed that John borrowed $20,000 from Beth and that he pays $500 per month in interest.
The percentage interest rate would be calculated thus:
= Amount paid as interest / Amount borrowed × 100
= 500/20000 × 100
= 2.5%
