Answer:
m<X =
Step-by-step explanation:
From the given isosceles triangle, we have;
<W and <V as the base angles
So that,
m<W = m<V = 27 (base angles of an isosceles triangle are equal)
Thus,
m<X + m<V + m<W = 180 (sum of angles in a triangle)
m<X + 27 + 27 = 180
m<X + 54 = 180
m<X = 180 - 54
= 126
m<X =
Answer: 3 mi/h
Step-by-step explanation:
Here we have to find the speed at which Sarah walks to school, knowing the distance
she has walked and the time
she expends.
So, in this case we can use the following equation:
Where:
Solving:
This is Sarah's speed
Answer:
<u><em>Dimension of box:-</em></u>
Side of square base = 10 in
Height of box = 5 in
Minimum Surface area, S = 300 in²
Step-by-step explanation:
An open box with a square base is to have a volume of 500 cubic inches.
Let side of the base be x and height of the box is y
Volume of box = area of base × height
Therefore,
It is open box. The surface area of box, S .
Put
This would be rational function of surface area.
For maximum/minimum to differentiate S(x)
For critical point, S'(x)=0
Put x = 10 into
y = 5
Double derivative of S(x)
at x = 10
Therefore, Surface is minimum at x = 10 inches
Minimum Surface area, S = 300 in²