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timofeeve [1]
3 years ago
15

Use the circles below to find the GreatestCommon Factor (G.C.F.) of 72 and 64​

Mathematics
1 answer:
KengaRu [80]3 years ago
3 0

Answer:

8

Step-by-step explanation:

First find all factors of 72 and 64 and put them in their respective circles

The factors of 72: 1,2,3,4,6,8,9,12,18,24,36,72

The factors of 64: 1,2,4,8,16,32,64

Now find the factors that both numbers share.

Common factors: 1,2,4,8

The greatest common factor of 72 and 64 is 8.

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With reference to the figure, sin X equals?<br> 1.) 0.250<br> 2.)0.447<br> 3.)0.894<br> 4.)1
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Answer:

3.) 0.894

Step-by-step explanation:

✔️First, find BD using Pythagorean Theorem:

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BD² = 17.89² - 16²

BD² = 64.0521

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✔️Next, find AD using the right triangle altitude theorem:

BD = √(AD*DC)

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Square both sides

8² = AD*16

64 = AD*16

Divide both sides by 16

4 = AD

AD = 4

✔️Find AB using Pythagorean Theorem:

AB = √(BD² + AD²)

AB = √(8² + 4²)

AB = √(64 + 16)

AB = √(80)

AB = 8.9 (nearest tenth)

✔️Find sin x using trigonometric ratio formula:

Reference angle = x

Opposite side = BD = 8

Hypotenuse = AB = 8.944

Thus:

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Simplify the following expression 4 + 3 . 7
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