Answer:
x = 7
Step-by-step explanation:
all triangles add up to 180
(90 from the right angle)
90 + (4x) + (5x +27) = 180
117 + 9x = 180
<u>-117 - 117</u>
9x = 63
x = 63/9
x = 7
Your answer would be 5 1/4
Answer:
C.
Step-by-step explanation:
We are given the integral:
And we want to select its equivalent form.
We can simply divide the fraction. Therefore:
Simplify:
Our answer is C.
Answer:
Triangle R S P is similar to triangle Z X Y
Triangle S R P is similar to triangle X Z Y
Triangle R P S is similar to triangle Z Y X
Answer:
A(t) = 27.86 in²
Dimensions of the paper:
L = 3.73 in
w = 7.47 in
Step-by-step explanation:
The total area of a rectangular page A = ( x + 2)* (y + 4 ) x is the length and y the wide. x and y are the dimensions of the print area
The print area of the paper is A = 6 in² 6 = x*y y = 6/x
Then print area as a function of x is
A(x) = ( x + 2 ) * ( 6/x + 4 ) ⇒ A(x) = 6 + 4*x + 12/x + 8
Taking derivatives on both sides of the equation:
A´(x) = 4 - 12/x² A´(x) = 0 4 = 12 /x²
x² = 12/4 x =√3 x = 1.73 in and y = 6 / 1.73
y = 3.47 in
Then the dimensions of the paper are.
Length L = x + 2 = 3.73 in and w = 3.47 + 4 = 7.47 in
And the least amount of paper is
A(t) = 3.73* 7.47 = 27.86 in²
To find out if x = 1.73 is an x coordinate for a minimum we get the second derivative
A´´(x) = 24/x³ is always positive A´´(x) > 0 then we have a minimum for A at x = 1.73
