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3 years ago

Which describes the relationship between 20,000 and 200,000?

Mathematics

1 answer:

GenaCL600 [577]3 years ago

3 0

20,000 is less than 200,000 .

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Find the exact value of cot 330° in simplest form with a rational denominator.

Hoochie [10]

Answer:

$\cot 330^{\circ} = -\sqrt{3}$

Step-by-step explanation:

The cotangent function can be rewritten by trigonometric relations, that is:

$\cot 330^{\circ} = \frac{1}{\tan 330^{\circ}} = \frac{\cos 330^{\circ}}{\sin 330^{\circ}}$ (1)

By taking approach the periodicity properties of the cosine and sine function (both functions have a period of 360°), we use the following equivalencies:

$\sin 330^{\circ} = \sin (-30^{\circ}) = -\sin 30^{\circ}$ (2)

$\cos 330^{\circ} = \cos (-30^{\circ}) = \cos 30^{\circ}$ (3)

By (2) and (3) in (1), we have following expression:

$\cot 330^{\circ} = -\frac{\cos 30^{\circ}}{\sin 30^{\circ}}$

If we know that $\sin 30^{\circ} = \frac{1}{2}$ and $\cos 30^{\circ} = \frac{\sqrt{3}}{2}$ , then the result of the trigonometric expression is:

$\cot 330^{\circ} = -\frac{\frac{\sqrt{3}}{2} }{\frac{1}{2} }$

$\cot 330^{\circ} = -\sqrt{3}$

6 0

3 years ago

Russell has already taken 540 quizzes during past quarters, and he expects to have 5 quizzes

atroni [7]

Answer:

565

Step-by-step explanation:

5x5=25

540+25=565

6 0

3 years ago

In circle G with m \angle FGH= 86m∠FGH=86 and FG=16FG=16 units, find the length of arc FH. Round to the nearest hundredth.

Igoryamba

Answer:

13.96

Step-by-step explanation:

50/ 360 (2π16)

7 0

2 years ago

What is the converse of the following conditional statement?<br><br> If x = –10, then x2 = 100.

Usimov [2.4K]

The converse is: If x2=100, then x=-10

7 0

4 years ago

Read 2 more answers

What was hitler and german army trying to accomplish? complete sentences for a summary

Shalnov [3]

Hitler and the Nazis were trying to get as much power as possible they were trying to fix the wrong doings (in there opinion) of the previous German leaders the kaisers so this is why over the course of the moment from when Hitler was elected in 1933 he started to build up the army .
MAIN POINT: He aimed to persecute those of gypsy , Jewish and African or black origin and those with disabilities as he wanted to create his aryan race of pure Germans no this isn’t a summary but take the points out of this

4 0

3 years ago