<h3>
Answer: 26 cm</h3>
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Explanation:
Refer to the diagram below. The rectangle MATH has the diagonal MT that cuts the rectangle into two identical right triangles.
We then use the pythagorean theorem to find the length of the hypotenuse MT.
a^2 + b^2 = c^2
10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
c^2 = 676
c = sqrt(676)
c = 26
Segment MT is 26 cm long.
This applies to the other diagonal AH as well.
Answer:
8/-2
Step-by-step explanation:
The consecutive numbers are...
But first let me tell you what Consecutive numbers are:<span> Numbers which follow each other in order, without gaps, from smallest to largest.</span>
For example 1, 2, 3, 4 are consecutive numbers
2, 4, 6, 8, 10 are consecutive even numbers.
Now The consecutive integers numbers that equal 193, It could be
96 and 97
Answer:
x = h = ∛7 cm ≈ 1.913 cm
Step-by-step explanation:
The volume and other dimensions are related by ...
V = Bh = x²h
Solving for h gives ...
h = V/(x²)
The surface area is ...
S = 2(x² +h(2x)) = 2x² +4x(V/(x²)) = 2x² +4V/x
Differentiating with respect to x, we can find where the derivative is zero.
S' = 4x -4v/(x²) = 0
x³ -V = 0 . . . . . . . multiply by x²/4
x = ∛V . . . . . . . . . solve for x
h = V/(∛V)² = (∛V)³/(∛V)² = ∛V
The surface area is minimized when the box is a cube. Its edge lengths are all (∛7) cm ≈ 1.913 cm.
