Answer:
Hope this helps!
Please see through the steps below
To find the distance between her home and her latest position:
According to the question, the diagram is,
Consider the right triangle,
AB=120 km
BC=50 km
To find AC:
Using Pythagoras theorem,

Hence, the distance between the new position and her home is 130 km.
Answer:
<u>Option D: A cylinder with a circumference of about 50 units</u>
Step-by-step explanation:
The rest of the question is the attached figure.
The square shown has a perimeter of 32 units. The square is rotated about line k. What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr
===================================================
Given: the perimeter of the square = 32
perimeter of a square is four times the length of its side
So, the side length of square = 32/4 = 8 units
The square is rotated about line k.
So, it will form a cylinder with radius 8 units.
Circumference of a circle = 2 π r
Where, r is the radius of the circle.
Circumference of the base is C = 2 π * 8
∴ C = 16π = 16 * 3.14
∴ C = 50.26548 ≈ 50
The shape is created by the rotation is a cylinder with a circumference of about 50 units.
<u>So, the answer option is D.</u>
Answer:
Step-by-step explanation:
The equation of the line WX is, 2x + y = - 5
⇒ y = - 2x - 5 .......... (1)
This equation is in slope-intercept form and the slope is - 2 and the y-intercept is - 5.
Now, if a line perpendicular to equation (1) having slope m then, m × (- 2) = - 1
⇒ 
{Since the product of slopes of two mutually perpendicular straight line is - 1}
Therefore, the equation of the perpendicular line is
, where c is a constant and we have to find it.
This above line passes through the point (-1,-2) and hence

⇒ 
Therefore, the equation of the line will be
(Answer)