It states that if you place two angles side by side, then the measure of the resulting angle will be equal to the sum of the two original angle measures.
Answer:
read below
Step-by-step explanation:
If you know tangent of theta is 5/3 and it is in the 3rd quadrant, then you know the sides will be going in the negative direction and the real values of the sides would be -5/-3. You can use pythagorean theorem to figure out that the hypotenuse would be sqrt(5^2+3^2) = sqrt(34). Then you can use soh cah toa: sin = opp/hyp, cos=adj/hyp tan = opp/adj. You know that opp = -5, adj = -3, and hyp = sqrt(34) For cosine theta, it would be -3/sqrt(34) and csc is just 1/sin so csc would be hyp/opp = sqrt(34)/-5.
2(2x-3) + 2(x+6) = P
(4x - 6) + (2x + 12) = P
6x + 6 = P ~answer~
(2x-3)(x+6) = A
2x^2 + 12x -3x - 18
2x^2 + 9x - 18 = A. ~answer~
First, we must determine the circumference of the paddle wheel.
The formula for the circumference of a circle is:
c = 2πr
Where r is the radius of the circle. However, we know d = 2r where d is the diameter of the circle.
Therefore:
c = 2rπ = dπ
Substituting 8ft for d gives a circumference of:
c = 8πft
The time it takes to complete 1 revolution can be found using the formula:
t = d/s
Where:
t is the time it takes: what we are solving for in this problem.
d is the distance traveled: we calculated this as 8πft
s is the speed traveled: from the problem we know this is
6.7ft/sec
Substituting and calculating t gives:
t = 8πft / (6.7ft/sec)
t = 1.2πsec
Two find how long it would take for 100 revolutions we can multiply this time by 100
100 × 1.6πsec ⇒ 122.2πsec
If a number is required for the answer we can use 3.14 as an estimate for π giving:
122.2πsec ⇒ 122.2 × 3.14sec ⇒ 383sec
Answer:
It is 62 miles.
Step-by-step explanation:
Hope this helps! :)