Answer:
√10 / 10
Step-by-step explanation:
tan θ > 0 and sin θ < 0, so θ is in quadrant III. That means cos θ < 0.
cos(θ + π/4)
Use angle sum formula.
cos θ cos(π/4) − sin θ sin(π/4)
½√2 cos θ − ½√2 sin θ
Factor.
½√2 cos θ (1 − tan θ)
½√2 cos θ (1 − 2)
-½√2 cos θ
Write in terms of secant.
-½√2 / sec θ
Use Pythagorean identity (remember that cos θ < 0).
-½√2 / -√(1 + tan²θ)
-½√2 / -√(1 + 2²)
½√2 / √5
√10 / 10
Answer:
2^5 and 3^4
Step-by-step explanation:
you can see there are 5 2's and 4 3's. so it would be 2^5 and 3^4
Answer:
Step-by-step explanation:
For a. the 14.7 represents the pressure that the air puts on you all the time.
For b. the d represents the depth you go under the surface of the water.
For c. we have to solve p(d) when d = 8:
p(8) = 14.7 + 0.445(8) so
p(8) = 14.7 + 3.56 and
p(8) = 18.26 psi
-6 -8=-14C. When you subtract from a negative number the product will be smaller than when you started. Sometimes it helps to draw a number line and count that way.
Answer:
vertex : (-5/2, -53/4)
solutions: (-(5-sqrt53)/2, 0) (-(5+sqrt53)/2, 0)
Step-by-step explanation: