Double angle identity for cosine:
By the Pythagorean theorem, if
, it follows that
:
where we take the positive root because
, and
is non-negative throughout this domain.
So we have
Answer:
(f•g)(3) = -7
Step-by-step explanation:
f(x)=-2x + 7
g(x) = x^2 – 2
(f•g)(3) = -2(x² - 2) + 7
(f•g)(3) = -2x² + 4 +7
(f•g)(3) = -2x² + 11
(f•g)(3) = -2(3)² + 11
(f•g)(3) = -2(9) + 11
(f•g)(3) = -18 + 11
(f•g)(3) = -7
Answer:
Option (C)
Step-by-step explanation:
From the map attached,
Area of the rectangular yard = length × width
Length of the yard = 10 units
Width of the yard = 8 units
Area = 10 × 8
= 80 square yards
Since, pool is a composite figure of two rectangles,
Therefore, area of the pool = Area of large segment + Area of the small pool
= (5 × 6) + (3 × 3)
= 30 + 9
= 39 square units
Ratio of Area of the pool and area of yard = 
Therefore, Option (C) will be the answer.
Answer:
A because 12 x 2.25 is 54 and thats the price for 2 sozen
