The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circle is 5 cm. Find the area of the quadrilateral

Answers

Answer 1

Answer:

60cm^2

Step-by-step explanation:

We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...

 K = sr

where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.

 K = (12 cm) (5cm) = 60 cm²

_____

A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.


Related Questions

Grandma received 0.25 liters of medicine from her doctor. The directions asked her to take one teaspoonful 3 times daily until it is finished. A full teaspoon has a capacity of 4 ml. Grandma started taking her medicine on November 20th. What date should the medicine finish?

Answers

Answer:

Dec 10

Step-by-step explanation:

0.25 liter = 250 ml

4 ml * 3 = 12 ml

250/12 = 20.83 days

Nov 20 - Nov 30: 11 days

Dec 1 - Dec 9: 9 days

On December 9, she can still take her 3 doses.

By December 9, she will have taken 12 ml per day for 20 days for a total of 240 ml. She has 10 ml left for Dec 10th.

On Dec 10, she will take 2 doses of 4 ml and 1 dose of 2 ml, and she will finish the medicine.

Finnhas$60inasavingsaccount.Theinterestrateis10%peryearandisnotcompounded.Howmuchinterestwillheearnin1year?

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

I = $ 6.00

Step-by-step explanation:

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 60 × 0.1 × 1 = 6

I = $ 6.00

The simple interest accumulated

on a principal of $ 60.00

at a rate of 10% per year

for 1 years is $ 6.00.

Solve it below:
...............

Answers

Answer:

i.+25

ii.+18

iii.-10

Step-by-step explanation:

hope this helps

Answer and step-by-step explanation:

We need to show the increase or decrease in Andre's money by representing it through a number.

i. His uncle gave him $25 as a present

This would be +$25

ii. He earned $18 dollars tutoring

This would be +$18

iii. He spent $10 on a book

This would be -$10

A picture 10 feet long is to be centered on a wall that is 14 feet long. How much space is there from the edge of the wall to the picture?

Answers

Answer:

4 feet is left in the wall

Step-by-step explanation:

If something is 1 foot and it’s supposed to be 2 feet, how much space is left? 1 foot, therefore you have to subtract what you want from what you have.

Answer:

2 ft.

Step-by-step explanation:

14 - 10 = 4.

4/2 = 2

You divide beacuse theres space on botrhsides of the painting.

Jax played baseball. His batting average for the season was 0.362. What is his batting average in the expanded form

Answers

Answer:

Jax should quit baseball hes bad at it

Step-by-step explanation:

Find the value of x

Answers

B

as a traingle is 180 degrees

2x+72=180
2x=180-72
2x=108
x=108/2
x=54 degrees

An airplane is flying 4 miles directly over your house. The distance between your house and the airport is 12 miles. How far apart are the airplane and the airport?

Answers

Answer:

c=7.180 miles. 2. Jack is on one side of a 200-foot-wide canyon and Jill is on the other. Jack and Jill can both ... a=2.947 miles. 5. Airplane A is flying directly toward the airport which is 20 miles away. The pilot notices ...

what is the definition of corresponding sides​

Answers

Answer:

Corresponding sides touch the same two angle pairs.

Step-by-step explanation:

Answer:

In a pair of similar triangles, the corresponding sides are proportional. Corresponding sides touch the same two angle pairs.

When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number.

Please help givin brainliest

Answers

Answer:

Answer H

Step-by-step explanation:

the answer i think is


H

Paisley is going to invest $28,000 and leave it in an account for 14 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Paisley to end up with $74,000?

Answers

Answer:

r=7

Step-by-step explanation:

74000=28000(1+r/12)^12(14)

divide 74000 by 28000, and cancel out 28000.

1.00580=1+r/12

(100) .06962=r

r = 6.96198

the 6 after the 9 rounds 9 to 0, which rounds the 6 to 7

r=7


Identify the equation that correctly shows the given relationship.

