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3 years ago

Simplify a)3/7×28/15÷14/5 b)7/8+1/16-1/12

Mathematics

1 answer:

netineya [11]3 years ago

5 0

Answer:

a)2/7

b)41/48

Step-by-step explanation:

-Question A-

1) Rephrase the problem to look like this:

3/7*28/15*5/14 <-- when dividing fractions you actually multiply by the reciprocal (opposite)

2) Multiply across the above phrase:

420/1470

3) Simplify your fraction:

2/7

There is nothing else to be done with 2/7 and thus it is your final answer.

-Question B-

1) Get the denominator of all 3 fractions to the same Least Common Denominator (48):

42/48 + 3/48 - 4/48

2) Do the arithmetic in the phrase above:

41/48

41/48 cannot be simplified and thus is your final answer

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3 years ago

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Answer:

1,2 and 4 are conservatives

3 is not conservative

Step-by-step explanation:

We calculate the Curl F

Remember that:

Curl F = < $\frac{dFz}{dy} - \frac{dFy}{dz}, \frac{dFz}{dx} - \frac{dFx}{dz}, \frac{dFy}{dx} - \frac{dFx}{dy}$ >

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The potential function f so that ∇f=F

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2. Curl F = < 0, 0 ,0>

The potential function f so that ∇f=F

f(x,y,z) = $-3/2x^{2} -y^{2}+z$

Then F is conservative

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3 years ago

In the △PQR, PQ = 39 in, PR = 17 in, and the altitude PN = 15 in. Find QR.

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Answer:

So, this triangle PQR can be broken into two right triangles, PNQ and PNR, with legs PQ = 39, PN =15, and QN = ? and PR = 17, PN = 15, and NR =? respectively.

Let's solve for what is easier first:

Since we know that 5-15-17 is a Pythagorean triplet, we can infer that NR is 5....like I said earlier, it is a right triangle, so this guess holds true.

Here comes the interesting part:

Now, we have one part of QR, which is QN.

The other part can be solved by using the Pythagorean theorem.

It is (39^2-15^2)^(1/2)..which gives you 36, the square root of 1296, which happens to be the difference between the squares of 15 and 39.

SO, QR = QN + NR

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QR = 41.

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3 years ago

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