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trapecia [35]
3 years ago
5

Is sqrt(1 - sin^2 θ) = cos θ true? if so, in which quadrants does angle θ terminate?​

Mathematics
1 answer:
jonny [76]3 years ago
7 0

Answer:

  I and IV

Step-by-step explanation:

Since 1-sin(θ)² = cos(θ)², the given equation is equivalent to ...

  √(cos(θ)²) = |cos(θ)| = cos(θ)

This will be true where the cosine is non-negative, in the first and fourth quadrants.

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The probability that a student uses Smarthinking Online Tutoring on a regular basis is 0.31 . In a group of 21 students, what is
Ivenika [448]

Answer: 0.0241

Step-by-step explanation:

This is solved using the probability distribution formula for random variables where the combination formula for selection is used to determine the probability of these random variables occurring. This formula is denoted by:

P(X=r) = nCr × p^r × q^n-r

Where:

n = number of sampled variable which in this case = 21

r = variable outcome being determined which in this case = 5

p = probability of success of the variable which in this case = 0.31

q= 1- p = 1 - 0.31 = 0.69

P(X=5) = 21C5 × 0.31^5 × 0.69^16

P(X=5) = 0.0241

4 0
3 years ago
Find the rate of change
vesna_86 [32]

Answer:

11

Step-by-step explanation:

The rate of change  is the ratio of the change in Y to the change in X.

When Y changes from -40 to 4, that is an increase of 44 (4--40=4+40=44), so the change in Y is +44.  The corresponding change in X is from -3 to 1, so the change in X is +4 (1--3=1+3=4).  The ratio of the change in Y to the change in X is 44/4=11.

Try doing the same computation going from the second row to the third row and you will get the same ratio of 11.

5 0
3 years ago
Read 2 more answers
PLEASE HELP
Aliun [14]

Hello from MrBillDoesMath!

Answer:

(x^4-2) (x^4 -1)


Discussion:


Let u = x^4, then

x^8 - 3x^4 + 2

= u^2 - 3u + 2

= (u -2) ( u -1)

= (x^4-2) (x^4 -1)



Thank you,

MrB

8 0
3 years ago
Read 2 more answers
1.8 × 10^9 ? 8.7 × 10^7 <br> compare <br> A.&lt; b. &gt; c.=
Ede4ka [16]
1.8 x 10^9 = 1,800,000,000
8.7 x 10^7 = 87,000,000

1.8 x 10^9 > 8.7 x 10^7
8 0
3 years ago
4 The pet store has 6 fish tanks.
telo118 [61]

72 fish total. 12 fish in each tank.

_________________________

(g+t)n=f

g=Goldfish

t=Tetras

n=Number of fish tanks

*If I got it wrong, let me know*

5 0
3 years ago
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