56.1, 56.011, 56.01......................
Answer:
triangle; area = 90 ft2
Step-by-step explanation:
THe type of two dimensional solid created by a vertical cross section of the cone that passes through the apex is a triangle, as you can see in the picture, if you draw a line that cuts the cone in half passing through the apex it would just be a triangle, and the area of the cross section is given by the formula:
Since you have the radius of the base of the cone, you need the diameter to calculate the area, the diameter is given by the next formula:
Now you just put your values into the formula of the triangle:
So the area of the triangle formed is:
#5 is 96 because it is congruent to the one on top
Answer:
No, because 6² + 8² ≠ 12²
Step-by-step explanation:
In a right angled triangle,
Perpendicular² + Base² = Hypotenuse² (pythagoras theorem)
But in the given triangle; 6² + 8² ≠ 12²
36 + 64 ≠ 144
100 ≠ 144
Perpendicular² + base² ≠ hypotenuse²
Thus the given triangle is not right angled.
Answer:
Domain: [-2, 0)U(0, positive infinity)
Range: (negative infinity, -2)U(0, -2]
Step-by-step explanation:
Domain is the set of x-values that can be plugged in to get an output in a graph. In this case, no number lower than -2 can be used, so your domain has to be x ≥ -2. We also have a hole at our y-intercept that can't be used, so we have to include that in our answer as well using a union.
Range is the set of y-values that can be outputted by <em>x</em> in the graph. Since x ≥ -2, we know the output of -2 is 0, so no value goes above 0 as the graph is infinitely decreasing. We also have to address the hole issue in the range just like in the domain.