Given:
x lies in the III quadrant.
To find:
The values of .
Solution:
It is given that x lies in the III quadrant. It means only tan and cot are positive and others are negative.
We know that,
x lies in the III quadrant. So,
Now,
And,
We know that,
Therefore, the required values are .
Answer:
Angle 1 = 40
Step-by-step explanation:
Angle 1 and Angle 2 are alternate angles. So,
2x + 20 = 3x + 10
3x - 2x = 20 - 10
x = 10
Angle 1 = 2x + 20 = 2 x 10 + 20 = 40
Answer:
D (0, 2)
General Formulas and Concepts:
<u>Algebra I</u>
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
y = 3/4x + 2
<u>Step 2: Break Function</u>
<em>Identify Parts</em>
Slope <em>m</em> = 3/4
y-intercept <em>b</em> = 2
Answer:
Step-by-step explanation:
In an isosceles trapezoid, the opposite sides are equal.
The formula for determining the area of a trapezoid is expressed as
Area = 1/2(a + b)h
Where
a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.
h represents the height of the trapezoid.
From the information given,
a = 6
b = 8
height = 16
Therefore,
Area of trapezoid = 1/2(6 + 8)16
= 1/2 × 14 × 16 = 112 square units
any multiple of 12
Since 2, 3 and 4 divide exactly into the number of rocks
We are looking for the common multiples of 2, 3 and 4
2 × 3 × 4 = 24 is possible but dividing by 2 gives 12 the lowest common multiple
Any multiple of 12 gives a possible number of rocks.