To get a coterminal angle we either add or subtract multiples of 360.
For this case a multiple of 360 is 1440, because 360 * 4 = 1440.
So the option that would be coterminal of 425 degrees =
425° + (1440n)° for any integer of n
The area of the shape is 12 square units
<h3>Area of a trapezium</h3>
The given shape is a trapezium and the formula for calculating the area of a trapezium is expressed as:
A = 0.5(a+b)h
Given the following parameters
a = 2
b = 10
h = 2
Substituting the given parameters
A = 0.5(2+10)*2
A = 0.2(12) * 2
A = 12 square units
Hence the area of the shape is 12 square units
Learn more on area of trapezium here: brainly.com/question/16904048
Answer:
Step-by-step explanation:
Given
We know that trigonometric ratio as
- sin Ф = opposite/hypotenuse
- cos Ф = adjacent/hypotenuse
- tan Ф = opposite/adjacent
as
sin A = sin 40 = opposite/hypotenuse
From the diagram, it is clear that the opposite of angle A is a=8 and the hypotenuse is 'c'.
also the angle
sin A = sin 40 = opposite/hypotenuse = a/c = 8/c
sin 40 = 8/c
c = 8/sin 40
c = 8/0.745
c = 10.7
so the value of c will be: 10.7 units
so
tan B = opposite/adjacent
= b/a
= 0.9
Therefore, the value of B = 
As the sum of the angles of triangle ABC is 180.
i.e.
A+B+C = 180
(40)° + (42)° + C = 180°
C = 180° - 40° - 42°
= 98°
Therefore, the value of C = 98°
Hence,
Answer:
slope: 4
y-intercept: 2
Step-by-step explanation:
We are given an equation, y = 4x + 2, and we are asked to find the slope and y-intercept of the line. Looking carefully, we can see that the equation is given to us in slope-intercept form.
Slope-intercept form is:
y = mx + b
where m is the slope and b is the by-intercept.
Knowing this, we can find that 4 is the slope of the line and 2 is the y-intercept.
I hope you find my answer and explanation to be helpful. Happy studying.
