Let angle = x
sinx = 43.2/72.5
=> x = 36.57 degrees
Answer:
x=11
Step-by-step explanation:
Using the Exterior Angle Theorem. . .
(3x+8) + (2x+9) = (8x-16)
Solve to get x = 11
Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
Answer:
1/6 squared feet or 0.17 squared feet
Step-by-step explanation:
Since it's a paper, we assume it is a rectangle.
Use the formula for area of a rectangle. A= lw
l is the length and w is the width.
The width is 2/3 feet and the length is 1/4 feet.
Substitute w = 2/3 and l=1/4 into the equation for area of a rectangle.
A = lw
A = (1/4)(2/3) Multiply both numerators, then both denominators
A = 2/12 Simplify. Top and bottom are divisible by 2
A = 1/6
A ≈ 0.17 Rounded to two decimal places
When you multiply two numbers with units, the answer's unit becomes the squared unit.
Therefore the area of her paper is 1/6 squared feet, or 0.17 squared feet.
