$8 per yard of fabric
1 yard is equal to 3 feet
8 divided by 3 = 2.67(rounded)
$2.67 per foot of fabric
1 foot is equal to 12 inches
2.67 divided by 12 =0.22(rounded)
1 inch of fabric cost $0.22
Answer:
∠x = 90°
∠y = 58°
∠z = 32°
Step-by-step explanation:
The dimensions of the angles given are;
∠B = 32°
Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;
∠A = 90°
∴ ∠B + ∠C = 90° which gives
32° + ∠C = 90°
∠C = 58°
∠x + Interior angle of the square = 180° (Sum of angles on a straight line)
∴ ∠x + 90° = 180°
Hence;
∠x = 90°
∠x + ∠y + 32° = 180° (Sum of angles in a triangle)
∴ 90° + ∠y + 32° = 180°
∠y = 180 - 90° - 32° = 58°
∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)
58° + ∠z +90° = 180°
∴ ∠z = 32°
∠x = 90°
∠y = 58°
∠z = 32°
Answer:
A ≈ 530 cm²
Step-by-step explanation:
The swept area equals the total area covered by the blade minus the unswept area.
The area of a sector with radius r and angle θ is:
A = (θ / 360) πr²
So the swept area is:
A = (θ / 360) πR² − (θ / 360) πr²
A = (θ / 360) π (R² − r²)
A = (150 / 360) π (21² − 6²)
A ≈ 530 cm²
<h3>
Answer: A) 5.39</h3>
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Explanation:
Apply the distance formula.
You could also use the pythagorean theorem which is what the distance formula is based off of.
Answer:
infinite solutions.
Step-by-step explanation:
they both represent the same equation.
There are infinite points on a st. line.
