Answer:
See below.
Step-by-step explanation:
(a)
To multiply two polynomials, multiply every term of the first polynomial by every term of the second polynomial. Then combine like terms.




(b)
No. Since the binomials are different, the product of two different binomials and the same trinomial will give different results.
Answer:
53.33 meters
Step-by-step explanation:
Let AB represents the height of the cliff,
( where, A is top and B is bottom ),
Also, C and D represents the shadow of the cloud and cloud in the sky respectively,
Suppose E is a point in the segment CD,
Such that,
AB = DE = 40 meters,
According to the question,


Since,




Now,



Hence,
The height of the cloud above the lake = CE + ED

We assume the composite figure is a cone of radius 10 inches and slant height 15 inches set atop a hemisphere of radius 10 inches.
The formula for the volume of a cone makes use of the height of the apex above the base, so we need to use the Pythagorean theorem to find that.
h = √((15 in)² - (10 in)²) = √115 in
The volume of the conical part of the figure is then
V = (1/3)Bh = (1/3)(π×(10 in)²×(√115 in) = (100π√115)/3 in³ ≈ 1122.994 in³
The volume of the hemispherical part of the figure is given by
V = (2/3)π×r³ = (2/3)π×(10 in)³ = 2000π/3 in³ ≈ 2094.395 in³
Then the total volume of the figure is
V = (volume of conical part) + (volume of hemispherical part)
V = (100π√115)/3 in³ + 2000π/3 in³
V = (100π/3)(20 + √115) in³
V ≈ 3217.39 in³