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2 years ago

What is the area of the sector?

Mathematics

1 answer:

xeze [42]2 years ago

8 0

Area of the sector is 981.3 cm²

Step-by-step explanation:

Step 1: Find the area of the sector where radius = 50 cm and central angle = 45°

Area of the sector = πr² (C/360), where r is radius and C is the central angle

⇒ Area = 3.14 × 50² × (45/360)

= 3.14 × 2500 × 1/8

= 7850/8 = 981.3 cm²

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son4ous [18]

Answer: a=4

Step-by-step explanation:

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2 years ago

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Which matrix represents the system of equations shown below? 3x-5y=12 4x-2y=15

tatuchka [14]

Answer:

$\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right]$

Step-by-step explanation:

When making a matrix of two equations with the variables x and y, the result will be a matrix with three columns:

a column for the values of x in each equation
a column for the values of y in each equation
a column for the independent values of each equation

since our system of equations is:

$3x-5y=12\\ 4x-2y=15$

we can see that the value for x in the first equation is 3 and in the second equation is 4, thus the first column will have the numbers 3 and 4:

$\left[\begin{array}{ccc}3&&\\4&&\\\end{array}\right]$

Now for the values of y we hvae -5 in the first equation and -2 in the second equation, we update the matrix with another column with the values of -5 and -2:

$\left[\begin{array}{ccc}3&-5&\\4&-2&\\\end{array}\right]$

Finally, the last column is the independent values of each equation (or the results) in the first equation that number is 12 and in the second equation is 15, thus the matrix is:

$\left[\begin{array}{ccc}3&-5&12\\4&-2&15\\\end{array}\right]$

usually there is a line separating the columns for the values of x and y, and the independent values:

$\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right]$

this is the matrix of the system of equations

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2 years ago

What is the surface area of a rectangular prism with a length of 3 mm, a width of 5 mm, and a height of 8 mm?

kherson [118]

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Enjoy!=)

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2 years ago

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Mrrafil [7]

Answer:

Step-by-step explanation:

|-5 - 4|

The expression represents the absolute value of - 5 - 4 ;

-5 - 4 = - 9

|-5-4| = 9

Hence, the distance between the two points is 9.

Hence, the number line which shows the two points is A.

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2 years ago

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Otrada [13]

Answer:

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Step-by-step explanation:

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