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nordsb [41]
2 years ago
7

Which of the two numbers is a better estimate for the square root of 12? Explain.

Mathematics
1 answer:
valentina_108 [34]2 years ago
5 0

Answer:

3 < square root of 12 < 4

Step-by-step explanation:

When estimating square roots find the closest perfect square.

So the previous root of 12 is √9 because it is 3, and the next root is √16 which is 4.

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Using the converse of Pythagorean Theorem and the law of sines and cosines solve the word problem.
Helga [31]

Answer:

It's the law of cosines

Step-by-step explanation:

law of cosines states that c^{2} =a^{2} +b^{2} -2ab (cos(\alpha ))

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7 0
3 years ago
If there are 31,536,000 seconds in one year how many seconds are in a millennium
Naily [24]

A millennium is 1000 years.

Multiply the number of seconds in 1 year by 1000:

31,536,000 x 1,000 = 31,536,000,000 seconds.

5 0
3 years ago
Factorise this expression as fully as possible 14t^3 x 6t
kupik [55]
14t^3*6t
= (14*6)*(t^3*t)
= (2*7*2*3)*(t*t*t*t)
= 2*2*3*7*t*t*t*t
6 0
3 years ago
Let A and B be two events in a sample space S such that
klasskru [66]
P(A|B)<span>P(A intersect B) = 0.2 = P( B intersect A)

</span>A) P(A intersect B) = <span>P(A|B)*P(B)
Replacing the known vallues:
0.2=</span><span>P(A|B)*0.5
Solving for </span><span>P(A|B):
0.2/0.5=</span><span>P(A|B)*0.5/0.5
0.4=</span><span>P(A|B)
</span><span>P(A|B)=0.4
</span>
B) P(B intersect A) = P(B|A)*P(A)
Replacing the known vallues:
0.2=P(B|A)*0.6
Solving for P(B|A):
0.2/0.6=P(B|A)*0.6/0.6
2/6=P(B|A)
1/3=P(B|A)
P(B|A)=1/3
5 0
3 years ago
Your brother is 1313 your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Write and solve an e
il63 [147K]

There seems to be a typo. You wrote 1313, but I'm assuming you meant to say the fraction 1/3. If this assumption is correct, then continue with the rest of the solution. If the assumption is not correct, then ignore what I wrote below and please provide clarification of what the "1313" should represent. Thank you.

----------------

B = your brother's age

S = your sister's age

Y = your age

All of these ages are current present day ages.

---------------

"your brother is 1/3 your age" so B = (1/3)Y or B = Y/3.

"Your sister is 6 years older than your brother" so S = B+6

"Your sister is 10 years old" so S = 10.

---------------

S = B+6

B+6 = S

B+6 = 10 ... plug in S = 10

B+6-6 = 10-6 ... subtract 6 from both sides

B = 4

Your brother is 4 years old.

---------------

B = Y/3

Y/3 = B

Y/3 = 4 .... plug in B = 4

3(Y/3) = 3*4 ... multiply both sides by 3

Y = 12

<h3>Answer: Your age is 12 years old.</h3>

note: This answer hinges on assumption that the "1313" should be "1/3".

6 0
3 years ago
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