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3 years ago

10

There are two identical figures with all sides of equal length. The combined perimeter of the figures is 80 centimeters. What sh

ape are the figures? What is the length of one side?

1 answer:

Kay [80]3 years ago

3 0

Since both shapes are the same,we divide the total perimeter by 2. 80<span>÷2 is 40. Now that we have the perimeter of each individual shape we have to figure out the length of one side. Since all the sides are equal in length there is only 1 shape that has that - a square. A square has 4 sides so we need to divide 40 by 4 (because squares have 4 sides) and that equals to (40</span><span>÷4) 10cm on each side. Hope I helped!</span>

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How many elements are in the union of four sets if

12345 [234]

Answer:

20

Step-by-step explanation:

Let A, B, C and D sets.

Let |A| the number of elements of A.

Remember, the quantity of elements that have the set $A\cup B\cup C\cup D$ is

$|A\cup B\cup C\cup D|=|A|+ |B|+ |C|+|D|-|A\cap B|-|A\cap C|-|A\cap D|-|B\cap C|-|B\cap D|-|C\cap D|-|A\cap B\cap C|-|A\cap B\cap D|-|B\cap C\cap D|-|A\cap B\cap C \cap D|$

1. Since each set has 100 elements,

2. each pair of the sets shares 50 elements

3. each three of the sets share 25 elements,

4. the four sets share 5 elements

Then

$|A\cup B\cup C\cup D|=100+100+100+100-50-50-50-50-50-50-25-25-25-5=20$

So, there are 20 elements in the union of the sets A, B, C and D

6 0

4 years ago

1. N - 80 = 40 2. 15n = 30 3. N + 284 = 350 4. 6 + 9 = 3 x n 5. N divided by 3 = 6 +1 6. 12 - 8 = n divided by 5 7. 58 x 6 = n -

kkurt [141]

Answer:

1. $N=120$

2. $n=2$

3. $N=66$

4. $n=5$

5. $N=21$

6. $n=20$

7. $n=1398$

8. $n=5$

Step-by-step explanation:

1.

$N-80=40$

$N=40+80$

$N=120$

2.

$15n=30$

$\dfrac{15n}{15}=\dfrac{30}{15}$

$n=2$

3.

$N+284=350$

$N=350-284$

$N=66$

4.

$6+9=3\times n$

$15=3n$

$\dfrac{15}{3}=n$

$n=5$

5.

$\dfrac{N}{3}=6+1$

$\dfrac{N}{3}=7$

$N=7\times 3$

$N=21$

6.

$12-8=\dfrac{n}{5}$

$4=\dfrac{n}{5}$

$4\times 5=n$

$n=20$

7.

$58\times 6=n-(723 + 327)$

$348=n-1050$

$348+1050=n$

$1398=n$

8.

$4n+12=(7+9)\times 2$

$4n+12=16\times 2$

$4n+12=32$

$4n=32-12$

$4n=20$

$n=\dfrac{20}{4}$

$n=5$

Therefore, the solutions are 1. $N=120$

2. $n=2$

3. $N=66$

4. $n=5$

5. $N=21$

6. $n=20$

7. $n=1398$

8. $n=5$

8 0

3 years ago

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Ilia_Sergeevich [38]

Second and fourth lines are perpendicular.

3 0

4 years ago

Which number is irrational?<br> A) 16.5% <br> B) 0.0675 <br> C) 8 3/4 <br> D) π

Reil [10]

The answer is (D) <span>π (also known as pi) an Irrational Number</span>

3 0

3 years ago

Read 2 more answers

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Jlenok [28]

Answer:

The square root of eighty-three √83 = 9.1104335791443 or 9.11

Step-by-step explanation:

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4 0

3 years ago

Read 2 more answers