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fenix001 [56]
3 years ago
10

Put these in order starting from the smallest 6^2,3^4,2^5,5^3

Mathematics
1 answer:
Oksanka [162]3 years ago
8 0
6^2 = 36
3^4 = 27
2^5 = 32
5^3 = 125

So 3^4,2^5,3^4,5^3 would be smallest to largest
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A rug is to be centered in a room so that the border around it is of a consistent width on all four sides. If the room is 10 ft
aleksley [76]

Answer:

The width of the border can be 9 feet or 3.5 feet.

Step-by-step explanation:

Let the width be x

Length of room = 10 feet

Breadth of room = 15 feet

Length of rug = 10-2x

Breadth of rug = 15-2x

Area of rug = (10-2x)(15-2x)  

We are given that the area of the rug is 24 square feet.

So,  (10-2x)(15-2x)=24 ---A

150-20x-30x+4x^2=24

150-24-50x+4x^2=0

126-50x+4x^2=0

2(x-9)(2x-7)=0

x=9,\frac{7}{2}

x=9,3.5

Substitute x =9 in A

(10-2(9))(15-2(9))=24

24=24

LHS = RHS

Substitute x = 3.5

(10-2(3.5))(15-2(3.5))=24

24=24

LHS = RHS

So, The width of the border can be 9 feet or 3.5 feet.

7 0
3 years ago
The triathletes were offered water as they rode by the volunteer station. The volunteers handed them cones with the dimensions s
sladkih [1.3K]

Considering the volume of the cone, it is found that each triathlete sloshed out 9.5 cm³ of water.

<h3>What is the volume of a cone?</h3>


The volume of a cone of <u>radius r and height h</u> is given by:

V = 1/3 x r² x h

In this problem, the radius and the height are given as follows:

r = 3.5 cm, h = 7 cm.

Hence the total volume is:

V = 1/3 x 3.5² x 7 = 28.6 cm³

The triathletes sloshed out 1/3 of that, hence:

1/3 x 28.6 = 9.5 cm³.

More can be learned about the volume of a cone at brainly.com/question/14281550

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3 0
1 year ago
What is the value of the expression 3y−zy+5z3y−zy+5z when y = 6 and z = 2?
WARRIOR [948]
The valve of the expression would be 184
6 0
3 years ago
Read 2 more answers
What rule describes this transformation? *
Blizzard [7]

Answer:

(x,y) -> (-x,y)

Step-by-step explanation:

The image is flipped over the x axis.

8 0
2 years ago
Someone help me please
tankabanditka [31]
A is 463
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