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forsale [732]
4 years ago
5

Find the circumference and area of the circle​

Mathematics
1 answer:
ser-zykov [4K]4 years ago
5 0

Answer: C = 53.3 inches

A = 226.1 inches²

Step-by-step explanation:

The inscribed square has equal sides. To determine the hypotenuse of the square which is also the diameter of the circle, we would apply the Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Hypotenuse² = 12² + 12² = 144 + 144 = 288

Hypotenuse = √288 = 16.97 inches

Radius = diameter/2 = 16.97/2 = 8.485 inches

The formula for determining the circumference of a circle is expressed as

Circumference = 2πr

Circumference = 2 × 3.14 × 8.485 = 53.3 inches

Area = πr²

Area = 3.14 × 8.485² = 226.1 inches²

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A=P(1+r)^t
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5 0
4 years ago
Read 2 more answers
NEED HELP ASAP . SERIOUS ANSWERS .
const2013 [10]
The second option is correct
8 0
3 years ago
Rewrite the system of linear equations as a matrix equation AX = B.
iren2701 [21]

Answer:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

Step-by-step explanation:

Let's find the answer.

Because we have 3 equations and 3 variables (x1, x2, x3) a 3x3 matrix (A) can be constructed by using their respectively coefficients.

Equations:

Eq. 1 : x1 + 2x2 + 5x3 = 5

Eq. 2 : x1 + x2 + x3 = 6

E1. 3 : 4x1 + 6x2 + 5x3 = 7

Coefficients for x1 ; x2 ; x3

From eq. 1 : 1 ; 2 ; 5

From eq. 2 : 1 ; 1 ; 1

From eq. 3 : 4 ; 6 ; 5

So matrix A is:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]

And the vector of vriables (X) is:

\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]

Now we can find the resulting vector (B) using the 'resulting values' from each equation:

\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

In conclusion, AX=B is:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

7 0
4 years ago
Help please Thanks - Celgio111
slega [8]
Whatever decimals you choose, b HAS to be greater than a. It can't be the other way around where a is greater. So a possible answer could be, b=0.9 and a=0.3 
7 0
3 years ago
Alexandria cuts out the net shown and folds it into a number cube. Three faces meet at each corner of the cube. What is the larg
ZanzabumX [31]

The largest sum of three numbers that meet at a corner is 15

<h3>How to determine the largest sum?</h3>

The number cube that completes the question is added as an attachment

The largest number in the number cube is 6.

On the number cube, the next largest numbers share the same corner with the number 6

So, the largest set of numbers on the cube are 6, 5, 4

Add the numbers:

Sum = 6 + 5 + 4

Evaluate

Sum = 15

Hence, the largest sum of three numbers that meet at a corner is 15

Read more about number cubes at:

brainly.com/question/474968

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8 0
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