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
bija089 [108]
3 years ago
14

A regular decagon has a side length of 4 centimeters long if the decagon is divided into 10 congruent triangles each has an appr

oximate height of 6.2 centimeters what is the approximate area of the decagon
Mathematics
1 answer:
ratelena [41]3 years ago
4 0
Area of decagon is given by:
Area=1/2(nsr)
where:
n=number of sides
s=side length
r=height
thus the area will be given by:
Area=1/2(10*4*6.2)
Area=124 cm^2
You might be interested in
Use the slope formula to find the slope of the line through the points (1, -2) and (-2,8).
lys-0071 [83]

Answer:

Step-by-step explanation:

(8 + 2)/(-2 - 1)= -10/3

6 0
3 years ago
mr. brown has 78 pencils. he gave them to 8 children so that each child gets the same number of pencils. how many does each chil
Vera_Pavlovna [14]

Each student got 9 pencils. Since 78/8= 9.75 you would round down since a student can't have 3/4th of a pencil.

3 0
4 years ago
According to a​ survey, 60 ​% of the residents of a city oppose a downtown casino. Of these 60 ​% about 8 out of 10 strongly opp
katrin [286]

Answer:

(a) 0.48

(b) 0.20

(c) it is not unusual for a radomly selected resident to oppose the casino and strongly oppose the​ casino.

Step-by-step explanation:

​(a) Find the probability that a randomly selected resident opposes the casino and strongly opposes the casino. ​

The probability that a radomly selected resident opposes the casino and strongly opposes the cassino is the product of the two probabilities, that a resident opposes the casino and that it strongly opposes the casino (once it is in the first group) as it is shown below.

Use this notation:

  • Probability that a radomly selected resident opposes the casino: P(A)

  • Probability that a resident who opposes the casino strongly opposes it: P(B/A), because it is the probability of event B given the event A

i) Determine the <em>probability that a radomly selected resident opposes the casino</em>, P(A)

Probability = number of favorable outcomes / number of possible outcomes

  • P(A) is <em>given as 60%</em>, which in decimal form is 0.60

ii) Next, determine,the <em>probability that a resident who opposes the casino strongly opposes it</em>, P(B/A):

  • It is given as 8 out of 10 ⇒ P(B/A) = 8/10

iii) You want the probability of both events, which is the joint probability or  intersection: P(A∩B).

So, you can use the definition of conditional probability:

  • P(B/A) = P(A∩B) / P(A)

iv) From which you can solve for P(A∩B)

  • P(A∩B) = P(B/A)×P(A) =  (8/10)×(0.60) = 0.48

(b) Find the probability that a randomly selected resident who opposes the casino does not strongly oppose the casino.

In this case, you just want the complement of the probability that <em>a radomly selected resident who opposes the casino does strongly oppose the casino</em>, which is 1 - P(B/A) = 1 - 8/10 = 1 - 0.8 = 0.2.

​(c) Would it be unusual for a randomly selected resident to oppose the casino and strongly oppose the​ casino?

You are being asked about the joint probability (PA∩B), which you found in the part (a) and it is 0.48.

That is almost 0.50 or half of the population, so you conclude it is not unusual for a radomly selected resident to oppose the casino and strongly oppose the​ casino.

8 0
3 years ago
You are graphing Square ABCDABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the square: A(4,
Vsevolod [243]

Answer:

D(4,-3)

Step-by-step explanation:

Given three of the vertices of the square: A(4, -7), B(8, -7),C(8, -3)

Let the coordinate of the fourth vertex be D(x,y).

We know that diagonals of a square are perpendicular bisector. So, the midpoint of both diagonals is the same.

The diagonals are BD and AC

Midpoint of BD = Midpoint of AC

\left(\dfrac{8+x}{2},\dfrac{-7+y}{2}\right) =\left(\dfrac{4+8}{2},\dfrac{-7+(-3)}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(\dfrac{12}{2},\dfrac{-10}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(6,-5\right)\\$Therefore$:\\\dfrac{8+x}{2}=6\\8+x=12\\x=12-8\\x=4\\$Similarly$\\\dfrac{y-7}{2}=-5\\y-7=-5*2\\y-7=-10\\y=-10+7=-3

The coordinates of the fourth vertex is D(4,-3)

8 0
3 years ago
Okay so i'm confused about this question. Write an inequality for the phrase ''two more than three times a number is at most 53.
Svetllana [295]

Answer:

3m +2≤ 53

Step-by-step explanation:

thats just how it goes logically

8 0
3 years ago
Other questions:
  • Thirty percent of what number is 63.
    8·2 answers
  • Use the graph below for this question: graph of parabola going through negative 2, 1 and 0, 1. What is the average rate of chang
    15·1 answer
  • TEA samples its test questions for the TAKS test every year by field testing the questions. they tell schools to test certain cl
    9·1 answer
  • Tyson is creating a scale drawing of the area of his school. the rectangular drawing shows the length as 20 inches and the width
    9·2 answers
  • Order of operation 24 - 8 ÷ 4
    10·2 answers
  • The equation 8.95 + c = 41.50 Can be used to find the cost of c in dollars of the sandals how much did the sandals cost?
    13·2 answers
  • From 1994 to 1995 the sales of a book decreased by 80%. If the sales in 1996 for the same as in 1994, By what percent did the in
    9·1 answer
  • For what value of a does (one-ninth) Superscript a + 1 Baseline = 81 Superscript a + 1 Baseline times 27 Superscript 2 minus a?
    15·2 answers
  • NEEED HELP ASAP
    10·1 answer
  • Please solve this math problem... I will mark you brainliest
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!