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3 years ago

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1. Which statement is false?

1 answer:

kompoz [17]3 years ago

3 0

Answer:

Option C is false.

Step-by-step explanation:

A. We are given; 0.7 < 4/5

Now, 4/5 in decimal form is written as 0.8.

Thus,0.7 is less than 0.8. So statement is true.

B) We are given: 2/3 > 0.34

Now, 2/3 in decimal form is written as 0.67.

Thus,0.67 is greater than 0.34, so statement is true.

C) We are given: 2.26 > 214

214 is obviously greater than 2.26. Thus statement is false.

D) We are given: 35/6 > 37/8

Now, 35/6 in decimal form is written as 5.83.

Likewise, 37/8 is written in decimal form as 4.63

Thus,5.83 is greater than 4.63, so statement is true.

Finally, the only false one is Option C

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We substitute $x=r\cos \theta$ .

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2. The given rectangular equation is:

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This is the same as:

$x^2+y^2=6^2$

We use the relation $r^2=x^2+y^2$

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$r^2=6^2$

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3. The given rectangular equation is:

$x^2+y^2=2y$

This is the same as:

We use the relation $r^2=x^2+y^2$ and $y=r\sin \theta$

This implies that:

$r^2=2r\sin \theta$

Divide through by r

$r=2\sin \theta$

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We substitute $y=r\sin \theta$ and $x=r\cos \theta$

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$r\cos \theta=r\sin \theta$

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Step-by-step explanation:

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3 years ago