Base is 12 feet square so 12 *12 = 144 square feet
each triangle has base of 12 feet and height of 8 feet
area of triangle = 1/2 x base x height = 1/2 x 12 x 8 = 48 square feet
48 x 4 triangles = 192 square feet
total: 192 + 144 = 336 square feet
Answer:
m<V = 11.2 degrees
Step-by-step explanation:
In ΔUVW, the measure of ∠W=90°, UV = 6.2 feet, and WU = 1.2 feet.
From the triangle;
UV = hypotenuse = 6.2feet
WU = opposite = 1.2feet
Required
m<V
Using the SOH CAH TOA identity
sin m<V = opp/hyp
sin m<V = WU/UV
sin m<V = 1.2/6.2
sin m<V = 0.1936
m<V = arcsin(0.1936)
m<V = 11.16
m<V = 11.2 degrees ((to the nearest tenth of a degree)
Answer: See below
Step-by-step explanation:
a) There is a correlation between the number of employees in the plant and the number of products produced yearly. Specifically, a positive correlation exists because, as we can see on the table, as the number of employees increases, the number of products also increases. And the rate of increase is constant.
b) Let the function be: y = mx + b
When x = 0; y = 120
So:
120 = 0 + c
c = 120
Now the slope:

Therefore, the equation that best fits the data is y = 8x + 120
c) The slope in the function represents the constant rate of change, meaning that as the number of employees increases by 1, the number of products produced monthly increases by 20. While the y-intercept of the plot, which is 120, indicates the constant number of products, that is to say, when there are no employees, there are still 120 products.
Answer:
D
Step-by-step explanation:
The sand makes up a rectangular prism of dimensions 8' by 10' by 0.5'.
The volume of sand is then V = L*W*H, or V = (10')(8')(0.5') = 40 cubic ft.