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.
Commutative property of multipication
Answer:
625 minutes
Step-by-step explanation:
Given that:
Time taken to tie 4 ribbons = 10 minutes
Number of ribbons to be tied = 250
To find:
Time taken to tie 250 ribbons.
Solution:
First of all, we need to find the time taken to tie one ribbon.
And then we can multiply it with 250 to find the time taken to tie all the 250 ribbons.
For finding the time to tie one ribbon, we need to divide the time taken to tie 4 ribbons with 4.
Time taken to tie 1 ribbon =
minutes
Time taken to tie 250 ribbons = 2.5
250 = <em>625 minutes</em>
Answer:
Step-by-step explanation:
6x2 + 5x - 4
6x2 + 8x - 3x - 4
2x(3x + 4) - 1(3x + 4)
(2x - 1) (3x + 4)
These are the factors
You would round the seven to an eight because the 8 next to is is closer to 10 and gives it more value than 5. when you're done it would be rounded to 3.68 because you want to find a number rounded to the nearest tenth so you'd use the extra number (8) to make the final product larger than smaller. it would stay a seven if it was lower than 5.