We know that the graph of a function is a line that passes through the coordinates (2, 11) and (8, 14) and we must find the equation for the line.
1. We must use the next formula to find the slope
Where (x1, y1) and (x2, y2) are the points.
Now, replacing the points in the formula for the slope
2. We must replace the slope and one of the points in the next formula
Now, replacing the slope and the point (2, 11)
3. We must delete the parenthesis and solve the equation for y
ANSWER:
Answer:
20 in²
Step-by-step explanation:
Assuming that the width of the sign is x, then from the question, we're told that the length is 5 times it's width, so
b = x inches
l = 5x inches
Again, we're told that the perimeter of the sign is 24 inches, and we know already that the perimeter of a rectangle is given as
Perimeter = 2(l + b), substituting this, we have
24 = 2(5x + x)
24 = 10x + 2x
24 = 12x
x = 24 / 12
x = 2 inches.
Since x is the width of the rectangle, and it's 2 inches, we use it to find the length of the sign.
l = 5 * 2
l = 10 inches.
Then, we are asked to find the area of the sign. Area of a rectangle is given as
A = l * b, so if we substitute, we have
Area = 10 * 2
Area = 20 square inches
it is 56
because you need to break the figure into two parts
5 x 4 = 20
4 x 9 = 36
The arrangement of mother's eye level, ground level and playground forms a right angles triangle.
The legs of this triangle are 12.6 m (eye level to ground) and 20 m (building to playground).
Using trigonometry and assuming the depression angle is Ф;
tan Ф = 20/12.6 = 1.5873
Ф = tan ^-1(1.5873) = 57.78°
