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blondinia [14]
3 years ago
6

Is the simplified form of 2 v3 · 2 v6 rational?

Mathematics
1 answer:
tatuchka [14]3 years ago
5 0

Answer:

No

Step-by-step explanation:

2√3 × 2√6

= 4√18

= 4√9*2

= 4( 2√2)

= 8√2

Just multiply the numbers under the radical together.  √3 × √6 = √18.  √18 can be written as √9*2, or 3√3.

√2 is irrational, so the answer will be irrational

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What is 1/8 times 2/7 in simplest form
PtichkaEL [24]

Answer:

decimal form: 0.0357

fraction form: 375/10000

Step-by-step explanation:

7 0
3 years ago
Which equation can be used to find B in the triangle below?
WINSTONCH [101]

9514 1404 393

Answer:

  (b)  tan B = 8/6

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relevant relationships:

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

Then angle B is involved in tangent and cosine relationships this way:

  tan B = 8/6 . . . . . . matches 2nd choice

  cos B = 6/10 . . . . . matches no choices

_____

<em>Additional comment</em>

Both of the offered cosine choices give a cosine value that is greater than 1. The cosine of a real angle is never greater than 1, so those can be rejected immediately.

8 0
3 years ago
Solve the system of equations and choose the correct order pair.
Aneli [31]

(2x + 4y = 14) \div 2 = x + 2y = 7
making x the subject
x = 7 - 2y
substitute into second equation
3(7 - 2y) + 12y = 51
by solving, y=5

substitute into first equation
2x + 4(5) = 14
by solving, x=-3

Therefore the ordered pair is (-3,5)

5 0
3 years ago
Pete saw that he was 200 yards from shore when he dove out of the boat. It took him 49 seconds to swim the first 50 yards. At th
Ivenika [448]

Answer:

147 seconds to get to the shore(after the 49 seconds)

Step-by-step explanation:

If Pete swam at a constant speed of 50 yards/49 seconds, you just have to multiply that by four, to get 200 yards. If you want the total time from his boat to shore, that is 196. If you want how much longer it would be, it would be 147 seconds

for minutes, just divide by 60

7 0
2 years ago
How many cups does it take to reach the empire state building which is 1454 ft and one cup is 3.7 ft?? show all the work
murzikaleks [220]
Alright so i divided 1,454 feet by two because ratios should be in lowest form and dividing 1545 by two would make it so that the 2 feet would be 1 foot
  well 24 inches is 2 feet right

I hope so i will helped 
3 0
3 years ago
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