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evablogger [386]
3 years ago
12

In the diagram below, what is the relationship between the number of trapezoids, n, and the perimeter, p, of the figure they for

m? (please help me :') I'm horrible at algebra and I cant find an answer)

Mathematics
1 answer:
Soloha48 [4]3 years ago
7 0

Answer:

Step-by-step explanation:

it is all of the side lengths of the four sides times how many trapezoids there are

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this is formula manipulation, I'd appreciate if the steps were provided. only respond if you know how to get the answer, thank y
marissa [1.9K]

Answer:

  1. r = 3V/(2πh²)
  2. h = 3V/b²
  3. r = 25/π cm ≈ 7.9577 cm
  4. w = 15 cm

Step-by-step explanation:

1. Multiply both sides of the equation by the reciprocal of the coefficient of r.

V\cdot\dfrac{3}{2\pi h^2}=r\\\\r=\dfrac{3V}{2\pi h^2}

__

2. Multiply both sides of the equation by the reciprocal of the coefficient of h.

V\cdot\dfrac{3}{b^2}=h\\\\h=\dfrac{3V}{b^2}

__

3. Solve the circumference formula for r, then substitute the given information.

C=2\pi r\\\\r=\dfrac{C}{2\pi}\qquad\text{divide by the coefficient of r}\\\\r=\dfrac{50\,\text{cm}}{2\pi}=\dfrac{25}{\pi}\,\text{cm}\approx 7.9577\,\text{cm}

__

4. Solve the perimeter formula for width, the substitute the given information and do the arithmetic.

P=2(L+W)\\\\\dfrac{P}{2}=L+W\qquad\text{divide by 2}\\\\\dfrac{P}{2}-L=W\qquad\text{subtract L}\\\\\dfrac{40\,\text{cm}}{2}-5\,\text{cm}=W=15\,\text{cm}

_____

In general, solving for a particular variable involves "undoing" what has been done to the variable, usually in the reverse order. In part 4, the variable W has L added and the sum is multiplied by 2. We "undo" those operations, last operation first, by dividing by 2 and subtracting L.

The properties of equality say you can do what you like to an equation as long as you do the same thing to both sides of the equation. So, when we say "divide by 2", we mean "divide both sides of the equation by 2." Likewise, "subtract L" means "subtract L from both sides of the equation."

4 0
3 years ago
Eight less than a number y is ninety four
maria [59]
Y = a number
"is" means "equal to"

Equation:
Y - 8 = 94

Solving for Y:
Y - 8 = 94
Add 8 to both sides
Y = 102

Answer: Y = 102

Hope this helps!!
8 0
3 years ago
Help me asap!!! <br><br> 3(m+7) = 6 (m+2)
siniylev [52]

Answer:

m=3

Step-by-step explanation:

3 0
2 years ago
How do u write 3:4 and 6:8 as a fraction proportion
faltersainse [42]

3/4=6/8

hope this helps :)

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Which two equations would be most appropriately solved by using the zero product property?
anzhelika [568]
For the zero product property questions it's choices 2 and 3 since they're quadratics factored and set equal to zero.

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