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

what is the square root of 41 rounded to the tenths place?
6.4
6.5
6.403
6​

Answers

Answer:

6.4

Step-by-step explanation:

100 POINTS!!!! CAN ANYONE PLEASE HELP ME OUT WITH THIS??!!

Answers

The two boats picked for the trip are the steamboat and the tall ship. Let us assume that we will take the steamboat going to the island, and then we will take the tall ship for the return trip. We will then relate the distances travelled by both ships to each other.

2. We know that the steamboat takes five hours to complete the trip. The tall ship takes more time, at ten hours to complete the trip. We do not have the exact speeds of the steamboat or of the tall ship, but we do know that the tall ship is 10 knots slower than the steamboat. We likewise do not know the exact distance travelled by either ship, but we do know that both travel the same distance. We want to find out how fast each boat travels. We expect the answers to be in knots, with a difference of 10.

3. We know that distance is equivalent to the product of speed of a boat multiplied by the time of travel. For the trip going to the island, we will use the steamboat. Let its speed be x knots (equivalent to x nautical miles per hour), and let the distance going to the island be d nautical miles. Given that the time takes is 5 hours, this means that d = 5x.

4. If we let x be the speed of the boat you are taking to the island (the steamboat), then we know that the speed of the other boat (the tall ship) is 10 knots less than the steamboat's. So the speed of the tall ship (for the return trip) is (x - 10) knots.

5. Similar to part 3: we will multiply speed by time to determine the distance from the island. From part 4, we have determined that the speed of the tall ship to be used in returning is (x - 10) knots. Meanwhile, the given in the problem says that the tall ship will take 10 hours to make the trip. Therefore the distance will be equal to d = 10(x - 10) = 10x - 100 nautical miles.

6. We can assume that the distance travelled going to the island is the same distance travelled coming back. Therefore, we can equate the formula for distance from part 3 for the steamboat, to the distance from part 5 for the tall ship.
5x = 10x - 100

7. Solving for x: 5x = 10x - 100
-5x = -100
x = 20
Since x is the speed of the steamboat, x = 20 means that the steamboat's speed is 20 knots.

8. We determined in part 4 that the speed of the second boat (in our case, the tall ship) is (x - 10) knots. Since we have calculated in part 7 that the steamboat travels at x = 20 knots, then the speed of the tall ship is (x - 10) = 20 - 10 = 10 knots.
THESE ARE JUST ANSWERS I FOUND ONLINE TO SEE IF THEY HELP YOU IF THEY DONT IM SORRY

(-∞,0]
[0,∞)
[-∞,0)
(-∞,0)
which is the answer?

Answers

I think it is the third one

help please i cant fail this class please help​

Answers

Answer:

14. x=1, x=−9

x^2 + 8x + 20 = 29

x^2 + 8x + 4^2 = 9 + 4^2

(x + 4)^2 = 25

x + 4 = ± 5

15. x = -1/2, x = -3/2

4x^2+8x+3=0

x = -8 ± √8^2-4x4x3/2x4

x = -8 ± √64-4x4x3/2x4

x = -8 ± √64-16x3/2x4

x = -8 ± √64-48/2x4

x = -8 ± √16/2x4

x = -8 ± √4/2x4

x = -8 ± √4/8

x = -4/8

x = -1/2

x = -12/8

x = -3/2

16. -36

Use the values of  a,  b, and  c  to find the discriminant.

17. x=2, x=−2

3x^2 + 5 = 17

3x^2 + 5 - 17 = 0

3x^2 - 12 = 0  

x^2 - 4 = 0

(x−2)(x+2)=0

x=2  x=−2

18. x=12 , x=−12

x^2 = 144

x^2 - 144 = 0

(x−12)(x+12)=0

x=12,  x=−12

19. x=2√5+3, x=3−2√5  

x−3=2√5

x−3=−2√5

x−3−(−3)=2√ 5−(−3)

x−3−(−3)=−2√5−(−3)

x=2√ 5−(−3)

x=−2√5−(−3)

x=2√5+3

x=3-2√5

20. t = -√24-h/4+1, t = √24-h/4+1, h≤24

Word bank:

A) zeroes

B) axis of symmetry

C) y-value of the vertex

Step-by-step explanation:

I hope this helps!

Juan buys peaches and grapefruit at the store. He writes the equations shown to model the relationship between the number of pounds of peaches, p, and the number of pounds of grapefruit, g, that he buys.

p+g=2.5

1.58p+1.09g=3.46

Answers

Answer:

Answer: 2.5

Step-by-step explanation:

Juan buys peaches and grapefruit at the store. He writes the equations shown to model the relationship between the number

pounds of peaches, p, and the number of pounds of grapefruit, g, that he buys.

p + g= 2.51.58p + 1. 09g = 3. 46

What is the total number of pounds of peaches and grapefruit that Juan buys?

