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IgorC [24]
3 years ago
14

A rotating lawn sprinkler sprays water in a circular area of grass. the Diameter of the grass shown is 10 feet. What is the area

of the grass covered by the sprinkler water?
Mathematics
2 answers:
julia-pushkina [17]3 years ago
6 0

Answer:

The area of the grass covered by the sprinkler water is approximately 78.54 feet^2

dedylja [7]3 years ago
3 0

Answer:

78.54 feet

Step-by-step explanation:

10 is the diameter so 5 is the radius,

A = πr2 = π·52 ≈ 78.53982

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Write the equation of the line that passes through the point (3,5) and is perpendicular to the line y=3.
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Answer:

x = 3

Step-by-step explanation:

y = 3 is the equation of a horizontal line parallel to the x- axis.

A line perpendicular to it must therefore be a vertical line parallel to the y- axis with equation

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where c is the value of the x- coordinates the line passes through.

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0.5 gallons plus 0.5 gallons plus 2 gallons plus 1gallon basicly i need to know how to add gallons.
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Read 2 more answers
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]

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4 years ago
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