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IgorC [24]
3 years ago
9

The volume of two similar solids are 20 cm3 and 2500 cm3 what is the ratio of the corresponding sides of the larger figure to th

e smaller figure
Mathematics
1 answer:
slamgirl [31]3 years ago
3 0
First, we find the ratio between the volumes of the given solids. That is,
                         r (V_larger / V_smaller) = 2500 cm³ /20 cm³
                              r = 125
To determine the ratio of the corresponding sides of the larger figure to that of the smaller figure, we just have to get the cube root of the ratio calculated above. This will give us an answer of 5 or similarly, 5:1. 
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Can someone help me complete this table?
Dmitry [639]

3 - 2

1 - 2/3

2 - 1 1/3

5 - 3 1/3

10 - 6 2/3

I think.

3 0
3 years ago
Read 2 more answers
Which expression is equivalent to 3b-1?<br> 5b+3-6-6-4<br> 5b+3-2b-5<br> 26-5+b-4<br> b+b-5-5b+4
vesna_86 [32]
Answer:

5b+3-b-b-4

Explanation:

First, you’ll do 5b-b-b which will become 5b-2b and equals 3b. Then 3-4 equals -1.
When simplified, you get 3b-1
8 0
3 years ago
What is the equation of the graphed line in point-slope form? y – 1 = 2/3 (x + 3), y – 1 = 2/3 (x – 3), y + 1 = 2/3 (x – 3), y +
saul85 [17]
Slope = 4/6= 2/3
Intercept is -1 (I think just check with gradient on graph in doing in my head)

Y=MX+B
Y=2/3X-1 ( if my calculations add up
3 0
3 years ago
What is the volume of this rectangular prism?
Flura [38]

Answer:

9 \frac{1}{3}  {cm}^{3}

Step-by-step explanation:

v = whl \\  = 2 \times 2 \times   \frac{7}{3}  \\  = 4 \times  \frac{7}{ 3}  \\  =  \frac{28}{3}   {cm}^{3}  = 9 \frac{1}{3}  {cm}^{3}

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5 0
3 years ago
Read 2 more answers
Find an equation of the line passing through the point ( 6 , − 4 ) (6,-4) and perpendicular to 9 x − 3 y = 9 9x-3y=9 . Write you
MrMuchimi

Answer:

y =-\frac{1}{3}-2

Step-by-step explanation:

We are given;

  • A point (6, -4)
  • An equation of a line, 9x - 3y = 9

We are required to determine the equation a line passing through a point (6, -4) and perpendicular to the given line;

  • To answer the question we need to get the gradient of the given line first.
  • We write the equation 9x - 3y = 9  in the form of y = mx + c, where m is the slope;
  • That is;

y = 3x -3

  • Thus, the slope of the line is 3

But; m₁ × m₂ = -1 (For perpendicular lines)

Therefore;

m₂ = -1 ÷ 3

    = -1/3

Therefore, the slope of the line in question is -1/3 and the line passes through (6, -4).

To get its equation, we get another point (x, y)

Then;

\frac{y+4}{x-6}=\frac{-1}{3}

Thus;

3(y+4) = -1(x-6)\\3y + 12 = -x+6

In the form of slope-intercept, the equation will be;

3y = -x - 6\\y =-\frac{1}{3}-2

Thus, the equation of the line is;

y =-\frac{1}{3}-2

7 0
3 years ago
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