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LUCKY_DIMON [66]
2 years ago
11

the surface areas of two similar solids are 1,008cm^2 and 1,372cm^2. the volume of the larger solid is 1,801cm^3. find the volum

e of the smaller solid. round your answer to the nearest hundredth.
Mathematics
1 answer:
Anni [7]2 years ago
8 0
<span>Remember the ratios
Linear = a : b
Area = a^2 : b^2
Volume = a^3 : b^3

Hence area ratios are 1008 : 1372
Becomes linear ratios of Sqrt(1008) : sqrt(1372) :: 31.749 : 37.040
Volume ratios becomes 31.749^3 : 37.040^3 :: 32002.96 : 50817.46

Hence

32002.96 / 50817.46 = Vol (S) / 1801 cm^3
Vol(s) = 32002.96 X 1801 / 50817.46 = 1134.20cm^3 ( nearest hundredth).

</span>
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bennett was visiting five cities that lie on a coordinate grid at A(-2,3), B(2,7), C(7,8), D(6,3) and E(2,-1). What is the midpo
bezimeni [28]

The midpoint between A and E is (0,1)

<h3>How to determine the midpoint between A and E?</h3>

The coordinates of the cities are given as:

A(-2,3), B(2,7), C(7,8), D(6,3) and E(2,-1).

From the above, we have:

A = (-2,3)

E = (2,-1)

The midpoint between A and E is calculated using

Midpoint = 1/2 * (x1 + x2, y1 + y2)

Substitute the known values in the above equation

Midpoint = 1/2 * (-2 + 2, 3 - 1)

This gives

Midpoint = 1/2 * (0, 2)

Evaluate the product

Midpoint = (0, 1)

Hence, the midpoint between A and E is (0,1)

Read more about midpoint at

brainly.com/question/5566419

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5 0
2 years ago
3x+9=1x what’s the slope and intercept form
tresset_1 [31]

Answer:

  this equation cannot be written in slope-intercept form

Step-by-step explanation:

The given equation is equivalent to ...

  2x +9 = 0 . . . . . subtract 1x

  x + 4.5 = 0 . . . . divide by 2

  x = -4.5 . . . . . . . the equation of a vertical line.

It has no y-intercept and its slope is undefined.

5 0
3 years ago
HELP I DONT KNOW HOW TO DO THIS
const2013 [10]
To find the circumference (c) use the formula (pi d) in other words 3.14 x diameter
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7 0
2 years ago
Ja'kniya and Alayjah are shopping at the Apple Store. Ja'kniya bought 4 screensavers and 3 Otterboxes for $29. Alayjah bought 6
Katarina [22]

Answer:  Each screensaver costs $2 and each Otterbox costs $7.

Step-by-step explanation:

Let x = Cost of each screensaver and y = cost of each Otterbox.

As per given, 4x+3y=29       (i)

6x +2y = 26  (ii)

Divide both sides of (i) by 2 and the multiply it by 3 on sides , we get

9x+3y=39    (iii)

Eliminate (i) from (iii) , we get

5x = 10

⇒ x = 2  [Divide both sides by 5]

Put value of x in (i), we get

4(2)+3y=29

⇒ 8+3y= 29

⇒ 3y= 21

⇒ y =7 [Divide both sides by 7]

Hence, Each screensaver costs $2 and each Otterbox costs $7.

7 0
2 years ago
20. What is the greatest prime factor of 3^7+6^6 ?
mario62 [17]

Answer:

67

Step-by-step explanation:

3^7 = 2187

6^6 = 46656

46656+2187=48843

Prime factors of 48843: 3, 3, 3, 3, 3, 3, 67

Factor tree:

48843

| \  

16281   3

| \  

5427   3

| \  

1809   3

| \  

603   3

| \  

201   3

| \  

67   3

3 0
2 years ago
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