Answer:
x ≈ 77°, y = 103°
Step-by-step explanation:
Using the Sine rule in Δ BCD
=
( cross- multiply )
2.9sinx° = 4sin45° ( divide both sides by 2.9 )
sinx° = , thus
x = (
) ≈ 77° ( to the nearest degree )
Since AC and DC are congruent then Δ ACD is isosceles.
Thus the base angles are congruent, that is
∠ ADC = ∠ CAD = y°
x and y are adjacent angles and supplementary, thus
x + y = 180, that is
77 + y = 180 ( subtract 77 from both sides )
y = 103°
Answer:
24 feet
Step-by-step explanation:
Given that:
The length of the rectangle is 6 times the side of a cement square.
Now, this rectangle is formed from 6 squares;
The total area of the path of this square = 96 square feet;
The area of each square now = 96/6 = 16 square feet
Recall that:
Area of a square = S²
where S is the side length
16 = S²
S =
S = 4 ft
The length of the path in feet now is: L × w
= 6 × 4
= 24 feet.