Answer:
The algebraic expression for 
Step-by-step explanation:
Let θ = 
use the properties of inverse trigonometric functions 
In a right angled triangle, the cosine of an angle is
Use this expression 
to find what are the sides of the right triangle.
Next find what is the expression for the opposite side, for this use the Pythagorean theorem and the values above
We said that 
, so now we can use the definition of tangent 
and the right triangle that we defined to find the algebraic expression for
The piece of paper has 4 corners.
If you cut 2 in.^2 from each corner, you are taking out 8 in.^2 of area.
The area of the uncut sheet is 8.5 in. * 11 in. = 93.5 in.^2
93.5 in.^2 - 8 in.^2 = 85.5 in.^2
Answer:
The answer is : x = 9.505 and x = -1.005
Step-by-step explanation:
To solve the quadratic equation use the formula :
Where a is the coefficient of x² , b is the coefficient of x and c is the numerical term
∵ a = 18 , b = -153 and c = -172
∴ 
∴ x = 9.505 and x = -1.005
P=156 cm
l=6+5w
P=2(l+w)
156=2(6+5w+w)
156=2(6+6w)
156=12+12w
12+12w=156
12w=156-12
12w=144
w=12cm
l=6+5•12
l=6+60
l=66cm
Y= 12 -3x so if you take x as 0 y=12 x=1 y=9 x=2 y=6
(0, 12) (1,9), (2,6) are on the graph
