Let r(cos O + i sin O) be a cube root of 125(cos 288 + i sin 288)
then
r^3(cos O + i sin O)^3 = 125(cos 288 + i sin 28)
so r^3 = 125 and cos 3O + i sin 3O = cos 288 + i sin 288
so r = 5 and 3O = 288 + 360p and O = 96 + 120p
so one cube root is 5 (cos 96 + i sin 96)
Im a little rusty at this stuff Its been a long time.
Im not sure of the other 2 roots
sorry cant help you any more
Answer: C. Definition of an Altitude
Step-by-step explanation:
Given: In triangle MNO shown below, segment NP is an altitude from the right angle.
Let ∠MNP=x
Then ∠PNO=90°-x
Therefore in triangle MNO,
∠MPN=∠NPO =90° [by definition of Altitude]
[Definition of altitude : A line which passes through a vertex of a triangle, and joins the opposite side forming right angles. ]
Now using angle sum property in ΔMNP
∠MNP+∠MPN+∠PMN=180°
⇒x+90°+∠PMN=180°
⇒∠PMN=180°-90°-x
⇒∠PMN=90°-x
Now, in ΔMNO and ΔPNO
∠PMN=∠PNO=90°-x
and ∠MPN=∠NPO =90° [by definition of altitude]
Therefore by AA similarity postulate, we have
ΔMNO ≈ ΔPNO
If an hour has 60 minutes and a day has 24 hours , there are 60 times 24 in a day
60*24 = 1440
There are 1440 minutes in a day !
I hope that's help !
Answer:
d = 6
Step-by-step explanation:
Since the line is horizontal then the distance from B to C is the distance between the x- coordinates.
d = | - 3 - 3 | = | - 6 | = | 6 | = 6
Answer:
- April
- She did not pack enough layers of centimeter cubes
- 240 cubic centimeters
Step-by-step explanation:
Dimensions of the prism is 5x8x6
April made a mistake, she packed 4 layers of unit cubes instead of 5 layers
<u>Correct volume of the prism is:</u>
<u>Correct answer choices:</u>
- April
- She did not pack enough layers of centimeter cubes
- 240 cubic centimeters
