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frutty [35]
3 years ago
8

How you use the Pythagorean theorem in 3D.

Mathematics
1 answer:
Olin [163]3 years ago
4 0

Answer:

If the base of the prism has dimensions x and y, and the diagonal along the base is represented by c, then x² + y² = c². The longest diagonal in the solid, s, is the hypotenuse of the triangle formed by the sides c and the height of the solid, z. So we know that, c² + z² = s².

Step-by-step explanation:

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If the area of the triangle (the shaded portion below) within the pentadecagon is 10 units, what is the area
GaryK [48]

Answer:

150

Step-by-step explanation:

8 0
3 years ago
Let <img src="https://tex.z-dn.net/?f=%5Csf%20a%2Bb%2Ca-b%2Cab%2C%5Cdfrac%7Ba%7D%7Bb%7D" id="TexFormula1" title="\sf a+b,a-b,ab,
Black_prince [1.1K]

Answer:

  • 171/40 or 4 11/40

Step-by-step explanation:

<h3>AP given</h3>
  • a + b, a - b,  ab, a/b
<h3>To find</h3>
  • 6th term
<h3>Solution</h3>

Common difference

<u>Difference of first two</u>

  • d = (a -b) - (a + b) = -2b

<u>Difference of second two</u>

  • d= ab - (a - b)

<u>Difference of last two</u>

  • d = a/b - ab

<u>Now comparing d:</u>

  • -2b = ab - (a - b)
  • ab - a = - 3b
  • a(1 - b) = 3b
  • a = 3b/(1 - b)

and

  • a/b - ab = -2b
  • a(1/b - b) = -2b
  • a = 2b²/(b² - 1)

<u>Eliminating a:</u>

  • 2b²/(b² - 1) = 3b/(1 - b)
  • 2b/(b+1) = -3
  • 2b = -3b - 3
  • 5b = - 3
  • b = -3/5

<u>Finding a:</u>

  • a = 3b/(1 - b) =
  • 3*(-3/5) *1/(1 - (-3/5)) =
  • -9/5*5/8 =
  • -9/8

<u>So the first term is:</u>

  • a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40

<u>Common difference:</u>

  • d = -2b = -2(-3/5) = 6/5

<u>The 6th term:</u>

  • a₆ = a₁ + 5d =
  • -69/40 + 5*6/5 =
  • -69/40 + 240/40 =
  • 171/40 = 4 11/40
8 0
2 years ago
Hello i need urgent help with this assignment.
Mars2501 [29]

Answer:

AD = 1 3/4y + 5/8x - 3

Step-by-step explanation:

AD = 1/4x + 2y + 3 - 1/4y + 3/8x - 6

combine like terms:

AD = 1 3/4y + 5/8x - 3

7 0
2 years ago
Read 2 more answers
Megan had 516 pennies. She wanted to place the pennies into nine stacks, with the same amount in each stack. How many more penni
NISA [10]

Answer:

522

Step-by-step explanation:

516 divided by 9 is 57.34

she would need 522 pennies and she would end up with 9 stacks of 58 pennies

6 0
2 years ago
Read 2 more answers
Can someone tell me what to write of how i found the answer please ?!
Vlad [161]

Answer:

108

Step-by-step explanation:

4−22+135−9

=−18+135−9

=117−9

=108

5 0
3 years ago
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