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
d1i1m1o1n [39]
2 years ago
7

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

Mathematics
1 answer:
Semenov [28]2 years ago
7 0

Answer:

4\sqrt{2} =5.66

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 x\sqrt{2}.

Substitute 8 in for x.

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

You might be interested in
The legth of a rectangle is the same as the legth of each side of a square. The legth rectangle is 4 cm more than 3 times the wi
ankoles [38]

Let, length and breadth of rectangle is L and B respectively.

It is given that :

The length rectangle is 4 cm more than 3 times the width of the rectangle.

L = 3B + 4  ......1 )

Also, area of square = area of the rectangle + 66

L² = LB + 66

Putting value of L from

L² = ( 3B + 4 )( B ) + 66

L² = 3B²  + 4B + 66

( 3B + 4 )² = 3B²  + 4B + 66

9B² + 16 + 24B = 3B²  + 4B + 66

6B² + 20B - 50 = 0

3B² + 10B - 25 = 0

3B² + 15B - 5B -25 = 0

3B( B + 5 ) -5( B + 5 ) = 0

B = 5/3 units

L = 3( 5/3 ) + 4

L = 5 + 4 = 9 units

Hence, this is the required solution.

6 0
3 years ago
Solve for x in a right triangle (show work)
Semmy [17]

Answer:

x = 89. 98⁰

Step-by-step explanation:

tan(x) = 29/ 14

x = tan-¹ (29/14)

x = 89. 98⁰

3 0
2 years ago
Compute delta y/delta x for the interval [2,5], where y = 4x - 9.
Kamila [148]
We have to compute: Δ y / Δ x.
The interval is [ 2, 5 ] and y = 4 x - 9.
y 1 = 4 · 2 - 9 = 8 - 9 = - 1
y 2 = 4 · 5 - 9 = 20 - 9 = 11
Δ y / Δ x = ( y 2 - y 1 ) / ( x 2 - x 1 ) =
= ( 11 - ( - 1 ) ) / ( 5 - 2 ) = ( 11 + 1 ) / 3 = 12 / 3 = 4
Answer:
Δ y / Δ x = 4

3 0
3 years ago
"John spent $30 on six toy cars. How much did each toy car cost? Write a one step equation. Solve"
Alika [10]
John spent 30 on six cars 5 times 6 = 30
3 0
3 years ago
Read 2 more answers
We are given arc KL is 12x+4, arc KJ is 8x-6, and angle E is 99 degrees. What is the actual degree measure of arc KJ? *
Goryan [66]

Answer:

I think its 20x - 2 because when u are given KJ or KL we need the measurement of x

4 0
2 years ago
Other questions:
  • 14÷7= ¿<br>A. 8<br>B.2<br>C.15<br>Helppppp
    12·2 answers
  • An angle measures 80° less than the measure of its supplementary angle. What is the measure of each angle?
    11·1 answer
  • Please help, doing age word problems. Tysm if you do, really appreciated :D
    6·2 answers
  • Cual es el resultado de 3(2x+3)<br><br>​
    11·2 answers
  • Please help! Correct answer only!
    13·1 answer
  • Find the value of Tan 45°​
    11·1 answer
  • State the slope and the y-intercept for the graph of each equation.<br><br> 5x + y = 7
    7·1 answer
  • The figure shows a line graph and two shaded triangles that are similar:
    10·2 answers
  • Hiiiii friend's what is bodmas rule??​
    13·2 answers
  • Gwen volunteered to work at the ticket booth for her school's Halloween carnival. The chart below gives the number of hours Gwen
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!