Answer:
807.8 in^2
Step-by-step explanation:
The total area of the box is the sum of the areas of all faces of the box. The top, bottom, front, and back faces are rectangles 18 in long. The end faces each consist of a rectangle and a triangle. We can compute the sum of these like this:
The areas of top, bottom, front, and back add up to be 18 inches wide by the length that is the perimeter of the end: 2·5in +2·8 in + 9.6 in = 35.8 in. That lateral area is ...
(18 in)(35.6 in) = 640.8 in^2
The area of the triangle on each end is equivalent to the area of a rectangle half as high, so we can compute the area of each end as ...
(9.6 in)(8.7 in) = 83.52 in^2
Then the total area is the lateral area plus the area of the two ends:
640.8 in^2 + 2·83.52 in^2 = 807.84 in^2 ≈ 807.8 in^2
Answer:
B. x² - 13x + 42
Step-by-step explanation:
Answer:
5.5 days (rounded up)
Step-by-step explanation:
500/91
Pi/3 is equivalent to 60 degrees, as 2pi is equal to 360 degrees. cos(60) in a triangle yields 1/2, and sin(60) yields (3^(1/2))/2. Thus, -pi/3, or -60 degrees would be a fourth quadrant point on the unit circle and these values would be negative as well, at cos(-pi/3)=-1/2 and sin(-pi/3)=-(3^(1/2))/2
Answer:
Using the point-slope form:
The equation of the line is given by:
.....[1] where
m is the slope of the line and
is the point on the line.
As per the statement:
Given: Two points i,e (34, 76) and (42, 91)
First calculate slope(m):
Slope is given by:

Substitute the given values we have;

Now, substitute the value of m and (34, 76) in [1] we have;
Using distributive property: 
Add 76 to both sides we get;
Therefore, the equation of the trend line is: