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3 years ago

How many sides of a polygon have if the sum of the measures of its angle is 2880?

1 answer:

4 0

Using the sum of interior angles formula;

(n-2)×180=sum
(n-2)×180=2880
n-2=2880/180
n-2=16
n=16+2
n=18

Therefore, this polygon would have 18 sides.

Hope I helped :)

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First question, thanks. I believe there should be 3 answers

zysi [14]

Given: The following functions

$A)cos^2\theta=sin^2\theta-1$ $B)sin\theta=\frac{1}{csc\theta}$ $\begin{gathered} C)sec\theta=\frac{1}{cot\theta} \\ D)cot\theta=\frac{cos\theta}{sin\theta} \\ E)1+cot^2\theta=csc^2\theta \end{gathered}$

To Determine: The trigonometry identities given in the functions

Solution

Verify each of the given function

$\begin{gathered} cos^2\theta=sin^2\theta-1 \\ Note\text{ that} \\ sin^2\theta+cos^2\theta=1 \\ cos^2\theta=1-sin^2\theta \\ Therefore \\ cos^2\theta sin^2\theta-1,NOT\text{ }IDENTITIES \end{gathered}$

$\begin{gathered} sin\theta=\frac{1}{csc\theta} \\ Note\text{ that} \\ csc\theta=\frac{1}{sin\theta} \\ sin\theta\times csc\theta=1 \\ sin\theta=\frac{1}{csc\theta} \\ Therefore \\ sin\theta=\frac{1}{csc\theta},is\text{ an identities} \end{gathered}$

$\begin{gathered} sec\theta=\frac{1}{cot\theta} \\ note\text{ that} \\ cot\theta=\frac{1}{tan\theta} \\ tan\theta cot\theta=1 \\ tan\theta=\frac{1}{cot\theta} \\ Therefore, \\ sec\theta\ne\frac{1}{cot\theta},NOT\text{ IDENTITY} \end{gathered}$

$\begin{gathered} cot\theta=\frac{cos\theta}{sin\theta} \\ Note\text{ that} \\ cot\theta=\frac{1}{tan\theta} \\ cot\theta=1\div tan\theta \\ tan\theta=\frac{sin\theta}{cos\theta} \\ So, \\ cot\theta=1\div\frac{sin\theta}{cos\theta} \\ cot\theta=1\times\frac{cos\theta}{sin\theta} \\ cot\theta=\frac{cos\theta}{sin\theta} \\ Therefore \\ cot\theta=\frac{cos\theta}{sin\theta},is\text{ an Identity} \end{gathered}$

$\begin{gathered} 1+cot^2\theta=csc^2\theta \\ csc^2\theta-cot^2\theta=1 \\ csc^2\theta=\frac{1}{sin^2\theta} \\ cot^2\theta=\frac{cos^2\theta}{sin^2\theta} \\ So, \\ \frac{1}{sin^2\theta}-\frac{cos^2\theta}{sin^2\theta} \\ \frac{1-cos^2\theta}{sin^2\theta} \\ Note, \\ cos^2\theta+sin^2\theta=1 \\ sin^2\theta=1-cos^2\theta \\ So, \\ \frac{1-cos^2\theta}{sin^2\theta}=\frac{sin^2\theta}{sin^2\theta}=1 \\ Therefore \\ 1+cot^2\theta=csc^2\theta,\text{ is an Identity} \end{gathered}$

Hence, the following are identities

$\begin{gathered} B)sin\theta=\frac{1}{csc\theta} \\ D)cot\theta=\frac{cos\theta}{sin\theta} \\ E)1+cot^2\theta=csc^2\theta \end{gathered}$

The marked are the trigonometric identities

3 0

1 year ago

Write the coordinates of a point whose Abcissa is -7 and ordinate is -2

Ksivusya [100]

Answer:

Abcissa = X, and Ordinate = Y

(-7,-2)

Is the answer

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2 years ago

Multiple the following Answer:

ExtremeBDS [4]

Answer:

1) 0.024

2) 0.033

3) 4.8

4) 0.16

5) 0.084

6) 0.14

Step-by-step explanation:

1. 3 x 0.008 = 0.024

2. 11 x 0.003 = 0.033

3. 12 x 0.4 = 4.8

4. 4 x 0.04 = 0.16

5. 12 x 0.007 = 0.084

6. 7 x 0.02 = 0.14

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2 years ago

Read 2 more answers

Joe has 5 more than twice as many calculators as John. Write an algebraic expression. *

yarga [219]

Answer:

B. 5 + 2p

Step-by-step explanation:

Let's simplify the problem:

Joe has 5 + more than 2(P) as many calculators as John.

*We'll be using Addition and Multiplication operations.

If Joe has 5 more than 2 times the amount of calculators, the algebraic expression will be:

$5 + 2p$

p represents John's amount of calculators.

5 + (5 more than) 2(P) Twice the amount of calculators John has.

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1 year ago

Help me plz its about algebra 1

kkurt [141]

A

Subtract 32 from both sides first, then divide both sides by 9/5

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2 years ago