We can proceed in solving the problem since all information are given such as 2*4*5costheta.
we have a=4, b=5, and C=theta
let us solve for "c" using Pythagorean
c²=a²+b²
c²=4²+5²
c=6.4
Solving for theta or C
c²=a²+b²-2abcosC
6.4²=4²+5²-2*4*5*cosC
C=90
Yuck, trig. I'm doing college trig at this very moment.
the top half (1+(2sinθ)cosθ)=1+sin(2θ)
because 2sinθcosθ=sin(2θ) is an identity

Using polynomial division your answer becomes:
(csc θ)(sec θ)+2
A reference angle is always between 0-90. so 360-295=65deg.
<span>Hints: </span>
<span>Quadrant I angle: reference angle is same as given angle. </span>
<span>Quad II: subtract angle from 180 </span>
<span>Quadrant III: subtract 180 from angle </span>
<span>Quad IV: subtract angle from 360.</span>
Answer:
D.648 inches
Step-by-step explanation:
A yard is a unit that mostly used in America and Canadia to measure the length of something field-size, so it's used a lot in sport. One yard equal to three feet, while one foot equals to 12 inches. There is a higher unit than yard called miles which equals to 1760 yards or 1.60934 kilometers.
Since the measurement is 18 yards, the length in feet will be: 18 yards * 3 feet/yard= 54 feet.
The measurement in inch will be: 54 feet * 12 inches/feet = 648 inches.
Answer:
(f + g)(x) = 12x² + 16x + 9 ⇒ 3rd answer
Step-by-step explanation:
* Lets explain how to solve the problem
- We can add and subtract two function by adding and subtracting their
like terms
Ex: If f(x) = 2x + 3 and g(x) = 5 - 7x, then
(f + g)(x) = 2x + 3 + 5 - 7x = 8 - 5x
(f - g)(x) = 2x + 3 - (5 - 7x) = 2x + 3 - 5 + 7x = 9x - 2
* Lets solve the problem
∵ f(x) = 12x² + 7x + 2
∵ g(x) = 9x + 7
- To find (f + g)(x) add their like terms
∴ (f + g)(x) = (12x² + 7x + 2) + (9x + 7)
∵ 7x and 9x are like terms
∵ 2 and 7 are like terms
∴ (f + g)(x) = 12x² + (7x + 9x) + (2 + 7)
∴ (f + g)(x) = 12x² + 16x + 9
* (f + g)(x) = 12x² + 16x + 9