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saw5 [17]
3 years ago
6

Evaluate the factorial expression. 9!/(9-2)!

Mathematics
1 answer:
ra1l [238]3 years ago
8 0

Answer:

72

Step-by-step explanation:

\frac{9!}{(9 - 2)!}  \\  \\  =  \frac{9!}{7!}  \\  \\  =  \frac{362880}{5040}  = 72

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A cement walk 3 ft wide is placed around the outside of a rectangular garden plot that is 20ft by 30ft. Find the cost of the wal
Inessa05 [86]

Let us calculate the area of the walk.

Since the width of the walk is 3 feet, and the walk will be placed all the 4 sides,

Length of the plot including walk = 20 + (2 × 3) = 20 + 6 = 26 feet.

Breadth of the plot including walk = 30 + (2 × 3) = 36 feet.

Area of the plot including walk = 26 × 36 square feet.

Area of the plot = 20 × 30 square feet.

Area of the walk = (26 × 36) - (20 × 30)

= 936 - 600

= 336 square feet.

= \frac{336}{3(3)} square yards

= 37.3 square yards

Cost of the walk per square yard = $12.25.

Therefore, total cost of the walk = 12.25 × 37.3 = $456.92.

7 0
3 years ago
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jonny [76]

Answer:

1

Step-by-step explanation:

By  gradient, if you mean the "slope" of the linear function, then you have to find two points of the graph and use the "rise over run strategy". Given two coordinates, (x1, y1) and (x2, y2) of a linear function in the form y=mx+b, the slope of the line is (y2-y1)/(x2-x1). This shows the amount of "rise", or the vertical change, and the amount of "run", which is the horizontal change. Rise/Run gives the steepness of the line. The slope can also be modeled by Δy/Δx, which is the change in y over the change in x

Plugging in the given points (0,5) and (-5,0):

(y2-y1)/(x2-x1)= (5-0)/(0-(-5)) = 5/5 = 1

7 0
3 years ago
In triangle XYZ, the length of side XY is 25 mm and the length of side YZ is 35 mm. Which of the following could be the length o
zlopas [31]

Answer:

The length of side XZ should be greater than 10 and lesser than 60.

Step-by-step explanation:

In triangle XYZ ,

As

The length of side XY = 25 mm

The length of side YZ = 35 mm

Range of the third side can be computed when we already know the two sides of the triangle.

If subtracting  35 - 25 = 10, the 3rd side would have to be more than 10. Else 3rd side can not be made as two smaller legs will not meet.

and

If adding  35 + 25 = 60, the 3rd side would have to be less than 60. Else 3rd side will reach further than the the other two sides could reach.

Therefore, the length of side XZ should be greater than 10 and lesser than 60.

3 0
2 years ago
Is 3 a divisior of 51
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Yes, because 3<span> divides evenly into </span>51<span> with no remainder.</span>
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3 years ago
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