Answer:
396 in.^2
Step-by-step explanation:
The cushion is shaped like a cylinder with 14 inch diameter and 2 inch height.
We need to find the surface area of the cylinder.
diameter = 14 in.
radius = diameter/2 = 7 in.
height = 2 in.
A = 2(pi)r^2 + 2(pi)rh
A = 2(3.14159)(7 in.)^2 + 2(3.14159)(7 in.)(2 in.)
A = 395.84 in.^2
A = 396 in.^2
Step 2 , supposed to be 4^-15 instead of 4^-2. Always multiply the exponents together.
Answer: Chris made a mistake in step 2 -C
1. x midpoint: (-9+4)/(2) = -2
2. y midpoint: (3+7)/(2) = 5
3. The midpoint is (-2,5)
Answer: The acute angle between diagonals is 50
Step-by-step explanation:
Red angle = 50 because An exterior angle of a triangle is equal to the sum of the opposite interior angles (pink angles).
Alternatively:
Green angle is 130 by sum of interior angles of a triangle.
Red angle is 50 by Adjacent angles
The length of the diagonal of the canvas is approximately 27 degrees.
The height of the rectangular canvas must reach 18 inches. It must form a 48 degrees angle with the diagonal at the top of the canvas.
<h3>Length of the diagonal Canvas</h3>
Therefore, the length of the diagonal can be found as follows:
Using trigonometric ratio,
- cos ∅ = adjacent / hypotenuse
where
∅ = 48°
adjacent side = Height of the rectangle = 18 inches
hypotenuse = Length of the diagonal
Therefore,
cos 48° = 18 / h
cross multiply
h = 18 / cos 48°
h = 18 / 0.66913060635
h = 26.9005778976
length of the diagonal ≈ 27 inches
learn more on rectangle here: brainly.com/question/26099609?referrer=searchResults
