Find the radius of a circle in which an inscribed square has a side of 8 inches.​

Answers

Answer 1

Answer:

[tex]4\sqrt{2} =5.66[/tex]

Step-by-step explanation:

The square is in the circle, so the diameter is the diagonal line of the square. This divides the square into two right triangles.

Two sides of the right triangle equal 8. This qualifies it as a special right triangle. This triangle has two sides that = x (in this case 8) and the hypotenuse is [tex]x\sqrt{2}[/tex].

Substitute 8 in for x.

[tex]8\sqrt{2}[/tex] is the diameter, so we divide in half to get the radius = [tex]4\sqrt{2}[/tex]


Related Questions

Which inequality represents this situation? The number of students, s, who ride in a bus is less than 30. A. S < 30 B. S > 30 C. S ≥ 30 D. S ≤ 30

Answers

Answer:

A.s<30

Step-by-step explanation:

We are given that

Number of students who ride in a bus=s

We have to find the inequality which represents the given situation.

According to question

s<30

A.s<30

It is true.

B.s>30

It is false because s is less than 30

C.[tex]s\geq 30[/tex]

It is false because s<30

D.[tex]s\leq 30[/tex]

It is false because s<30

Option A is true.

( 4a - 5 ) + ( 3a + 6 )

Answers

4a - 5 +13a + 6
17a - 5 + 6
17a + 1

Plzz helpp I’ll mark brainiest

Answers

Answer:

amy = 22 ben = 19

hope i helped!!!

Answer:

Year 3: Ben $10, Amy$13

2 ( 4 + k ) - 11 = 15 i need it now please.

Answers

Answer:

Yes

Step-by-step explanation:

Answer: k=9

Step-by-step explanation:

a) x and y are two numbers taken from the list below.
5,6,7,8,9,10

(i) What values of x and y will make 3x - 2y equal zero? x=? Y=?

(ii) Work out the greatest possible value of 3x - 2y.

(iii) Work out the least possible value of 3x - 2y.

b) Find the value of
5(a - 4b) when a = -7 and b= 1/4

Answers

Answer:

a)

i) we have the equation:

3*x - 2*y

We want to find a common multiple of 3 and 2.

One can be:

3*6 = 18

2*9 = 18

And both numbers 6 and 9 are on the list, then if we take:

x = 6, y = 9

we get:

3*6 - 2*9 = 18 - 18 = 0

The solution is x = 6, y = 9.

ii) The greatest possible value of:

3*x - 2*y

Will be when x is the largest value of the list (because it is on the positive term) and y is the smallest value on the list (because it is on the negative term)

then we need to have x = 10, y = 5

The value will be:

3*10 - 2*5 = 30 - 10 = 20

iii) Now we want to have the smallest value on x, and the largest one on y, then:

x = 5, y = 10

The smallest value of the equation will be:

3*5 - 2*10 = 15 - 20 = -5

B) We want to solve:

5*(a - 4*b)

when:

a = -7

b = 1/4

This is kinda easy, we just need to replace the variables in the equation to get:

5*(a - 4*b) = 5*(-7 - 4*(1/4)) = 5*(-7 - 4/4) = 5*-8 = -40

Complete the solution of the equation. Find the
value of y when x equals -30.
-2x – 3y = 42

Answers

-2(-30)-3y =42
60-3y=42
-3y=42-60
-3y= -18
y= 6

The value of y when -2(-30) - 3y = 42 is that y will be 6 so therefor the answer is y = 6

what is the volume of the figure

Answers

Step-by-step explanation:

Volume = width × length × height

= (5×8×22) + (5×12×8)

= ....... m³

QRST IS AN ISOSCELES TRAPEZOID FIND YZ

Answers

The top and bottom divided by two equal the mid segment, so...

((2x+7)+19)/2 =5x+1
(2x+26)/2=5x+1
x+13=5x+1
4x=12
x=3

So YZ is 5x+1, or 5(3)+1=16.

Calculate the perimeter of ABCD.
B
+
6 cm
950
8 cm
5 cm
C

Answers

Answer:

The perimeter is 28.13 cm

Step-by-step explanation:

We connect a line from A to C

we can use the cosine rule to find the length AC

let us call it x

AC^2 = AB^2 + BC^2 - 2(AB)(BC) cos B

we have this as;

x^2 = 6^2 + 8^2 - 2(6)(8) cos 95

x^2 = 36 + 64 + 8.37

x^2 = 108.37

x = √108.37

x = 10.4 cm

AC = 10.4 cm

now, let us look at triangle ADC Where we have AC as the hypotenuse as it is the side facing the right angle

We can use Pythagoras’ theorem to get the value of CD

We have it that the square of the hypotenuse AC is the sum of the squares of the two other sides

let DC be y

10.4^2 = 5^2 + y^2

y^2 = 108.37 - 25

y^2 = 83.37

y = √83.37

y = 9.13 cm

The perimeter of the shape is the sum of all its sides

so we have;

AB + BC + CD + AD

= 6 + 8 + 9.13 + 5

= 28.13 cm

Help me I’m confused

Answers

Step-by-step explanation:

[tex] {81}^{ \frac{1}{2} } = \sqrt{81} = 9[/tex]

Answer:

[tex] {81}^{ \frac{1}{2} } \\ = \sqrt{81 } \\ = \sqrt{3 \times 3 \times 3 \times 3} \\ = 3 \times 3 \\ = 9[/tex]

Hope it helps you!! Btw, r u a BTS ARMY?

