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earnstyle [38]
3 years ago
15

3/√3 how to get final answer? Is it like this 3=√3*√3 And √3*√3/√3= √3

Mathematics
2 answers:
Tresset [83]3 years ago
8 0

Answer:

\sf   \sqrt{3}

Step-by-step explanation:

\sf =  \frac{3}{ \sqrt{3} }

\sf =  \frac{3}{ \sqrt{3} }  \times  \frac{ \sqrt{3} }{ \sqrt{3} }

\sf =  \frac{3 \sqrt{3} }{( \sqrt{3} \times  \sqrt{3})  }

\sf =  \frac{3 \sqrt{3} }{3}

\sf =  \frac{ \cancel{3} \sqrt{3} }{ \cancel3}

\sf =  \sqrt{3}

liubo4ka [24]3 years ago
6 0
<h2>>> Answer </h2>

__________

\:

\frac{3}{ \sqrt{3} }  = ...

=  \frac{3}{ \sqrt{3} }  \times  \frac{ \sqrt{3} }{ \sqrt{3} }

=  \frac{3 \sqrt{3} }{( \sqrt{3}) {}^{2}  }

=  \frac{3 \sqrt{3} }{3}

=  \bold {\sqrt{3} }

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Suzanne drives 180 miles in 3 hours. What is her average speed in miles per hour?
Nana76 [90]

Answer: 180 miles x 3 hours = 540

540/2 = 270

270 is the average speed

Step-by-step explanation:

7 0
2 years ago
Two corresponding sides of similar triangles are 2 cm and 5 cm. What is the area of the second triangle if the area of the first
Stella [2.4K]

Answer:

(1) Area of second triangle= 50 cm^2.

(2) Area of ΔABC=98 cm^2.

   and Area of ΔDFG=175 cm^2.

Step-by-step explanation:

<em>" For two similar triangles the ratio of sides is equal to the ratio of square of their areas".</em>

i.e. if a,b are the corresponding sides of two similar triangles and let A and B denote the area of two triangles then we have the relation as:

\dfrac{a^2}{b^2}=\dfrac{A}{B}

(1)

for the first question:

we have a=2, b=5.

A=8 cm^2.

Hence,

\dfrac{2^2}{5^2}=\dfrac{8}{B}\\\\\dfrac{4}{25}=\dfrac{8}{B}

B=50 cm^2.

Hence, the area of second triangle is 50 cm^2.

(2)

In second option we have:

a=6 and b=5.

A-B=77 cm^2.

A=77+B

\dfrac{6^2}{5^2}=\dfrac{A}{B}\\  \\\dfrac{36}{25}=\dfrac{77+B}{B}\\  \\36B=25\times77+25B\\\\36B-25B=25\times77\\\\11B=25\times77\\\\B=25\times7\\\\B=175

Hence area of second triangle i.e. ΔDFG is 175 cm^2.

and area of first triangle i.e. ΔABC=175-77=98 cm^2.




8 0
2 years ago
Suppose that you have eight cards. Five are green and three are yellow. The five green cards are numbered 1, 2, 3, 4, and 5. The
Marina86 [1]

Answer:

Step-by-step explanation:

Given that you have eight cards. Five are green and three are yellow. The five green cards are numbered 1, 2, 3, 4, and 5. The three yellow cards are numbered 1, 2, and 3. The cards are well shuffled. You randomly draw one card.

G = card drawn is green

Y = card drawn is yellow

E = card drawn is even-numbered

List:

Sample space = {G1, G2, G3, G4, G5, Y1, Y2, Y3}

2) P(G) = 5/8

3) P(G/E) = P(GE)/P(E)

GE = {G2, G4}

Hence P(G/E) = 2/5

4) GE = {G2, G4}

P(GE) = 2/8 = 1/4

5) P(G or E) = P(G)+P(E)-P(GE)

= 5/8 + 3/8-2/8 = 3/5

6) No there is common element as G2 and G4

Cannot be mutually exclusive

6 0
3 years ago
Cindy has $60 in her bank account while Eric has $400 in his bank account. Cindy deposits
Reika [66]

Answer:

i think its c

Step-by-step explanation:

6 0
3 years ago
If coal is mined at $35.99 per short ton, how much is the price per kg? Use dimensional analysis to solve. 1 short ton = 907 kg.
cricket20 [7]

The cost of 1kg of coal mined from the ore is $0.0397

Data;

  • 1 ton = $35.99
  • 1kg = ?

<h3>The Cost of 1kg of Coal</h3>

To find the cost of 1kg of coal, we can simply and equate 1 ton to its equivalent in ton and the solve.

1ton = 907kg\\

let's write this and equate it

1 ton = $35.99

907kg = $35.99

1kg = x

Let's cross multiply both sides and solve for x

907kg = \$35.99\\1kg = x\\x = \frac{1 * 35.99}{907} \\x = \$0.0397

The cost of 1kg of coal is $0.0397

Learn more on proportions here;

brainly.com/question/870035

3 0
2 years ago
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