What is the answer for x+6x

Answers

Answer:

The answer is 7x

Step-by-step explanation:

The x is the coefficent and every x has a coefficent  even if it doesn't have  number because the coefficent   represent how many x's there are so it is one x plus 6 x and that equal seven x. The x can be anything but one of something plus 6 equals 7.

For the following right triangle, find the side length x, Round your answer to the nearest hundredth.
12
x
16

Answers

Answer:

10.6. (3s.f.)

Step-by-step explanation:

You can search it on googlr

I need help with this. (15 points)

Answers

9514 1404 393

Answer:

  min: $65

  per hour: $7.50

Step-by-step explanation:

The equation tells you Monica expects her pay to be $65 when she works 0 hours. That will be the minimum.

  y = 7.5·0 +65 = 65 . . . for 0 hours

It also tells you the pay is expected to go up by $7.50 if she works 1 hour. That will be her hourly rate.

  y = 7.5·1 +65 = 72.5 . . . for 1 hour; an increase of 7.50 over the minimum.

Minimum pay: $65

plus $7.50 per hour

Help me please and thank

Answers

the answer would be 13.89

Answer:

Step-by-step explanation:

well just go throught the factors as far as you can ik from my personal mindset that 14*14= 196 so if i go bk and  calculate 13*13=169 which means its gonna be in between 13 and 14. so to figure this out we have to write it out. so we can try 13.5*13.5=182.25 so we have to go higher  13.89*13.89=192.9321 which means it has to be 13.89 rounded to the nearest hundreth.

THIS IS SEINCE TOPIC : ANIMALS!!! ( it doesn’t let me change the subject. )

Answers

Answer:

J

Step-by-step explanation:

Answer:

Pretty sure like 99% sure it's G. Hope this helps!

What is the product of 2x + y and 5x – y + 3?

Answers

Answer:

[tex]16x+3xy-y^{2} +3y[/tex]

Step-by-step explanation:

(2x+y)(5x-y+3)=

10x-2xy+6x+5xy-y^(2)+3y=

16x+3xy-y^(2)+3y

A local artisan makes handmade ceramic vases and bowls. Each vase takes 3 hours to make and each bowl takes 2 hours to make. He is limited to at most 30 hours of work time a week and would like to produce at least 12 items weekly.

Write a system of inequalities that represents the situation.
Group of answer choices

3v + 2b ≤ 30
3v + 2b ≥ 12

3v + 2b ≥30
v + b ≤ 12

2v + 3b ≤ 30
v + b ≥12

3v + 2b ≤ 30
v + b ≥ 12

Answers

3 = v
2 = b

3h+2h is less than or equal 30
v+b is greater than or equal to 12

so it is the last set of inequalities

8 minus some number divided by 3 equals 6. Find the number

A.-14/3

B. 4

C.6

D. 2/3

Answers

Answer:

my answer is negative 14/3.

Step-by-step explanation:

choice A hope that helps you if I'm wrong please tell me the right answer right away I can try another method.

X^3 - 5x^2 + 2x + 8 = 0; x - 2 factor and find all roots

Answers

Answer:

The zeroes are -1, 2, and 4. Factored: (x+1)(x-4)(x-2)=0

Step-by-step explanation:

Will give brainliest

Find the surface area of the
rectangular prism.
4 ft.
12 ft.
9 ft.
[? ] sq ft.

Answers

Answer:

384

Step-by-step explanation:

Given,

Dimensions of the rectangular prism = 9ft, 12ft and 4ft

Therefore,

Surface area of the rectangular prism

= 2( lb + bh + lh)

[tex] = 2(12 \times 9 + 9 \times 4 + 12 \times 4) {ft}^{2} [/tex]

[tex] = 2(108 + 36 + 48) {ft}^{2} [/tex]

[tex] = 2 \times 192 {ft}^{2} [/tex]

[tex] = 384 {ft}^{2} [/tex]

Hence,

Surface area of rectangular prism is 384 sq. ft (Ans)

GIVE U BRAINLYIST IF U GET CORRECT ANSWER AND EXTRA POINTS

Answers

Answer:

Point N

Step-by-step explanation:

Point N
Full explanation.

a triangle has an angle that measures 50 degrees. the other two angles are in a ratio of 2:11. what are the measures of those two angles?

