Step-by-step explanation:
To prove :
( 1 - sin x ) ( 1 + sin x ) = sec² x
LHS : -
( 1 - sin x ) ( 1 + sin x )
Formula / Identity : -
( a - b ) ( a + b ) = a² - b²
Here,
a = 1
b = sin x
( 1 - sin x ) ( 1 + sin x )
= 1 - sin² x
Identify : -
sin² θ + cos² θ = 1
cos² θ = 1 - sin² θ
Similarly,
1 - sin² x
= cos² x
= RHS
Hence verified.
Answer:
C - (8×10) + (9×1) + (4×1/100)
Step-by-step explanation:
89.04
4 is in the hundredths place after the decimal. So it would ve equivalent to 1/100 because the 0 is taking the place of 1/10
<h3>
Hope it Helps!</h3>
:)
Answer:
Noelle is 17, he is 51
Step-by-step explanation:
If you start at an age where the sum is close based on estimate and workaround, you can find the answer quickly
Answer:
the probability that Jack draws the blue ball is 0.38539
Step-by-step explanation:
Given the data in the question;
box contains
blue balls = 5
red balls = 8
Jim and Jack start drawing balls from the box, respectively, one at a time, at random, and without replacement
Now,
on the first attempted;
⇒ ( 8/13) × ( 5/12) = 10/39
on the second attempt;
⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) = 14/143
on the third attempt;
⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 5/8 ) = 35/1287
on the fourth attempt;
⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 3/8 ) ( 2/7 ) ( 5/6 ) = 5/1287
so we add everything;
⇒ 10/39 + 14/143 + 35/1287 + 5/1287
= 0.38539
Therefore, the probability that Jack draws the blue ball is 0.38539
Answer:
The given such number is 6.
Step-by-step explanation:
Let the given such number = m
Now, according to the question, the given expression is:
By the LAW OF EXPONENTS:
⇒Here 
or, the given expression becomes ![m^3 = 216\\\implies m = \sqrt[3]{216} = 6](https://tex.z-dn.net/?f=m%5E3%20%3D%20%20216%5C%5C%5Cimplies%20m%20%3D%20%5Csqrt%5B3%5D%7B216%7D%20%20%3D%206)
or, m = 6
Hence, the given such number is 6.
