The area of figure ABCDEF can be computed as the sum of the areas of trapezoid ACDF and triangle ABC, less the area of trangle DEF.
trapezoid ACDF area = (1/2)(AC +DF)·(CD) = (1/2)(8+5)(6) = 39
triangle ABC area = (1/2)(AC)(2) = 8
triangle DEF area = (1/2)(DF)(2) = 5
Area of ABCDEF = (ACDF area) + (ABC area) - (DEF area) = 39 +8 -5 = 42
The actual area of ABCDEF is 42 square units.
Answer:
The equation for a parabola with vertex at the origin and a directrix at x = 1/48 is 
.
Step-by-step explanation:
As directrix is a vertical line, the parabola must "horizontal" and increasing in the -x direction. Then, the standard equation for such geometric construction centered at (h, k) is:
Where:
, 
- Horizontal and vertical components of the location of vertex with respect to origin, dimensionless.
- Least distance of directrix with respect to vertex, dimensionless.
Since vertex is located at the origin and horizontal coordinate of the directrix, least distance of directrix is positive. That is:
Now, the equation for a parabola with vertex at the origin and a directrix at x = 1/48 is .
Answer:
B
Step-by-step explanation:
it rises 2 and goes to the right once; 2/1 = 2
Answer:
1½ mile
Step-by-step explanation:
Given
3/10 mile = ⅕ hour
Required
Determine the distance in 1 hour
Since rate is constant, we have:
3/10 mile = ⅕ hour
Multiply both sides by 5
5 * 3/10 mile = ⅕ hour * 5
15/10 mile = 5/5 hour
3/2 mile = 1 hour
1½ mile = 1 hour
Hence,the child will walk 1½ mile in 1 hour
Answer:
35.8 deg
Step-by-step explanation:
a/sin A = b/sin B
24/sin x = 39/sin 71.8
sin x = (24 * sin 71.8)/39
sin x = 0.584598
x = sin^-1 0.584598
x = 35.8 deg
