Answer:
The values of sin θ and cos θ represent the legs of a right triangle with a hypotenuse of 1; therefore, solving for cos θ finds the unknown leg, and then all other trigonometric values can be found.
Answer:
36
Step-by-step explanation:
Compare what you have to the square ...
(a +b)^2 = a^2 +2ab +b^2
Your "a" is √(25x^2) = 5x
Your "2ab" is -60x. Since you know "a", you can find "b".
2ab = -60x
2(5x)b = -60x . . . . . . . substitute for "a"
b = -60x/(10x) = -6
Then the missing term is b^2 = (-6)^2 = 36.
Your trinomial is ...
25x^2 -60x +<u>36</u>
Answer:
6 511 104 in³
Step-by-step explanation:
Since we have 1 crate and 8 boxes fit into one crate.
So, volume of one crate, V' = 8 × volume of 1 box, V
Since the box is a rectangular prism of sides 2512 inches high, 18 inches long, and 18 inches wide, its volume, V = lwh where l = length of prism, h = height of prism and w = width of prism.
So, V = lwh = 18 in × 18 in × 2512 in = 813 888 in³
So, V' = 8 × 813 888 in³ = 6 511 104 in³
So, the minimum volume of the crate is 6 511 104 in³
Answer: 2 5/8 miles
Step-by-step explanation:
Because 6 1/8 - 3 1/2 = 2 5/8, Alice and Enrique will have 2 5/8 miles left to jog after their break.
Hope it helps :)