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Tanya [424]
1 year ago
9

What is 2 3/2 equal to?

Mathematics
1 answer:
kati45 [8]1 year ago
6 0

Answer:

  (a)  √8

Step-by-step explanation:

You want to know the radical equivalent to 2^(3/2).

<h3>Indices</h3>

The relationship of indices to radicals is ...

  \large{\sqrt[n]{a^m}}={a^{\frac{m}{n}}

<h3>Application</h3>

The given expression can be rewritten as ...

  2^{\frac{3}{2}}=\sqrt[2]{2^3}=\boxed{\sqrt[2]{8}}

__

<em>Additional comment</em>

When the index of the radical is 2, it is usually left off. The radical can be simplified by removing the perfect square factor.

  \sqrt[2]{8}=\sqrt{8}=2\sqrt{2}

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The coordinate of centroid of a triangle whose vertices are (1,3,-2), (4,5,0), (6,3,9) is = ……………….
Dominik [7]

Answer:

C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})

Step-by-step explanation:

Given

(x_1,y_1,z_1) = (1,3,-2)

(x_2,y_2,z_2) = (4,5,0)

(x_3,y_3,z_3) = (6,3,9)

Required

Determine the coordinates of the centroid

Represent the coordinates with C.

C is calculated as follows:

C = (\frac{1}{3}(x_1+x_2+x_3),\frac{1}{3}(y_1+y_2+y_3),\frac{1}{3}(z_1+z_2+z_3}))

Substitute values of x and y in the given equation

C = (\frac{1}{3}(1+4+6),\frac{1}{3}(3+5+3),\frac{1}{3}(-2+0+9}))

C = (\frac{1}{3}(11),\frac{1}{3}(11),\frac{1}{3}(7}))

C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})

<em>The above is the coordinate of the centroid</em>

8 0
3 years ago
A tennis racket at at sport city costs $180 and is discounted 15% the same model racket costs$200 at tennis world and is on sale
MaRussiya [10]
Mate, stop repeating questions, wait until your question has been answered.


15% of 180 is (180 * 0.15) = 27.

180 - 27 = $153 paid.


20% of 200 = (200 * 0.2) = 40.

200 - 40 = $160 paid.


Therefore Sport City offered the better deal.
4 0
3 years ago
Read 2 more answers
An electric bulb is sold in a box measuring 5 cm by 4 cm by 4 cm. If the shopkeeper receives them in a carton measuring 50 cm by
katen-ka-za [31]

Answer:

250

Step-by-step explanation:

Bulb box and carton both are of cuboidal shape.

<u>For bulb </u><u>box</u><u> </u><u>the </u><u>d</u><u>imensions</u><u> </u><u>are:</u>

  • l = 5 cm, w = 4 cm, h = 4 cm

  • V_{Bulb\: box} =lwh

  • \implies V_{Bulb\: box} =5(4)(4)

  • \implies V_{Bulb\: box} =80\: cm^3

<u>For </u><u>Carton </u><u>the dimensions are</u><u>:</u>

  • l = 50 cm, w = 20 cm, h = 20 cm

  • V_{Carton} =lwh

  • \implies V_{Carton} =50(20)(20)

  • \implies V_{Bulb\: box} =20,000\: cm^3

To find the number of bulbs packed in the carton, divide the V_{Carton} by V_{Bulb\: box}

  • Number \:of \:bulbs =\frac{V_{Carton}}{V_{Bulb\: box}}

  • \implies Number \:of \:bulbs =\frac{20,000}{80}

  • \implies Number \:of \:bulbs = 250

So, 250 bulbs will be packed in one carton.

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2 years ago
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Answer:

The price of today's bread is $7.

40% of $7 is $2.80.

The price of yesterdays bread is $7-$2.80.

7-2.80=4.20

The price of yesterday's bread is $4.20

Tobin has enough money to purchase a loaf of yesterday's bread.

Hope this helps!

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3 years ago
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