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elena-14-01-66 [18.8K]
3 years ago
14

The volume (v) of a sphere varies directly as the cube of its diameter (d). Write this statement in algebraic language, using an

equation with the variables c, v, and d.
Mathematics
2 answers:
Dmitrij [34]3 years ago
7 0
\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
\stackrel{\textit{volume}}{v}=\stackrel{\textit{constant of variation}}{c}\cdot \stackrel{\textit{cube of diameter}}{d^3}\implies v=cd^3
marin [14]3 years ago
4 0

Answer: v=cd^3

Step-by-step explanation:

The equation for direct variation between x and y (dependent variable) is given by :-

y=kx, where k is the proportionality constant.

Let the algebraic expression for the volume of sphere is v and for diameter is d.

The given statement : The volume of a sphere varies directly as the cube of its diameter.

Then the algebraic equation for the given statement will be :-

v=cd^3, where c is the proportionality constant.

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60 mg is equal to .00006 kg
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3 years ago
If the area of the rectangle avove is 180 spuare inches, then x =
oksano4ka [1.4K]

Given the dimension of the length and area of the rectangle, the dimension of the breadth x is 9in.

Hence, option A is the correct answer.

This question is incomplete, the missing diagram is uploaded along this answer below.

<h3>What is the value of x?</h3>

Area of a rectangle is expressed as; A = l × b

Given that;

  • Length of the rectangle l = 20in
  • Breadth b = x
  • Area A = 180in²

A = l × b

180in² = 20in × x

x = 180in² / 20in

x = 9in

Given the dimension of the length and area of the rectangle, the dimension of the breadth x is 9in.

Hence, option A is the correct answer.

Learn more about area of rectangle here: brainly.com/question/12019874

#SPJ1

4 0
2 years ago
Please help!!<br>show work!!<br>please!!
Advocard [28]
\frac{1}{1} *  \frac{1}{3} would work. 
4 0
3 years ago
Can some help me out with this EXTRA POINTS!!
Butoxors [25]

Answer: ≈ 185.73009

Step-by-step explanation:

area of square: length^{2}

area of circle: \frac{radius^{2} * \pi }{y}

length: 15

radius = diameter/2

radius: 5

area of square - area of circle =  area between square and circle:

15^{2} - \frac{5^{2} * \pi }{2} = 225 - \frac{25\pi}{2} ≈ 185.73009

hope it helps!

Please mark as brainliest.

8 0
2 years ago
Can someone please help me???
Pavel [41]

Answer:

72

Step-by-step explanation: Can someone please help me???

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2 years ago
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