Answer:
(a) 0.4
(b) a = 3
Step-by-step explanation:
(a) The area under the curve from x=4 to x=6 is 0.2 units high and 2 units wide, so is 0.2·2 = 0.4. (The area of a rectangle is the product of length and width.)
(b) The area is 0.2 and the height of the curve is 0.2, so the width of the region of concern is 0.2/0.2 = 1. (Again, area = height·width, or width = area/height.) 1 unit from the left end is found at X=3, so a = 3.
Answer: n/5 - 10 = 18: this would be the equation. Your answer would be 140.
Step-by-step explanation: Let consider the number as ‘X’
Quotient of a number and 5 can be written as
X divided by 5
Ten subtracted from the quotient of a number and 5 can be written as
(X divided by 5)-10
Ten subtracted from the quotient of a number and 5 is 18 can be written as
(X divided by 5)-10=18
By solving the above equation, find ‘X’
(X divided by 5) = 18 + 10
X/5=28
X = 28 x 5 = 140
The identity in question is
cos(a - b) = cos(a) cos(b) + sin(a) sin(b)
so that
cos(a - b) = 12/37 cos(a) + 3/5 sin(b)
Since both a and b lie in the first quadrant, both cos(a) and sin(b) will be positive. Then it follows from the Pythagorean identity,
cos²(x) + sin²(x) = 1,
that
cos(a) = √(1 - sin²(a)) = 4/5
and
sin(b) = √(1 - cos²(b)) = 35/37
So,
cos(a - b) = 12/37 • 4/5 + 3/5 • 35/37 = 153/185