Answers

It’s A he is correct and have a good day

math pre calc, transformation of radical functions
PLEASE HELP GOT TO HAND THIS IN SOON IM CONFUSED.
I WILL VENMO ANYONE WITH GOOD ANSWERS ​

Answers

Answer:

Im pretty sure you can just search this up number by number and you will find all the answers

what does venerable mean​

Answers

Answer:

accorded a great deal of respect, especially because of age, wisdom, or character.

"a venerable statesman"

Similar:

respected

venerated

revered

reverenced

Step-by-step explanation:

Hope it helps u , Good luck ^.^

In the figure ,PS bisects angle RPT.If PS//QR then prove that:PQ=PR​

Answers

5839394849393959493933994493

Two groups of school children had their forearm lengths measured. Dot plots are provided showing these results.


a
Group Y. There were 6 children who had a forearm length that measured longer than 12 inches.

b
Group X. There were 4 children who had the lowest forearm length of 10 inches in this group.

c
Group X. None of the children in this group had a forearm length longer than 12 inches.

d
Group Y. One child in this group had the smallest forearm length of 10 inches.

Answers

Answer:

Stament a, b, and c are correct.

Statement d is INCORRECT.

Step-by-step explanation:

Based on the dot plots given, the following statements are true and correct:

✔️Statement A is correct

Rationale: in the dot plot representing group Y, there are 6 dots on number 13. These shows that 6 children have an arm length of 13 inches. This means that there are actually 6 children who had a forearm length that measured longer than 12 inches.

✔️Statement b is correct:

Rationale: the lowest forearm length displayed on the dot plot for group X is 10 inches, represented by 4 dots.

✔️Statement c is correct:

Rationale: the dot plot for group X shows that the maximum arm length recorded for group X was 12 inches. Therefore no child in group X has a forearm length that is longer than 12 inches.

❌Statement d is NOT CORRECT

Rationale: the dot plot for group Y shows that 2 children had the smallest forearm length of 11 inches.

А Campus athletics is interested in the proportion of registered students living on campus who play basketball recreationally during the semester. They take a random sample of 198 registered students listed as living in campus housing and ask each whether or not they do so. A 95% confidence interval is correctly calculated from this data as (0.12, 0.18). Which of the following is the correct interpretation of this confidence interval ?
a. None of these are correct.
b. We are 95% confident that the proportion of the 198 sampled students that actually play basketball is between 0.12 and 0.18
c. We are 95% confident that, among the population of students that play basketball recreationally, the proportion who live on campus is between 0.12 and 0.18.
d. The sample proportion of on-campus students that play basketball will be between 0.12 and 0.18 in 95% of samples of size 198

Answers

Answer:

c. We are 95% confident that, among the population of students that play basketball recreationally, the proportion who live on campus is between 0.12 and 0.18.

Step-by-step explanation:

According to the question, it is mentioned that there is 95% confidence interval and it is calculated (0.12,0.18)

So the correct interpretation is that they are 95% confident that the students who play basketballs the proportion should lies between 0.12 and 0.12

So, the option C is correct

The rest of the options are wrong

) Cars are parked in line as they come off the assembly lines. There are three models: red cars which take up 2 spaces, blue cars which also take up 2 spaces, and green cars which take up only 1 space. Let an be the number of ways of filling the first n parking spaces with red, blue and green cars.

Answers

Answer:

Hello your question has some missing information below is the complete question

answer :

[tex]a_{n} = a_{n-2} + a_{n-2} + a_{n-1}[/tex]

Step-by-step explanation:

Red car and Blue car take up 2 spaces each

Green cars take up 1 space

lets determine the number of ways of filling up the parking spaces

i) First lets assume the last space is filled by Green car then there will be [tex]n^{th}[/tex] space occupied hence there will be ( n - 1 ) spaces left to be filled in [tex]a_{n-1}[/tex] ways

ii) lets assume the last space is filled by either a Red car or a Blue car then there will be [tex]n^{th} + ( n -1 )^{st}[/tex]  parking space occupied hence there will be

