Answer:
Area of trapezoid:
12 + 6<-- your two bases of the trapezoid = 18
18 x 4 = 72, 72 divided by 2 = 36
now we multiply by 2 since there are 2 trapezoids:
36 x 2 = 72
Area of rectangle in front:
6 x 3 = 18
Area of the 2 rectangles on the sides:
5 x 3 = 15
(multiply by 2 since there are two rectangles on both sides)
15 x 2 = 30
Area of rectangle on the back:
12 x 3 = 36
Now lets add up all the areas:
72 + 18 + 30 + 36 = 156 in2 is your answer.
The question given here has two parts and each part has to be answered separately. In case of both the multiplications, the answer might look to be huge but by applying a simple technique, anybody can do these multiplications without the help of any calculator.
Now let us take the case of first multiplication that is given:
50000 * 700
= 35000000
In this case all the zeroes present has to be written first and then 7 and 5 should be multiplied and put. This will get the answer easily.
Now we take the second multiplication given:
100 * 123478
= 12347800
In this case also the zeroes are simply put on the right side of the number 123478.
Let f(x) = p(x)/q(x), where p and q are polynomials and reduced to lowest terms. (If p and q have a common factor, then they contribute removable discontinuities ('holes').)
Write this in cases:
(i) If deg p(x) ≤ deg q(x), then f(x) is a proper rational function, and lim(x→ ±∞) f(x) = constant.
If deg p(x) < deg q(x), then these limits equal 0, thus yielding the horizontal asymptote y = 0.
If deg p(x) = deg q(x), then these limits equal a/b, where a and b are the leading coefficients of p(x) and q(x), respectively. Hence, we have the horizontal asymptote y = a/b.
Note that there are no obliques asymptotes in this case. ------------- (ii) If deg p(x) > deg q(x), then f(x) is an improper rational function.
By long division, we can write f(x) = g(x) + r(x)/q(x), where g(x) and r(x) are polynomials and deg r(x) < deg q(x).
As in (i), note that lim(x→ ±∞) [f(x) - g(x)] = lim(x→ ±∞) r(x)/q(x) = 0. Hence, y = g(x) is an asymptote. (In particular, if deg g(x) = 1, then this is an oblique asymptote.)
This time, note that there are no horizontal asymptotes. ------------------ In summary, the degrees of p(x) and q(x) control which kind of asymptote we have.
I hope this helps!
1837440 inches are in 29 miles
<span>c. 4.6
21 X .22= 4.6
Calculating the variance requires finding the product of 21 and 22%. To make this easier we convert 22% into it's decimal form and construct the equation. To back check this answer we can use 10% of 21 voters which equals 2.1% then double that amount to reach 4.2%, knowing that we now have a close approximation of the variance we can eliminate answers a, b, and d, leaving c as the only logical choice.</span>
