Find the GCF of 42 and 63

Mathematics

2 answers:

german2 years ago

7 0

Answer:

Step-by-step explanation:

Factor both numbers into their prime factors. Then pick the numbers that are in both.

42: 2*3*7

63:3*3*7

Which numbers are in both rows.

3 and 7

One more example would be good.

Suppose the two numbers were

45: 3*3 * 5

63:3 *3 * 7

In this example, there are two threes in both numbers. Both of them must be used for the GCF: 3*3 = 9

The GCF = 21 for your question.

Elanso [62]2 years ago

6 0

Answer:

Step-by-step explanation:

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matrenka [14]

Answer:

your answer is as follows

Step-by-step explanation:

5x+20=3x+60

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x=20

(equating the slopes)

8 0

3 years ago

How to solve this :') please help

blsea [12.9K]

Answer:

3/2

Step-by-step explanation:

sin(3π/4 - β) = sin(3π/4)cosβ - cos(3π/4)sinπ =

$\sin(\frac{3\pi}{4}-\beta)=\sin(\frac{3\pi}{4})\cos\beta-\cos\frac{3\pi}{4}\sin\beta\\=\frac{1}{\sqrt{2}}\cos\beta-(-\frac{1}{\sqrt{2}})\sin\beta\\\\=\frac{1}{\sqrt{2}}(\cos\beta +\sin\beta)\\\\\sin^2(\frac{3\pi}{4}-\beta)=\frac{1}{2}\cos\beta +\sin\beta)^2=\frac{1}{2}(\cos^2\beta +\sin^2\beta+2\sin\beta\cos\beta\\=\frac{1}{2}(1+\sin2\beta)=\frac{1}{2}(1-\frac{1}{5}) = \frac{2}{5}\\$