Answer:
The answer is option B
Step-by-step explanation:
To find cos 45° we must first find the adjacent and the hypotenuse
Let the adjacent be x
Let the hypotenuse be h
To find the adjacent we use tan
tan ∅ = opposite / adjacent
From the question
the opposite is 9
So we have
tan 45 = 9 / x
x tan 45 = 9
but tan 45 = 1
x = 9
Since we have the adjacent we use Pythagoras theorem to find the hypotenuse
That's
h² = 9² + 9²
h² = 81 + 81
h² = 162
h = √162
h = 9√2
Now use the formula for cosine
cos∅ = adjacent / hypotenuse
The adjacent is 9
The hypotenuse is 9√2
So we have
cos 45 = 9/9√2
We have the final answer as
<h3 /><h3>cos 45 = 1 / √2</h3>
Hope this helps you
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
(4,0) (o,3) 1727/!/818281
Answer:
no
Step-by-step explanation:
2(3)+2=8
6+2=8
-x+3y=4
-(3)+3(2)=4
-3+6=4
3 does not equal 4
Solution:
D is the correct option.
Explanation:
The equation for the given line is y − 1 = 4(x + 3). Let us convert this equation in slope intercept form y= mx +b, where m is slope and b is the y-intercept.
Thus, the slope of this line is 4.
Now, we know that the slope of parallel lines are equal. Hence, the slope of the required line is same as the slope of the given line.
Hence, the slope of the required line is m = 4
It passes through the point (4,32).
The point slope form of a line is given by
Therefore the equation of the line is y = 4x+16
D is the correct option.
