Find the surface area of this triangular prism! fast
2 answers:
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Answer: The graph is attached.
Step-by-step explanation:
1. Solve for y, as following:
2. The equation of the line in slope intercept form is:
Where m is the slope and b is the y-intercept.
3. In this case the equation of the line is:
then:
4. Find the x-intercept. Make y=0. Then:
5. Then, plot the line that passes through the points (0,7) and (4.9, 0).
6. The symbol of the inequality is < therefore, the line must be dashed and indicates that the region under the line must be shaded.
Then you obtain the graph attached.
Answer:
69.81 sq. m. (rounded to 2 decimal places)
Step-by-step explanation:
The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:
Where
is the central angle
r is the radius
Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:
Also, the radius of the circle shown is 10 meters, so
r = 10
Now, we substitute in formula and find our answer:
Thus,
The area of the shaded sector is 69.81 sq. meters.