Answer:
<h2>14cm</h2>
Step-by-step explanation:
Given a length of the diagonal of a square modeled by the equation
d = 1.4x^1/2 where x is the area of the square, to find the estimate of the length of the square if area is 100cm², we will substitute x = 100 into the modeled equation to get s as shown;
<em>Hence the length of the diagonal of the square using the modeled equation is 14cm</em>
You correct the answer is 894.09
Let U = {1,2,3,4,5,6,7,8,9,10}, A = {1,3,5,7,9}, B = {2,4,6,8,10} and C = {1,2,3,4} find (i) U' ii) A∩A' iii) A – ( B U C) iv) A
Artyom0805 [142]
Answer:
(i) U' = Φ
(ii) A∩A' = Φ
(iii) A – ( B U C) = {5,7,9}
(iv) A' U ( B U C ) = {2,4,6,8,10}
(v) A' U ( B' ∩ C') = {2,4,5,6,7,8,9,10}
Step-by-step explanation:
Recall that a circle of radius 2 centered at the origin has equation
where the positive root gives the top half of the circle in the x-y plane. The definite integral corresponds to the area of the right half of this top half. Since the area of a circle with radius
is
, it follows that the area of a quarter-circle would be
.
You have
, so the definite integral is equal to
.
Another way to verify this is to actually compute the integral. Let
, so that
. Now
Recall the half-angle identity for cosine:
This means the integral is equivalent to
4 * 45 = 180
265 - 180 = 85
85/5 = 17
They sold 17 rolls of patterned wrapping paper.
