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SVETLANKA909090 [29]
1 year ago
10

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the inequality. E

xplain all steps and identify the properties used. 3a - 4 < 5 ►
Mathematics
1 answer:
Naily [24]1 year ago
3 0
\begin{gathered} 3a-4

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105,159 rounded to the nearest ten thousand
Dima020 [189]
105,159 rounded to the nearest ten thousand is 100,000
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Pls help :( I’m so stuck in this
hodyreva [135]

Answer:

  • 99.6 ft²

Step-by-step explanation:

<u>Three faces are equal triangles with:</u>

  • base = 8 units, height = 6 ft

<u>The base is a triangle with:</u>

  • base = 8 ft, height = 6.9 ft

<u>Surface area is sum of areas of 4 faces:</u>

  • S = 3*(1/2*8*6) + 1/2*8*6.9 = 99.6 ft²
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X over 3 is less then or equal to 5
Trava [24]

Answer:

x/3 ≤ 5

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2 years ago
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The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm^3, find the volume of th
Darina [25.2K]

Answer:

  • 1809 cm³

Step-by-step explanation:

<u>Given the scale factor:</u>

  • k = h/H = 1/3

Since the cylinders are similar, the other dimensions should have same scale factor of 1/3.

<u>The volumes are:</u>

  • v = 67 cm³
  • V = x

<u>Ratio of volumes is the cube of the scale factor, as the volume is the product of 3 dimensions:</u>

  • v/x = k³
  • 67/x = (1/3)³
  • x = 67*27
  • x = 1809 cm³

7 0
2 years ago
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Can someone help me with this?​
Anna35 [415]

Answer:

Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms

Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728

Now,

Sum =  \frac{a( {r}^{n} - 1) }{(r - 1)}   \\

So,

\frac{a( {r}^{n} - 1)}{(r - 1)}  = 728 \\  \frac{2( {3}^{n} - 1) }{(3 - 1)}  = 728 \\  \frac{2( {3}^{n} - 1) }{2}  = 728 \\  {3}^{n}  - 1 = 728 \\ {3}^{n}=728+1\\ {3}^{n}  = 729 \\  {3}^{n}  =  {3}^{6}  \\ \boxed{ n = 6}

Therefore, number of terms is 6

  • 6 is the right answer.
3 0
2 years ago
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