Answer:
x=−9±3√2
Step-by-step explanation:
Answer:
A) sin θ = 3/5
B) tan θ = 3/4
C) csc θ = 5/3
D) sec θ = 5/4
E) cot θ = 4/3
Step-by-step explanation:
We are told that cos θ = 4/5
That θ is the acute angle of a right angle triangle.
To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.
Now, the identity cos θ means adjacent/hypotenuse.
Thus, adjacent side = 4
Hypotenuse = 5
Using pythagoras theorem, we can find the third side which is called opposite;
Opposite = √(5² - 4²)
Opposite = √(25 - 16)
Opposite = √9
Opposite = 3
A) sin θ
Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;
sin θ = 3/5
B) tan θ
Trigonometric ratio for tan θ is opposite/adjacent. Thus;
tan θ = 3/4
C) csc θ
Trigonometric ratio for csc θ is 1/sin θ. Thus;
csc θ = 1/(3/5)
csc θ = 5/3
D) sec θ
Trigonometric ratio for sec θ is 1/cos θ. Thus;
sec θ = 1/(4/5)
sec θ = 5/4
E) cot θ
Trigonometric ratio for cot θ is 1/tan θ. Thus;
cot θ = 1/(3/4)
cot θ = 4/3
Answer:
w = ( x - 10)
Step-by-step explanation:
area of the garden = x² - 25x + 150.
factorise the expression to find the x values.
x² - 25x + 150 = (x - 15)( x - 10) -15-10 = -25
-15*-10= 150
as the garden is rectangle, it's area will be = lw.
a = l × w
a = (x - 15)( x - 10)
one among them is the width, the other the length. if the length is (x - 15), then reasonably the width will be (x - 10).
hope this helps you, au revoir!
The data is equally spaced in x so let's start by taking first differences.
4-9 = -5
-1-4 = -5
-6 - -1 = -5
-11 - -6 = -5
Hmmm. I detect a pattern. That tells us we have a line and the slope is -5.
We read off the y intercept from x=0 as -1.
So our equation in slope intercept form is
y = -5 x - 1
or as a function
![f(x) = -5x -1](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20-5x%20-1%20)
5 2/3 + 2 1/5 = 118/15
= 7 13/15