The area is ??? square feet.

Answers

Answer:

7

Step-by-step explanation:

765+2

HELP ASAP, BRAINLIEST FOR CORRECT ANSWER!
dilations of triangles, look at the attachments!

Answers

Answer:

1:4

Step-by-step explanation:

every one space on the green triangle, is equal to four spaces on the red triangle.

The class needs to collect 20.5 pounds of cans for recycling over the next 5 months. Students plan to collect 3.75 pounds each month.

Answers

Answer:

There will still be 1.75 pounds of trash left

Step-by-step explanation:

i dont understand graphs at all

Answers

Answer:

cool?

Step-by-step explanation:

Same same same same same

4/9 + 2/9 simplified​

Answers

Answer:

2/3

Step-by-step explanation:

Add 4/9 and 2/9 together

6/9

Simplify.

Divide both sides by 3

6 divided by 3

2

9 divided by 3

3

So, the answer is 2/3

Hope this helps :)

Answer: 2/3

Step-by-step explanation:

4/9+2/9= 6/9

THey can be simplified by three so ur answer is

2/3

Solve the system of equations by Linear Combination (Elimination)
6x - 2y = 16
x + 2y = 5
a) (3,1)
b) (1,3)
c) Infinite Many Solutions
d) No Solution
PLEASE PLEASE PLEASE HELPPP MEEE

Answers

Let me know if you have any questions!

how many 3.50 burgers can you buy for $90

Answers

Answer:

27

Step-by-step explanation:

Please help! This is Algebra 1, and i’m like so confused...

Answers

Answer:

What are the options

Step-by-step explanation:

HELP I WILL GIVE YOU 20 POINTS

Answers

Maby c I may be wrong
I believe the answer is C

Find the coordinates of the point on the directed segment from (1,2) to (6,12) that divides it into a ratio of 2:3

Answers

Answer:

Point of contact  ( 3,6)

Step-by-step explanation:

Step(i):-

Given that the points are (1,2) and (6,12)

The ratio 2:3 divides the line segment

The line segment divides m:n externally

[tex](\frac{mx_{2}-nx_{1} }{m-n} ,\frac{mx_{2}-nx_{1} }{m-n} )[/tex]

Step(ii):-

(x₁, y₁) = (1,2) and (x₂, y₂)= (6,12) and m:n =2:3

[tex](\frac{2(6)+3(1) }{2+3} ,\frac{2(12)+3(2) }{2+3} )[/tex]

([tex](\frac{12+3}{5} ,\frac{24+6}{5} )[/tex]

([tex]\frac{15}{5} ,\frac{30}{5})[/tex]

(3 , 6)

Final answer:-

Point of contact  ( 3,6)

PLZ HELP PLZ I NEED IT QUICKLY

Answers

The answer is 31 degrees

PLS I NEED HELP I WILL REALLY APPRECIATE IF SOMEONE DID IT I WILL MARK YOU THE BRAINLY PLS HELP!!!!

Answers

Answer:

1) b= 39.5

2) c= 3.6

3) a=19

Step-by-step explanation:

Use the Pythagorean Theorem to find the missing side length.

"C" is the hypotenuse. Pythagorean Theorem: a^2+b^2=c^2

1) 11^2+b^2=c^41

121+b^2=1681

121-121+b^2=1681-121

b^2=1560

b= 39.5

2) 2^2+3^2=c^2

4+9=c^2

13=c^2

c= 3.6

3) a^2+9^2=21^2

a^2+81=441

a^2+81-81=441-81

a^2=360

a=19

Hope this helps!

Clark is removing dirt from a rectangular section of his backyard to build a water feature. The section is 2.9 meters long and has an area of 8.7 square meters.

2.9x = 8.7

What is the width of the section of Clark's backyard?
A.
3 meters
B.
5.8 meters
C.
4 meters
D.
2.23 meters

Answers

Answer:

B

Step-by-step explanation:

A spherical balloon has a diameter of 4 feet.

Approximate how many cubic feet of air this balloon holds.



Note: 'pi' means 'LaTeX: \piπ ', which is approximately 3.14. Use 3.14 as an approximation for LaTeX: \piπ , and give a numerical answer.

Answers

Answer:

33.49

Step-by-step explanation:

just did that

Hope you can see this

Answers

Answer:

I can see it, sorry

Step-by-step explanation:

convert 2000 feet per minute to miles per hour

Answers

22.727 mph
step by step:
divide the speed value by 88

What is the volume of the tissue box 5in 7in 2in

Answers

Answer:

70 inches cubed

Step-by-step explanation:

5 times 7 times 2 gives you the volume.

Choose the inequality that represents the following graph.

(16 point will give brainly for correct answer)

Answers

b, x is less than or equal to one

Answer:

I think it's B for x is less than and equal too 1

Step-by-step explanation:

It's probly you should use the line where the shading is going.

In a league of 320 high schools that participate in UIL soccer, only 16 schools make it to the play-offs. What percentage of the league’s soccer teams move on to the play-offs?

Answers

Answer:

20% (I believe)

Step-by-step explanation:

If you divide 16 from 320 you should get 20, and 20% of 320 is 16! :3  (I really hope that this helps- I'm not the best at math ;w;)

are 2x3 and 4x4 like or unlike terms

Answers

Answer:

They are like terms

Step-by-step explanation:

Answer:They are like terms!

Step-by-step explanation:

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