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Leto [7]
3 years ago
7

using whole numbers only draw every possible rectangle with an area of 18 square units on graph paper lable of the dimensions of

each rectangle
Mathematics
1 answer:
s2008m [1.1K]3 years ago
8 0
We are given an area of a rectangle ( 18 sq. units ).

There are several possible dimensions of this rectangle:

First, we have to determine the factors of 18. 

1) 9 and 2
2) 6 and 3
3) 2 and 9
4) 3 and 6
5) 1 and 18
6) 18 and 1

Then, from these factors, we can draw different rectangles with different lengths and widths as their dimensions. 

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The path of a projectile launched from a 20-ft-tall tower is modeled by the equation y = -5x2 + 40x + 20. What is the maximum he
Otrada [13]

Answer:

30.49 m

Step-by-step explanation:

To obtain the maximum height, we solve for the value x when dy/dx = 0.

Since, y = -5x² + 40x + 20

dy/dx = d[-5x² + 40x + 20]/dx

dy/dx = -10x + 40

Since dy/dx = 0,

-10x + 40 = 0

-10x = -40

x = -40/-10

x = 4

Substituting x = 4 into the equation for y, we have

y = -5x² + 40x + 20

y = -5(4)² + 40(4) + 20

y = -5(16) + 160 + 20

y = -80 + 160 + 20

y = 80 + 20

y = 100 ft

Since y is in feet, we convert to meters.

Since 1 m = 3.28 ft, 100 ft = 100 ft × 1 m/3.28 ft = 30.49 m

So, the maximum height, in meters  reached by the projectile is 30.49 m

3 0
3 years ago
9000 is perfect square number?​
gavmur [86]

Step-by-step explanation:

no it's not.....

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4 0
3 years ago
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A distribution has the five-number summary shown below. What is the range
sergey [27]

Answer:71

Step-by-step explanation:

range is the difference between the highest number and the smallest number in a group of data

Highest number=85

Smallest number=14

Range=highest number-smallest number

Range=85-14

Range=71

4 0
3 years ago
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Each week, Rosario drives to an ice skating rink that is 60 miles away. The round-trip takes 2.75 hours. If he averages 55 miles
irinina [24]
Its 3 because 60*2.75 is 165 and 165/55 is 3
4 0
3 years ago
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A solid shape is made from centimetre cubes.
Pavlova-9 [17]

Answer:

30 cubes are added

Step-by-step explanation:

The image of the solid shape is attached.

From the Plan, Side elevation and Front elevation, the number of cubes needed to make the shape is 18 blocks. From the front elevation, 12 blocks is needed (4 * 3 blocks) while from the side elevation 6 blocks are needed given a total of 18 blocks.

The number of blocks needed to make the cuboid = 4 * 4 * 3 = 48 cm cubes.

Therefore the number of cubes to be added = 48 cubes - 18 cubes = 30 cubes.

30 cubes are added

5 0
3 years ago
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