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tatiyna
3 years ago
12

What does “normal space” refer to? Justify your answer.

Mathematics
1 answer:
vivado [14]3 years ago
5 0
A normal space<span> is a </span>topological space X<span> that satisfies </span><span>Axiom T4</span><span>: every two disjoint </span>closed sets<span> of </span>X<span> have disjoint </span>open neighborhoods<span>.</span>
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Ernesto plans to build a pen for his pet iguana. Think about these two different questions. What is the area of the largest rect
Allisa [31]
The area of the rectangular pen is 10,000 m² and the area of the circular pen is 12,738.95 m².

For the rectangular pen, we want the sides to be congruent.  To minimize perimeter and maximize area, the figure needs to be equilateral.

400/4 = 100 m for each side

This means that the area is 100(100) = 10,000 m².

If the pen is circular, this means the circumference is 400 m.  Circumference is given by the formula C=πd:

400 = 3.14d

Divide both sides by 3.14:
400/3.14 = 3.14d/3.14
127.389 = d

The radius is half of the diameter:
r = 127.389/2 = 63.6945

The area of the circle is given by A=πr²:

A=3.14(63.6945)² = 12738.9465 ≈ 12738.95 m²
6 0
3 years ago
A paper company produces 1,740 notebooks in 2 days. How many notebooks can it produce in 10 days?
vladimir1956 [14]

Answer: in 10 days the company can make 87000 notebooks considering the company produces at the same rate.


Step-by-step explanation:

Think 1740=2d

X=10d

Cross multiply

2x= 17400

X= 8700

8700 x 10d = 87000

8 0
4 years ago
Find the perimeter of triangle ABC.
Harlamova29_29 [7]
By definition, the perimeter of the triangle is the sum of its sides.
 We must then use the formula of distance between points:
 d =  \sqrt{(x2-x1) ^ 2 + (y2-y1) ^ 2}
 We now look for the longitus for each of the sides:
 
 For L1:
 L1 = \sqrt{(6-2)^2 + (6-2)^2}
 L1 =  \sqrt{32} &#10;
 L1 = 4\sqrt{2}

 For L2:
 L2 = \sqrt{(7-2)^2 + (-3-2)^2}
 L2 = \sqrt{50}
 L2 = 5\sqrt{2}

 For L3:
 L3 = \sqrt{(7-6)^2 + (-3-6)^2}
 L3 = \sqrt{82}
 
 Then, the perimeter is given by:
 P = L1 + L2 + L3
 Substituting values we have:
 P = 4\sqrt{2} + 5\sqrt{2} + \sqrt{82} &#10;&#10;P = 9\sqrt{2} + \sqrt{82}

 Answer:
 
the perimeter of triangle ABC is:
 
none of the above.
5 0
4 years ago
Read 2 more answers
On a coordinate grid, point P is at (5, 8) and point R is at (−1, −3). Points Q and S are a reflection of both points across the
Ilya [14]

Answer:

None are correct. sorry.

Step-by-step explanation:

From p to r x goes left 6 and y goes down 11

therefor none of the answers are correct

6 0
4 years ago
A LOT OF POINTS pls help and answer correctly if not I will report ty asap !
Solnce55 [7]

Answer:

hey

Step-by-step explanation:

to calculate perimeter, you require length,breadth

since points are given,find distance between points using distance formulae

<h2>root over (x2-x1)² +(y2-y1)²</h2>

______________________

<h3>Point H =(6,7)</h3><h3>Point I=(-6,-9)</h3><h3>Point J=(-10,-6)</h3><h3>Point G=2,10)</h3>

Now find distance between HI and IJ

HI gives the distance - length of rectangle

IJ gives the distance - breadth of rectangle

use the formulae ,2(length+breadth) to get perimeter

______________________

HI= root over 144+256= root 400

HI=20

IJ= root over 16+9= root 25

IJ=5

PERIMETER =2(20+5)

2×25

=50

6 0
3 years ago
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