( n - 2 ) spaces left to be filled in [tex]a_{n-2}[/tex] ways

Hence A closed formula for [tex]a_{n}[/tex]

[tex]a_{n} = a_{n-2} + a_{n-2} + a_{n-1}[/tex]

where : a1 = 1 way ,  a2 = 3 ways

3) Determine the greatest common factor between
Xy2 and x6y2

Answers

Answer:

it would be GCF= xy^2

Step-by-step explanation:

because you have to put the lowest variable for the GCF, therefore, its only 1 x and then y^2

Question 1 of 10
What is the solution to this equation?
9x - 4(x - 2) = x + 20
A. X = 3
B. X = 7
C. X = -7
D. X = -3

Answers

Step-by-step explanation:

daddgeyeyeyeye daddd daddy safdad papap

A. x=3
9(3)-4(3-2)=3+23
23=23

how many square feet is in a acre

Answers

43,560 is the answer
43560 square feet in an acre

Kianna started her homework at 4:30 pm. She finished at 5:05 pm. How many SECONDS did it take her to finish her homework? *
1 point

Answers

Answer:

2100 second

Step-by-step explanation:

4:30 pm to minutes

4 × 60 + 30 = 240 + 30

= 270 minutes

5:05 to minutes

5 × 60 + 5 = 300 + 5

= 305

4:30 to 5:05

305 - 270

= 35 minutes

35 minutes to second

35 × 60

= 2100 second

Answer:

2100

Step-by-step explanation:

25 minutes you need to know that 60 sec =1 hour.35x60=2100

Can you help me answer this question???????

Answers

3^10/ 3^-2
3^12
good luckkkk

Answer:

3^12

Step-by-step explanation:

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.

Answers

Answer:

Let x be the number of 3- point questions and y be the number of 5-points questions.

Step-by-step explanation:

Help me please sjsjdjs it’s due in a few minutes

Answers

Answer:

The answer is the 3rd dot.

Step-by-step explanation:

hope this helps

Answer:

The one right below 8

Step-by-step explanation:

A 2003 study of dreaming found that out of a random sample of 111 people, 93 reported dreaming in color. However, the rate of reported dreaming in color that was established in the 1940s as 0.24. Check to see whether the conditions for using a one-proportion z-test are met assuming the researcher wanted to test to see if the proportion dreaming in color had changed since the 1940s. Are the conditions met?
A. No, the observations are not independent.
B. Yes, all the conditions are met.
C. No, the sample size is not large enough to produce at least 10 successes and 10 failures.
D. No, the population is not more than 10 times bigger than the sample size.

Answers

Answer:

B. Yes, all the conditions are met.

Step-by-step explanation:

According to the question

There is a random sample of 111 people also these people are independent

The population size is also not given so we assume that it should be on infinity i.e. it should be more than 10 times higher as compared with the sample size

And, the number of success in the sample is 93

So, the number of failure would be

= 111 - 93

= 18

So, the 93 and 18 would be higher than 10

Therefore, the option b is correct

evaluate: (_1_i)^(5/3)​

Answers

Answer:

(

1

)

(

5

/

3

)

Step-by-step explanation:

pls help i dont have much time

ILL GIVE BRAINLIEST TO WHOEVERS ANSWER IS RIGHT

THE ANSWER IS WORTH 100 POINTS

Answers

Answer:

HI! MARK ME BRAINLIEST!

Step-by-step explanation:

Your answer will be 25! Just think of it! You'll get it

Find the roots. 2x^2+7x-15=0

Answers

Root 1= 3/2
Root 2= -5

Answer

3/2, -5

Step-by-step explanation:

Nicole received the following scores on her last 10 math assignments.

Answers

Answer: 89

Step-by-step explanation:

right on edge

Find the GCF of the terms of the polynomial.
1424 - 7023 + 1022

Answers

The answer is 10,176 that is the answer
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