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katrin2010 [14]
2 years ago
13

Calculate the area of a circle with a radius of 8 feet

Mathematics
1 answer:
Ulleksa [173]2 years ago
3 0

Answer:

201.06 square feet

Step-by-step explanation:

area of a circle is given by πr², where π = 3.1416

A = 3.1416 * 8²

A = 3.1416 * 64 = 201.0624 square feet

A = 201.06 square feet

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Use a matrix to solve the system:
Romashka-Z-Leto [24]

Answer:

(2.83 , 1 , 4)

Step-by-step explanation:

2x+2y-z=4\\4x-2y-2z=2\\3x+3y-4z=-4\\

Rewrite these equations in matrix form

\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\

we can write it like this,

AX=B\\X=A^{-1}B

so to solve it we need to take the inverse of the 3 x 3 matrix A then multiply it by B.

We get the inverse of matrix A,

A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]  \\

now multiply the matrix with B

X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\

4 0
2 years ago
Correct answers only please!
Naily [24]

Answer:  

1st Question

A. 85

2nd Question  

B. 71

Step-by-step explanation:

1st Question

{90 + 94 + 96 + 90} = 370/4 = 92.5

{95 + 99}                  = 194/2 = 97

{87 + 75 + 82 + 85} = 329/4 = 82.25

{71}                =  71/1               = 71

.20(92.5) +.25(97) +.30(82.25) +.25(71) = 85.175  Rounded-up = 85

___________________________________________________

2nd Question  

.10(95) +.20(80) +.50(67) +.20(60) = 71

7 0
3 years ago
If 37.5% of the 600 shoppers stated they would buy the new flavor, how many of the 600 would buy it?
Vinvika [58]

Answer:

225  lo comprarían

Step-by-step explanation:

Para sacar el porcentaje se multiplica el numero por el porcentaje y dividir entre 100

37.5x600/100

37.5x 600= 22, 500

22,500/100= 225

<u>225 lo comprarían </u>

3 0
2 years ago
Please help me quick with it​
evablogger [386]

Answer:

is there any examples/

Step-by-step explanation:

7 0
2 years ago
How could you explain the sine and cosine relationships to someone who doesn't know about the unit circle? What visuals could yo
sukhopar [10]
If you have a unit circle, it means that you have a circle of radius r = 1 unit. So if we consider the scalene triangle of the figure, its vertical side is the sine of the theta angle and its horizontal side is the cosine of the theta angle. Then to find the hypotenuse of the triangle you use the Pythagorean theorem, thus relating the sine and cosine measures. I attach the solution.

8 0
3 years ago
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