Answers

Answer:

2+11=13

180-50=130

130÷13=10

2×10=20

11×10=110

2=20°

11=110°

Which expression represents the lateral surface area of the cone?
8 cm
6 cm
10 cm
LA-xi
0 (x)(3 cm)(10 cm)
O (*)(6 cm)(8 cm)
O (*)(6 cm)(10 cm)
N

Answers

Answer:

π(6 cm) (10 cm)

Step-by-step explanation:

As we know that

The formula to calculate the lateral surface area of the cone is πrl

where

r denotes the radius i.e. 6 cm

l denotes the length i.e. 10 cm

So based on the above information

The expression that shows the lateral surface area of the cone is

π(6 cm) (10 cm)

Therefore the third option is correct

Hence, the same would be relevant

5/6 plus blank equals to 5/2

Answers

Answer:

[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

let blank be O

[tex]\frac{5}{6} +O=\frac{5}{2} \\[/tex]

[tex]O=\frac{5}{2} -\frac{5}{6} =\frac{15}{6} -\frac{5}{6} =\frac{10}{6} =\frac{5}{3}[/tex]

What is the length of FG?
(Picture of Question Below!)
I WILL GIVE OUT BRAINLIEST IF CORRECT!

A. 1.2
B. 3
C. 3.6
D. 4 (NOT 4)
E. 6

Answers

Answer:

3.6,I dont know if I'm right but I'm pretty sure

I NEED AN ANSWER PLS-

Answers

Answer:

-8,4

Step-by-step explanation:

(I WILL GOVE BRAINLIST, THANKS, AND 5 STAR) 9)
1. Samir has collected 35% of the skins on Fortnite. If there are 300 total skins, how many more does he need to collect to be at 50%? Explain or show your work.
2.Selina weighs a metal sample in science class as being 20.8 grams. The actual weight of the sample is 20 grams. What is her percent relative error? Show your work.

Answers

Answer:

1. She must collect 45 more skins.

Step-by-step explanation:

300/100 = 3

3 = 1%

50 x 3 + 150

35 x 3 + 105

150 - 105 + 45

Can you guys help please?

Answers

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

EG = 6.

thanks hope it helps.

Can someone help please ASAP

Answers

Answer:

dab= 43 degrees

Step-by-step explanation:

this is because of a property in geometry (I dont remember the name) that says when your lines are parallel to each other with that line through the center like that, the degrees cross

The graph for the function f(x) is shown. Which of the following ordered pairs are a
solution to the function?

A) (-1,0)
B) (0,-5)
C) (-8,1)
D) (5,0)
E) (3,-8)

Answers

Is this Calvert learning

The diameter of the pizza is 16 inches therefore the area of the pizza is what rounded to the nearest whole number

Answers

Answer:

201

Step-by-step explanation:

pi times r^2

r=8

8^2 times pi

=201

Answer:201

Step-by-step explanation:

The RxR R=radius equals 64x3.14 = 200.96 rounded to the nearest whole number is 201

HELPPPPPPP I'LL GIVE BRAINLY

3x + 5 ≤ -13

Answers

Answer:

x <-6

Step-by-step explanation:

About how much cardboard is needed to make the inner tube for a roll of paper if the tube has a radius of 2.25 cm and is 24 cm long?
382 cm
339 cm?
679 cm
371 cm

Answers

Step-by-step explanation:

Cardboard needed to make tube =

Circumference of Circle base (remember the base is hollow therefore there is no area needed.) x Length of Tube

given r = 2.25cm

L = 24cm

Cardboard needed =

[tex]2\pi \: rl = \\ 2\pi(2.25)(24) \\ = 2\pi(54) \\ = 108\pi {cm}^{2} \\ = 339 {cm}^{2} [/tex]

The cardboard is needed to make the inner tube for a roll of paper if the tube has a radius of 2.25 cm and is 24 cm long will be 339 cm². Option B is correct.

What is surface area ?

The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.

The cardboard is needed to make the inner tube for a roll of paper is found as;

Surface area of cardboard;

A=2πRL

A=2×3.14×(2.25)(24)

A=339 cm².

Hence,the cardboard is needed to make the inner tube for a roll of paper will be, 339 cm².

To learn more about the surface area, refer to the link;

brainly.com/question/2835293

#SPJ2

Input
Output
What is the do
mapping?
-3
4
O {x|x= -
O {yly=-
O {x|x=-
O {yly=
2.
ONY
2
6.

Answers

Answer:

and disgusting and annoying things to do it

CAN SOMEONE EXPLAIN AND MAYBE SHOW ME STEP BY STEP WHY THE ANSWER IS 75degrees. HURRY 50 points and brainiest!!!

Answers

Answer:

75 degrees, we know that already so look below lol.

Step-by-step explanation:

This triangle is an isosceles triangle, LP is equivalent to LQ, and angles LQP and LPQ are also equivalent. We understand that PLQ is equal to 30 degrees, since its complementary to triangle LQM.

180 - 30 = 150

150/2 = 75.

Have a nice day, fam. Spread The Love. Thanks for the opportunity.

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