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Sergeeva-Olga [200]
3 years ago
11

What number fall between the square root of 180

Mathematics
1 answer:
zvonat [6]3 years ago
7 0
It will fall betwenn the square root of 169 which is 13 and 196 is 14
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Consider the system of equations.
Harman [31]

The solution to the system of equations x + 2y = 1  and -3x-2y = 5 is:

x  = -3,  y = 2

The given system of equations:

x  +  2y  =  1............(1)

-3x - 2y  =  5..........(2)

This can be written in matrix form as shown:

\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]

Find the determinant of \left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right]

\triangle = 1(-2) - 2(-3)\\\triangle = -2+6\\\triangle  = 4

\triangle_x = \left[\begin{array}{ccc}1&2\\5&-2\end{array}\right]\\\triangle_x = 1(-2)-2(5)\\\triangle_x = -2-10\\\triangle_x =-12

\triangle_y = \left[\begin{array}{ccc}1&1\\-3&5\end{array}\right]\\\triangle_y = 1(5)-1(-3)\\\triangle_y = 5 + 3\\\triangle_y =8

x = \frac{\triangle_x}{\triangle} \\x = \frac{-12}{4} \\x = -3

y = \frac{\triangle_y}{\triangle} \\y = \frac{8}{4} \\y = 2

The solution to the system of equations x + 2y = 1  and -3x-2y = 5 is:

x  = -3,  y = 2

Learn more here: brainly.com/question/4428059

3 0
2 years ago
The perimeter of a building is 900 feet. If the length of the building is 400 feet, find the width. How many lights will be need
Helen [10]

Answer:

The width of the building is 50 lamps and 60 lamps will be needed.

Step-by-step explanation:

The perimeter is computed by the sum of the sides of the building, since the length and width are equal on the oposite sides of the building, the perimeter is given by:

perimeter = 2*length + 2*width

900 = 2*(400) + 2*width

2*width + 800 = 900

2*width = 900 - 800

2*width = 100

width = 100/2 = 50 feets

To know how many lights bulbs will be needed we need to take the perimeter of the building and divide it by the space between the lamps. We have:

number o lamps = 900/15 = 60 lamps

8 0
3 years ago
Read 2 more answers
Amy bought a bag of chips for 0.75, a sandwhich for 5.50, a bottle of water for 1.60. How much does amy have left from 10.
ch4aika [34]

Answer:

Amy would have 2.15 left

Step-by-step explanation:

To find out how much she has left, subtract the cost of the items from 10.

10 - 0.75 - 5.50 - 1.60 = 2.15

8 0
3 years ago
10th term of an= 20-2n
Dmitry [639]

Answer:

We have that a_{n} = 20-2n

Step-by-step explanation:

We have just to replace n=10 on the general equation

a_{10} = 20-2×10

Therefore:

a_{10} = 0

8 0
3 years ago
Which is the solution set of the inequality 15 y minus 9 less-than 36 y greater-than nine-fifths y less-than nine-fifths y less-
Vaselesa [24]

Answer:

C. y<3

Step-by-step explanation:

We are required to determine the solution set of the inequality

15y-9

Step 1: Add 9 to both sides

15y-9+9

Step 2: Divide both sides by 15

15y \div 15

The solution set of the given inequality is: y<3.

The correct option is C.

4 0
3 years ago
Read 2 more answers
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