
(Divide then multiply by 100 and you get your answer)
- - Answer: 70%
Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Part 5) 
Part 6) 
Step-by-step explanation:
Part 1) we know that
The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle
The area of rectangle is equal to

where
b is the base of rectangle
h is the height of rectangle
so



Part 2) we know that
The shaded region is equal to the area of the complete rectangle minus the area of the interior square
The area of square is equal to

where
b is the length side of the square
so



Part 3) we know that
The area of the shaded region is equal to the area of four rectangles plus the area of one square
so



Part 4) we know that
The shaded region is equal to the area of the complete square minus the area of the interior square
so



Part 5) we know that
The area of the shaded region is equal to the area of triangle minus the area of rectangle
The area of triangle is equal to

where
b is the base of triangle
h is the height of triangle
so



Part 6) we know that
The area of the shaded region is equal to the area of the circle minus the area of rectangle
The area of the circle is equal to

where
r is the radius of the circle
so


Answer:
x = B. 18 ROOT 2/ROOT 3
Step-by-step explanation:
There are two Triangles in the diagram above.
Step 1
We would solve for Triangle A First
Using Trigonometric function Cosine
cos θ = adjacent /hypotenuse
θ = 30°
Adjacent = 9 units
Hypotenuse = unknown
cos 30= 9/ Hypothenuse
Cross Multiply
cos 30 × Hypotenuse = 9
Hypotenuse = 9 / cos 30
cos 30 in surd form = √3/2
Hypotenuse = 9/√3/2
Hypotenuse = 9 × 2/√3
= 18/√3 units
Step 2
We would solve for the upper triangle = Triangle B
We are looking for x
θ = 45°
For Triangle B, the Hypotenuse we solved for in Triangle A is equivalent to the adjacent in Triangle B
Therefore ,
Hypotenuse for Triangle A = Adjacent side for Triangle B
θ = 45°
Adjacent = 18/√3 units
Hypotenuse = x = unknown
We would solve for this using Trigonometric function cosine
cos 45 = 18/√3 units / Hypothenuse
Cross Multiply
cos 45 × Hypotenuse = 18/√3 units
Hypotenuse = 18/√3 units / cos 45
cos 45 in surd form = 1/√2
Subtituting, we have
Hypotenuse (x) = 18/√3 units / 1/√2
Hypotenuse (x) = 18/√3 units ×√2/1
= 18× √2/ √3 units
= 18 √2/√3 units
Therefore x = Option B. 18 ROOT 2/ROOT 3
Answer:
The slope of the new road is 0.
Step-by-step explanation:
- the slope of d street line is tan(90)
[if the angle made by a line with x axis is
then, the slope of that line will be tan(
) ]
- here, the angle made by the d street line with x axis is 90 degrees.
- if a road is to be built which is perpendicular to d street , it should make 0 degrees i.e, it should be parallel to x axis .
- so, the slope of new road will be tan(0) = 0