Answer:
30 square inch
Step-by-step explanation:

Answer:

Step-by-step explanation:
<u><em>The options of the question are</em></u>
2(x − 1)2 = 4
2(x − 1)2 = −4
2(x − 2)2 = 4
2(x − 2)2 = −4
we have

This is a vertical parabola open upward
The vertex represent the minimum value
The quadratic equation in vertex form is

where
a is a coefficient
(h,k) is the vertex
so
Convert the quadratic equation in vertex form
Factor 2 leading coefficient

Complete the squares


Rewrite as perfect squares

The vertex is the point (1,-4)
Move the constant to the right side

Let us find the area of the triangle first.
6 x 8 / 2 = 24 ft²
Now we can do the semi circle. Note that it is a semi circle and not a circle.
1/2π(4²) = 8π = 25.12 ft²
Add the areas up to find the area for the figure.
24+25.12 = 49.12 ft²
Vsphere=(4/3)pir³
d/2=r
d=6.2
6.2/2=r=3.1
vsphere=(4/3)pi3.1³
vsphere=(4/3)pi29.791
Vsphere=124.72498666666666666666666666667
answer is 124.72498666666666666666666666667 cubic feet
or rounded to neares whole, 125 square feet
Answer:
x = 40
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Consider the triangle on the left and calculate the third angle
Subtract the sum of the 2 angles from 180
third angle = 180° - (75 + 50)° = 180° - 125° = 55°
Consider the triangle on the right
The third angle = 55° ( vertical angles )
Subtract the sum of the 2 angles from 180
x = 180 - (55 + 85) = 180 - 140 = 40