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:
You can use 5 to simplify 5 and 15, giving you 1 and 3
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One US-penny is 19 mm in diameter.
One British-penny is 20.3 in diameter.
We can make an accurate measurement of the diameters, or research on the internet.
1 milion US_pennies are
1,000,000*19 mm = 19,000,000 mm = 1,900,000 cm tall, since 1cm=10mm
1 milion British_pennies are
1,000,000*20.3 mm = 20,300,000 mm = 2,030,000 cm tall, since 1cm=10mm
Answer:
(3+p)
Step-by-step explanation:
solution
first expression=9-P^2
=3^2 - P^2
=(3+P) (3-p)
second expression=p^2 + 3p
= p(3+p)
Therefore lCM= (3+p)
Answer:
1.A
2.A
3.D
4.A
5.A
Step-by-step explanation: