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MissTica
2 years ago
6

Finding the area of a regular polygon​

Mathematics
1 answer:
ddd [48]2 years ago
5 0
<h2><u>Solu</u><u>tion</u><u>:</u></h2>

360° ÷ 10 ÷ 2 = 18°

So the length of the decagon side is:

10 × tan18° × 2 = 20 × tan18°

The area is: ½ × 20 × tan18° × 10 × 10 = 1000 × tan18°

≈ 324.9

.: <u>3</u><u>2</u><u>4</u><u>.</u><u>9</u> is the final answer.

<em>I</em><em> </em><em>h</em><em>ope</em><em> </em><em>this</em><em> helps</em><em>. </em>

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I need some help on this question please
artcher [175]

Answer:

  36, 32, 28, 24

Step-by-step explanation:

Fill in the values of n and do the arithmetic.

  a1 = 36 -4(1 -1) = 36

  a2 = 36 -4(2 -1) = 32

  a3 = 36 -4(3 -1) = 28

  a4 = 36 -4(4 -1) = 24

_____

You could recognize the formula as the specific case of the explicit formula for an arithmetic sequence with first term 36 and common difference -4. That tells you the second term is 36 -4 = 32, and each successive term is 4 less than the one before.

7 0
3 years ago
A clock radio phone cost 83.95. Tax is $4.49 for each radio phone how much do 3 clock radio phones cost
zimovet [89]

Step-by-step explanation:

If each clock radio costs $83.95 + taxes ($4.49), each clock radio has the real cost of $88.44

Therefore if you multiply the real cost of the 3 pieces, you'll get the result:

$88.44 x 3 = $265.32

Answer:

$265.32

5 0
3 years ago
Weekly salary: $650; earnings to date: $30,000.​
Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

30000/650= 46.15 weeks to accumulate $30000

ss tax rate is 12.4%

Medicare rate is 0.09%

30,000*12.4%= $3720

30,000*9%= $270

Total is $3990

Per pay period is

650*12.4%= $80.60

650*9%=$58.50

Total is $139.10

3 0
3 years ago
What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = x2 − 4x + 5, and what does it mean about the num
Aleksandr-060686 [28]
So discriminant gives us 3 possibilites connected with result of the equation b^2-4ac. If it is bigger than zero, there are 2 solutions, if answer is exactly 0, then there is one answer and if the number is lower than 0, there are no solutions.

Discriminant of your quadratic equation is (-4)^2-4*1*5=16-20=-4, so there are no solutions.
3 0
3 years ago
Read 2 more answers
Given: KL ║ NM , LM = 45, m∠M = 50° KN ⊥ NM , NL ⊥ LM Find: KN and KL
Mice21 [21]

Answer:

KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08\\ \\KN=45\sin 50^{\circ}\approx 34.47

Step-by-step explanation:

Given:

KL ║ NM ,

LM = 45

m∠M = 50°

KN ⊥ NM  

NL ⊥ LM

Find: KN and KL

1. Consider triangle NLM. This is a right triangle, because NL ⊥ LM. In this triangle,

LM = 45

m∠M = 50°

So,

\tan \angle M=\dfrac{\text{opposite leg}}{\text{adjacent leg}}=\dfrac{NL}{LM}=\dfrac{NL}{45}\\ \\NL=45\tan 50^{\circ}

Also

m\angle LNM=90^{\circ}-50^{\circ}=40^{\circ} (angles LNM and M are complementary).

2. Consider triangle NKL. This is a right triangle, because KN ⊥ NM . In this triangle,

NL=45\tan 50^{\circ}

m\angle KLN=m\angle LNM=40^{\circ} (alternate interior angles)

m\angle KNL=90^{\circ}-40^{\circ}=50^{\circ} (angles KNL and KLN are complementary).

So,

\sin \angle KNL=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{KL}{LN}=\dfrac{KL}{45\tan 50^{\circ}}\\ \\KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08

and

\cos \angle KNL=\dfrac{\text{adjacent leg}}{\text{hypotenuse}}=\dfrac{KN}{LN}=\dfrac{KN}{45\tan 50^{\circ}}\\ \\KN=45\tan 50^{\circ}\cos 50^{\circ}=45\sin 50^{\circ}\approx 34.47

3 0
3 years ago
Read 2 more answers
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