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3 years ago

Which inequality is true?

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

8 0

Answer:

∠6 > ∠3 is TRUE.

Step-by-step explanation:

We know that acute angle is less than 90 degree while obtuse angle is more than 90 degree. By looking at the given angles, we can easily determine which angle is obtuse or acute. then we can decide which angle is bigger to find the answer.

∠10 > ∠7

FALSE;

Because∠10 is acute while ∠7 is obtuse.

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∠6 > ∠3

TRUE;

Because∠3 is acute while ∠6 is obtuse.

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∠9 > ∠11

FALSE;

Because∠9 is acute while ∠11 is obtuse.

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∠8 > ∠11

FALSE;

Because∠8 is acute while ∠11 is obtuse.

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A cylinder has a diameter of 14 cm and a volume of 112 pi.

vekshin1

Height of cylinder is 2.285 centimeters

Diameter = 14 cm
Radius = 7 cm (14/2)
Volume = 112 pi

Volume of cylinder = pi(radius)^2 h
112pi = pi(7)^2 h
Divide both sides
112 = 49 h
h = 112/49
h = 2.285 centimeters

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3 years ago

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Answer:

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Step-by-step explanation:

The 'a' value can be found by looking at the difference between the y-value of a point 1 unit from the vertex, and the y-value of the vertex.

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Using the point (3, 0), we have ...

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Answer:

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Step-by-step explanation:

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3 years ago

Prove 2√(x) + 1/√(x + 1) <= 2√(x+1) for all x in [0,inf)

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Start by multiplying each side of the inequality by $\sqrt{x + 1}$ and simplifying:

$2 \sqrt x + \frac{1}{\sqrt{x+1}} \leq 2 \sqrt{x + 1}$
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$2 \sqrt{x(x + 1)} + 1 \leq 2(x + 1)$
$2 \sqrt{x^2 + x} + 1 \leq 2x + 2$
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From here, we can square both sides to get

$x^2 + x \leq (x + \frac{1}{2})^2$
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3 years ago