The formula for sum of the interior angles is,
S = 180 x (n - 2)
and that of the number of diagonals is,
d = n x (n - 3) / 2
where n is the number of sides. For 6-sided polygon,
S = 180 x ( 6 - 2) = 720
d = 6 x (6 - 3) / 2 = 9
Therefore, the answer is 720 degrees and 9 diagonals.
Okay. So the song lasts 221 seconds. 45 seconds have already beem done and 22 seconds is done in an hour. The equation would be set up like this:
45 + 22h = 221
Just by looking at the answer choices, A is already eliminated because it doesn't incorportate the 45 seconds. B does include the 45 seconds, but it subtracts, and in this case, we add time, not subtract. D is eliminated, because the h variable does not go with 45. The only equation that works is C and when you solve it, you get 8 hours. The answer is C.
Note: you solve the equation above by subtract 45 from both sides to get 176 = 22x, and dividing both sides by 22 to get x = 8.
Answer:
125
Step-by-step explanation:
Given
f(x) = 5x²
g(x) = 2x + 3
Now
g(-4) = 2 * (- 4) + 3
= - 8 + 3
= - 5
Also
f(g(-4)) = f( -5)
= 5 * ( -5)²
= 5 * 25
= 125
The total elevation from the water level to the highest point of the lighthouse is 65 ft. The distance from the cliff to the boat is the side of the triangle that is adjacent to the given angle. The trigonometric equation that would best represent this given is,
tan (35°) = opposite side/adjacent side
tan (35°) = 65 ft / x
The value of x from the generated equation is 92.83 ft. Thus, the answer should be letter C.
Sorry I couldn’t answer S,T, &F. But I hope with the other problems that I solved makes sense, in order for you to solve the other 3.