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Allushta [10]
3 years ago
12

Work out the volume of this prism?

Mathematics
1 answer:
qaws [65]3 years ago
4 0

Answer:

V = 300 cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the area of the base and h the height )

Here A = 15 and h = 20 , then

V = 15 × 20 = 300 cm³

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-3x(7x-4)+6x-(13-24x²)​
Margarita [4]

Answer:

  • 3x^2+18x-13.

Step-by-step explanation:

<u>Step 1:</u>

<em>Equation should be:</em>

  • ((0-(3x*(7x-4)))+6)-(13-(2^3*3x^2))

<u>Step 2:</u>

<em>Equation should be:</em>

  • ((0-3x*(7x-4))+6x)-(13-24x^2)

<u>Step 3:</u>

  • Factoring 3x^2+18x-13
  • The first term is 3x^2. It's coefficient is 3.
  • The middle term is +18x, it's coefficient is 18.
  • The last term, "the constant", is -13.

<em>Step 1</em>:

  • Multiply the coefficient of the first term by the constant   3 * -13 = -39

<em>Step 2:</em>

  • Find two factors of  -39  whose sum equals the coefficient of the middle term, which is 18 .
  •  -39    +    1    =    -38
  •      -13    +    3    =    -10
  •      -3    +    13    =    10
  •      -1    +    39    =    38
  • Observation : No two such factors can be found !!
  • Conclusion : Trinomial can not be factored

<u>Solution:</u>

  • <u />3x^2 + 18x - 13.

5 0
2 years ago
Read 2 more answers
Without using a​ calculator, determine between which two consecutive integers the square root lies. startroot 28.8 endroot
lutik1710 [3]
You know that
5² = 25
6² = 36
so √28.8 must lie between √25 = 5 and √36 = 6.
3 0
3 years ago
11. Find the slope of a line that passes through (3,-2) and (-4,-9).
kap26 [50]

Answer:

Hi... Your answer is... A=1

8 0
3 years ago
Read 2 more answers
Please help meee :((
astra-53 [7]

Answer:

49 +80= 129

180 - 129= 51

Opposite are equal.

Extend line of QR - so, the x shape made can be used to calculate what x is.

51 + 51 = 102

Reflex angles adds to 360

360-102= 258 of the other opposite angles left.

258/2 = 129 since opposite angles are equal.

Answer is 129 degrees

Hope this helps!

3 0
3 years ago
Find the volume of this sphere.<br> Round to the nearest tenth.<br> 16 ft<br> [ ? ] ft3
erastovalidia [21]

Answer:

<h2><em>2</em><em>1</em><em>4</em><em>4</em><em>.</em><em>7</em><em> </em><em>ft^</em><em>3</em></h2>

<em>Sol</em><em>ution</em><em>,</em>

<em>Diam</em><em>eter</em><em> (</em><em>d</em><em>)</em><em>=</em><em>1</em><em>6</em><em> </em><em>ft</em>

<em>Radius</em><em>(</em><em>r</em><em>)</em><em>=</em><em>8</em><em> </em><em>ft</em>

<em>Volume</em><em> </em><em>of</em><em> </em><em>sphere</em>

<em>=  \frac{4}{3} \pi \:  {r}^{3}  \\  =  \frac{4}{3}  \times 3.14  \times  {8}^{3}  \\  =  \frac{4}{3}  \times  3.14 \times 512 \\  = 2144.7 \:  {ft}^{3}</em>

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>

3 0
3 years ago
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