Answer:
90⁰
Step-by-step explanation:
y=cosx
y'= -sinx
eqñ of tangent is y=-x
slope of tangent =-1
we know...
slope of tangent = y' or derivative of y
-sin x = -1
sin x= 1
x = 90⁰
The first thing to do in this case is to draw the ordered pairs in the Cartesian plane and join the points.
We have then that the resulting figure is a rectangle.
We must find the perimeter of the rectangle that is given by:
P = 2L + 2W
Where,
L: long
W: width
Restoring the values:
P = 2 * (5) + 2 * (3)
P = 16
Answer: her route cover 16 miles.
The volume of a box is the amount of space in the box
The dimensions that minimize the cost of the box is 4 in by 4 in by 4 in
<h3>How to determine the dimensions that minimize the cost</h3>
The dimensions of the box are:
Width = x
Depth = y
So, the volume (V) is:

The volume is given as 64 cubic inches.
So, we have:

Make y the subject

The surface area of the box is calculated as:

The cost is:
--- the base is twice as expensive as the sides
Substitute 


Differentiate

Set to 0

Multiply through by x^2

Divide through by 4

Add 64 to both sides

Take the cube roots of both sides

Recall that:

So, we have:


Hence, the dimensions that minimize the cost of the box is 4 in by 4 in by 4 in
Read more about volume at:
brainly.com/question/1972490
The answer is D because all sides are equal and it’s a equilateral triangle
<em> </em><em>Ans</em><em> </em><em>is</em><em> </em><em>in</em><em> </em><em>attached</em><em> </em><em>picture</em><em>.</em>
<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em> </em><em>hai</em><em>.</em><em> </em><em> </em><em>dai</em><em>.</em><em>.</em><em>.</em><em>.</em>