What would it be for this?

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:

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

Step-by-step explanation:

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

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

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

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

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

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

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

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

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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

The perimeter of a parallelogram is 15.42 cm. The length of its sides is 2.93. What isthe lengths of its other sides?

KATRIN_1 [288]

Paaralellogram has 2 pairs of paralell sidess
therefor there are 2 pairs of sides with same legnth
perimiter=legnth+widht+legnth+width since the opposite sides ar the same sinnce paralell
perimiter=2legnth +2width

perimiter=15.42
legnth=2.93
subsitute
15.42=2(2.93)+2width
15.42=5.86+2width
subtract 5.86 from both sides
9.56=2width
divide both sides by 2
4.78

legth of ther side is 4.78 cm

6 0

3 years ago

The question is find the volume of a cube of 5in 3in and 5in

lisabon 2012 [21]

5in×3in×5in=75in
Because to find the volume, you have to multiply the length, width, and height.
Hope this helps! :D

6 0

3 years ago

1. Choose the correct answer.

Margaret [11]

Answer:

Equilateral triangle

Step-by-step explanation:

equilateral triangle is a triangle in which all three sides have the same length

6 0

2 years ago

Write the equation of the line that passes through the point (1,-1) and has a slope of -4

Phantasy [73]

Answer:

y= -4 x+3

Step-by-step explanation: A(1, -1)

the equation is y - y (A)=m*( x-x(A) )

y-(-1)=-4(x-1)

y+1=-4x+4

y= -4x+4-1

y=-4x+3

y=-4x+4-1

3 0

3 years ago