Cos
θ
=
√
5
3
or it could be cos
θ
=
√
5
−
3
Explanation:
Since sin
θ
is negative, it can be in the third or fourth quadrant
Drawing your right-angled triangle, place your
θ
in one of three corners. Your longest side will be 3 and the side opposite the
θ
will be -2. Finally, using Pythagoras theorem, your last side should be
√
5
Now, if your triangle was in the third quadrant, you would have
cos
θ
=
√
5
−
3
since cosine is negative in the third quadrant
But if your triangle was in the fourth quadrant, you would have
cos
θ
=
√
5
3
since cosine is positive in the fourth quadrant
Answer:
Set A
Step-by-step explanation:
By definition "a function may NOT have two y-values assigned to the same x-value, [but] it may have two x-values assigned to the same y-value."(https://mathbitsnotebook.com/Algebra1/Functions/FNFuncBasics.html)
Set A has follows this set of rules while Set B does not. Also if we graph it, Set B does not pass the vertical line test. (Learn about the vertical line test in the link below).
http://www.coolmath.com/algebra/15-functions/03-vertical-line-test-01
Answer:
Option (2)
Step-by-step explanation:
Given expression is, AX + B = C
AX + B = C
AX = C - B
C - B = 
= 
C - B = 
Let 
AX = 
= 
Since AX = C - B
Therefore, a = 1, b = 5
(-3a - 4c) = -35
3(1) + 4c = 35
3 + 4c = 35
4c = 32
c = 8
And (-3b - 4d) = -11
3(5) + 4d = 11
4d = -4
d = -1
Therefore, Option (2). X = 
will be the answer.
Answer:
a) 0.9964
b) 0.3040
Step-by-step explanation:
Given data:
standard deviation = $90,000
Mean sales price =$345,800
sample mean = $370,000
Total number of sample = 100
calculate z score for [/tex](\bar x = 370000)[/tex]
z = 2.689
P(x<370000) = P(Z<2.689)
FROM STANDARD NORMAL DISTRIBUTION TABLE FOR Z P(Z<2.689) = 0.9964
B)
calculate z score for (\bar x = 350000)
z = 2.133
FROM NORMAL DISTRIBUTION TABLE Z VALUE FOR
SO, = 0.9836 - 0.6796 = 0.3040
Find the formula for the polynomial
then solve
