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LenaWriter [7]
2 years ago
13

What is the volume of the cube shown? 1/4 cm

Mathematics
1 answer:
murzikaleks [220]2 years ago
7 0

(1/64)cm^3

Step-by-step explanation:

edge(a)= 1/4cm

volume of cube

=a^3

=(1/4)^3

=(1/64)cm^3

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The diagonals of a rhombus have lengths of 12 centimeters and 16 centimeters. what is the length of one side of the rhombus
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<span>Diagonals of a rhombus are perpendicular and bisect each other. This means this rhombus is composed of four right triangles with legs of length 6 cm and 8 cm, with their hypotenuses forming the perimeter of the rhombus. The Pythagorean theorem a^2+ b^2 = c^2 can be used to find the length of the hypotenuse. 6^2+8^2 = 36+64 = 100. The square root of 100 is 10, so the length of a side of the rhombus is 10 cm.</span>
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Please help me for the brainliest answer
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Answer:

aₙ= -2n²

Step-by-step explanation:

<h2><u>Solution 1:</u></h2>

The sequence:

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The difference between the terms:

  • -6, -10, -14, -18
  • a₁= -2
  • a₂= a₁ - 6 = a₁ - 2*3= a₁- 2*(2²-1)
  • a₃= a₂ - 10 = a₁ - 16= a₁ - 2*8= a₁ - 2*(3²-1)
  • a₄= a₃- 14= a₁ - 30= a₁ - 2*15= a₁ - 2*(4² -1)
  • ...
  • aₙ= a₁ -2*(n²-1)= -2 -2n² +2= -2n²

As per above, the nth term is: aₙ= -2n²

<h2><u /></h2><h2><u>Solution 2</u></h2>

The sequence:

  • -2, -8, -18, -32, -50
  • -2*1, -2*4, - 2*9, -2*25
  • -2*1², -2*2², -2*3², -2*4², -2*5², ..., -2*n²
  • aₙ= -2n²
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Step-by-step explanation:

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