What is the area of a trapezoid ABCD with bases
1 answer:
A picture can help you sort this out.
Draw point E on CD so that AE ⊥ CD. Then the distance DE is 8cos(60°) = 4, and the height AE is 8sin(60°) = 4√3. The length of CD is 8+2×4 = 16. The area of the trapezoid is the product of the height and the average base length:
... A = (b1 +b2)/2×h = (8 cm + 16 cm)/2×(4√3 cm) = 48√3 cm² ≈ 83.14 cm²
You might be interested in
Answer:
a
Since the integral has an infinite discontinuity, it is a Type 2 improper integral
b
Since the integral has an infinite interval of integration, it is a Type 1 improper integral
c
Since the integral has an infinite interval of integration, it is a Type 1 improper integral
d
Since the integral has an infinite discontinuity, it is a Type 2 improper integral
Step-by-step explanation:
Considering a
Looking at this we that at x = 3 this integral will be infinitely discontinuous
Considering b
Looking at this integral we see that the interval is between which means that the integral has an infinite interval of integration , hence it is a Type 1 improper integral
Considering c
Looking at this integral we see that the interval is between which means that the integral has an infinite interval of integration , hence it is a Type 1 improper integral
Considering d
Looking at the integral we see that at x = 0 cot (0) will be infinity hence the integral has an infinite discontinuity , so it is a Type 2 improper integral
Answer:
Q matches to a and P matches to b
Step-by-step explanation:
This is a volume question so we can use the volume of a cylinder to see which one corresponds to what. Volume of a cylinder is h. We know that the heights of the cylinders are the same since the diagram says so. We also know pi is the same since thats a constant. The only thing thats different is the radius (as you can see radius of P is bigger than Q). If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q. More volume means more time to fill up. Since Q has less volume, it will take less time to fill up. So now we look at the graph. A shows that the height of water increases at a faster rate than that of B. This is because there is less volume in that container (less volume=less time to fill up). Therefore a matches to Q and therefore b matches to P