Answer:
The length = The width = The height ≈ 5.8 cm
Step-by-step explanation:
The volume of a rectangular pyramid, V = l × w × h
The surface area of the pyramid = 2 × l × h + 2 × w × h + 2 × l × w = 200
∴ l × h + w × h + l × w = 200/2 = 100
We have that the maximum volume is given when the length, width, and height are equal and one length is not a fraction of the other. Therefore, we get;
At maximum volume, l = w = h
∴ l × h + w × h + l × w = 3·l² = 100
l² = 100/3
l = 10/√3
Therefore, the volume, v = l³ = (10/√3)³
The length = The width = The height = 10/√3 cm ≈ 5.8 cm
Answer:
15
Step-by-step explanation:
A complementary angle is a right angle split into two parts. Since 75 is one of the two parts, we subtract it from 90, giving us an answer of 15.
The coordinates of B are (14, -10).
<h3>How to find mid point?</h3>
The midpoint is already know . we can use it to find the coordinates of B.
Therefore,
(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)
Hence,
M(5, - 4) and A(-4, 2)
The coordinates of B are as follows:
(5, - 4) = (-4 + x₂ / 2 , 2 + y₂ / 2)
5 = -4 + x₂ / 2
10 = -4 + x₂
x₂ = 14
hence,
-4 = 2 + y₂ / 2
-8 = 2 + y₂
y₂ = - 10
Therefore, the coordinates of B are (14, -10)
Learn more about midpoint here: brainly.com/question/25377004
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No. This is because you can plug it in and see if it is true. Meaning...
3=-5-8
3=-13
3 is not equal to -13. Therefore the point does not satisfy the equation
