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
sammy [17]
3 years ago
6

A square is inscribed In a circle with radius 6

\sqrt{2} " alt=" \sqrt{2} " align="absmiddle" class="latex-formula">
inches. what is the perimeter of the square in inches? help pls​

Mathematics
1 answer:
34kurt3 years ago
6 0

Answer:

48 in

Step-by-step explanation:

The diagonal of the inscribed square equals the diameter of the circle.

1. Calculate the diagonal of the square

d = 2r = 2 × 6√2 in =12√2 in

2. Calculate the side of the square

∆ACB is an isosceles right triangle.

We can use Pythagoras' Theorem to calculate the length of a side s.

\begin{array}{rcl}s^{2} + s^{2} & = & (12\sqrt{2})^{2}\\2s^{2} & = & 144 \times 2\\s^{2} & = & 144\\s & = & \text{12 in}\\\end{array}

3. Calculate the perimeter of the square

P = 4s = 4 × 12 in = 48 in

The perimeter of the square is 48 in.

You might be interested in
The eight segments from the center of a cube to the eight corners of the cube form the edges of six pyramids. If one edge of the
Valentin [98]

Here's link to the answer:

tinyurl.com/wpazsebu

3 0
3 years ago
Carli can walk 40 dogs in 8 hours. How many dogs can she walk in 12 hours?
Archy [21]

Answer:

60 dogs

Step-by-step explanation:

40/8 = 5 dogs per hour

12 x 5 = 60 dogs in 12 hours

7 0
2 years ago
PLEASE ANSWER ASAPPPP I WILL MARK BRAINLY
anastassius [24]

Answer:

The answer is option A.

7( \frac{x}{8} ) +  \frac{3}{4}  =  - 6

Hope this helps you

4 0
2 years ago
Read 2 more answers
Find the axis of symmetry and the vertex and graph the following: f(x)=(x+2)(x-4)
algol [13]

something noteworthy is that the independent and squared variable in this case will be the "x", namely the graph of that quadratic is a vertical parabola.

\bf f(x) = (x+2)(x-4)\implies 0=(x+2)(x-4)\implies x = \begin{cases} -2\\ 4 \end{cases} \\\\\\ \boxed{-2}\rule[0.35em]{7em}{0.25pt}0\rule[0.35em]{3em}{0.25pt}\stackrel{\downarrow }{1}\rule[0.35em]{10em}{0.25pt}\boxed{4}

so the parabola has solutions at x = -2 and x = 4, and its vertex will be half-way between those two guys, namely at x = 1.

since this is a vertical parabola, its axis of symmetry, the line that splits its into twin sides, will be a vertical line, and it'll be the x-coordinate of the vertex, since the vertex hasa a coordinate of x = 1, then the axis of symmetry is the vertical line of x = 1.

8 0
2 years ago
A tree 5 ft tall grows an average of 8 in. each year. Which equation models the tree’s height h after x years?
Tanzania [10]
H = 60 + 8x

h = Tree's height in inches

x = years of growth

4 0
3 years ago
Read 2 more answers
Other questions:
  • Symplify 5+2(x-5)
    6·2 answers
  • Noemi wants to divide 2x2−x+4 by x−5 using synthetic division. Which answer shows the correct process
    9·2 answers
  • 15/55 in simplest form
    11·1 answer
  • Can someone please helpppplpppppppppppp
    6·1 answer
  • Let (-3,5) be a point on the terminal side of theta. Find the exact values of sin theta, secant theta, and tangent theta
    11·1 answer
  • Soda is often sold in 20 ounce bottles. A pack of sugar (the kind they have at restaurants for your coffee or tea) typically con
    14·1 answer
  • Math math math math math
    13·2 answers
  • The cargo of the truck weighs at most 2,900 pounds. Use w to represent the weight (in pounds) of the cargo.
    7·1 answer
  • Find the value of each variable. Assume it is a 45 45 90 triangle. Round to the nearest tenth.
    6·1 answer
  • How do I find slope for y=-2/5x-3
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!