Answer:
90°
Step-by-step explanation:
since PQ is the diameter of the circle, m <em>L</em><em> </em>PRQ = ½ × 180° = 90°.
so, as a supplementary to <em>L</em><em> </em>PRQ, the value of angle QRS = 180 - m <em>L</em><em> </em>PRQ = 180-90 =90°
Answer:
See below.
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336).. (Answer).
Answer:
44 in.
Step-by-step explanation:
pi = 3.14 (in our case)
circumference = diameter x pi
circ. = 14 x 3.14, which equals to 43.96
round that and you get 44 in.
Answer:
Step-by-step explanation:
we know that
To convert yards to miles multiply by 1/1,760
so
To convert seconds to day multiply by 1/86,400
In this problem we have
Answer:
-36m + 900 < 44m + 100
Step-by-step explanation:
Given that:
The first barrel contains 900 liters of the solution; &
The second barrel contains 100 liters of solution.
So, Laura drains the first barrel at the rate of 36 liters/ min
Since Laura is draining the solution in the first barrel;
Then; we have - 36m + 900 litres
Also; Laura fills the second barrel at a rate of 44 liters per minute.
Since Laura is filling the barrel; we have: 44m + 100
Therefore; the inequality representing when the second barrel contains a greater or equal amount of solution than the first barrel can be expressed as:
- 36m + 900 < 44m + 100
