3 years ago

Simplify 24x5y2z10 / 16x3y z5 Show your work.

Mathematics

1 answer:

svetoff [14.1K]3 years ago

6 0

Answer:

3/2 x^2 y z^5

Step-by-step explanation:

24x^5y^2z^10 / 16x^3y z^5

split into pieces

24/16 * x^5/x^3 y^2/y z^10/z^5

when dividing exponents with the same bases, we subtract the exponents

3/2 x^(5-3) y^(2-1) z^(10-5)

3/2 x^2 y^1 z^5

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2 years ago

What is the length of missing side JK? Round Answer to nearest tenth please.

zvonat [6]

Given:

Triangle LJK.

LJ = 89 in, LK = 28 in and m∠L = 42°

To find:

The length of missing side JK.

Solution:

LJ = k = 89

LK = j = 28

JK = l = ?

Using law of cosine:

$l^{2}=j^{2}+k^{2}-2 jk \cdot \cos L$

Substitute the given values.

$l^{2}=28^{2}+89^{2}-2 \cdot 28 \cdot 89 \cdot \cos 42^\circ$

$l^{2}=784+7921-4984 \cdot (0.7)$

$l^{2}=784+7921-4984 \cdot (0.7431)$

$l^{2}=784+7921-3703.6$

$l^{2}=5001.4$

Taking square root on both sides.

$l=70.7$

The length of the missing side is 70.7 in.

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