1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kipiarov [429]
3 years ago
9

Please help quickly!!!!!!!!!!The area of the regular pentagon is 6.9 cm2. What is the perimeter? 2 cm 5 cm 10 cm 20 cm

Mathematics
2 answers:
pishuonlain [190]3 years ago
7 0
10
random words to fill up 20 character minimum for answering questions :P
kirill [66]3 years ago
7 0

Answer:

Option C is correct.

The perimeter of the regular pentagon is, 10 cm

Step-by-step explanation:

The formula for the area of n-sided regular polygon is given by;

A = \frac{s^2 \times n}{4 \times \tan(\frac{180}{n})}  ......[1]; where s is the length of the side and n is the number of side .

Given: Area of regular pentagon is 6.9 square cm.

Here, n =5

to find s;

Substitute the value of A and n in equation [1];

6.9 =\frac{s^2 \times 5}{4 \times \tan(\frac{180}{5})}

or

6.9 = \frac{s^2 \times 5}{4 \times \tan(36)}

or

6.9 \times 4 \times \tan(36)= s^2 \times 5

s^2 =\frac{6.9 \times 4 \times \tan(36)}{5}

Taking both side square root, we have;

s=\sqrt{\frac{6.9 \times 4 \times \tan(36)}{5}}

Simplify:

s = 2.00263 cm

or

s ≈ 2.00 cm

Therefore, the side of the length of regular pentagon is, s≈ 2.00 cm

Now, to find the perimeter of regular pentagon;

Use the formula:

Perimeter of regular pentagon(P) = 5 \times s where s is the side.

Substitute the value of s≈ 2.00 cm.

P = 5 \times 2.00 = 10 cm

therefore, the perimeter of the regular pentagon is; 10 cm

You might be interested in
I need help on how to do this as soon as possible please
AfilCa [17]

Answer:

11

Step-by-step explanation:

m∠1  = m∠2  {Corresponding angles}

78 - 2x = 89 - 3x

Add 3x to both sides

78 - 2x + 3x = 89

78 + x = 89

Subtract 78 from  both sides

x = 89 - 78

x = 11

6 0
3 years ago
Solve for x<br> 8x = -14
PSYCHO15rus [73]

Answer:

-7/4

Step-by-step explanation:

8x=-14

X=-14/8

X=-7/4

4 0
3 years ago
Read 2 more answers
A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected.
Finger [1]

Answer:

P(X=1)

And using the probability mass function we got:

P(X=1) = (5C1) (0.25)^1 (1-0.25)^{5-1}= 0.396

Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem  

For this cae that one buggy whip would be defective is p = \frac{5}{20}=0.25

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=5, p=0.25)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And we want to find this probability:

P(X=1)

And using the probability mass function we got:

P(X=1) = (5C1) (0.25)^1 (1-0.25)^{5-1}= 0.396

3 0
3 years ago
PLEASE HELP ME I WILL GIVE YOU POINTS
patriot [66]
The answer would be C because the y-intercept tells you what y when x is 0. In this case, y is wage and x is years of experience. So, if you have 0 years of experience you get an average of 7.25 dollars per hour, which is C.
8 0
3 years ago
Answers for the 2 boxes please:)​
masha68 [24]

Answer:

(5,-5)

Step-by-step explanation:

<u>Eliminate</u><u> </u><u>y-term</u>

(2x + 5x) + ( - 3y + 3y) = 25 + 10 \\ 7x = 35 \\ x =  \frac{35}{7}  \\  x = 5

We can eliminate x-term but for this system of equations, eliminating y-term is faster.

<u>Substitute</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>5</u><u> </u><u>in</u><u> </u><u>any</u><u> </u><u>given</u><u> </u><u>equations</u><u>.</u>

I will choose to substitute in the first equation.

2x - 3y = 25 \\ 2(5) - 3y = 25 \\ 10 - 3y = 25 \\ 10 - 25 = 3y \\  - 1 5 = 3y \\ 3y  =  - 15 \\ y =  - 5

<u>Answer</u><u> </u><u>Check</u>

Substitute both x-value and y-value in any given equations

2x - 3y = 25 \\ 2(5) - 3( - 5) = 25 \\ 10 + 15 = 25 \\ 25 = 25

The equation is true. (<em>It</em><em> </em><em>is</em><em> </em><em>better</em><em> </em><em>to</em><em> </em><em>check</em><em> </em><em>both</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>for</em><em> </em><em>both</em><em> </em>equation.)

Thus the answer is (5,-5)

6 0
3 years ago
Other questions:
  • The Inverse Function is one-to-one, find a formula for the inverse. (If anyone could explain how to find this mystical formula,
    5·1 answer
  • What is the first step to simplify the expression: [–23 – [5 · (2 – 4)]] ÷ 32
    10·2 answers
  • What is the solution to y + 7 = -9 A. y = -16 B. y = -2 C. y = 2 D. y = 16
    12·1 answer
  • Hi everyone , Would you help me please :
    11·1 answer
  • You buy a circular rug with a diameter of 8 feet how much floor space for the rug cover
    11·1 answer
  • Please help me out on this question :)
    12·1 answer
  • SURFACE AREA PLEASE HELP
    5·1 answer
  • In terms of geometric shapes, a slice of pizza closely resembles what?
    7·1 answer
  • work out the area of a circle with diameter 1.8cm. Take <img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title="\pi" al
    11·1 answer
  • If you have 12 donuts for $5.40, what is the cost of one donut
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!