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xeze [42]
3 years ago
15

Find the lengths of the sides of the triangle PQR. P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) a. |PQ| = b. |QR| = c. |RP| =

Mathematics
1 answer:
Nat2105 [25]3 years ago
4 0

Given :

Three points ,  P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) .

To Find :

The length of sides .

Given :

We know , length of two points P(x,y ,z) and Q(a,b,c) is given by :

L=\sqrt{(x-a)^2+(y-b)^2+(z-c)^2}

Length of PQ :

PQ=\sqrt{(4-2)^2+(3-1)^2+(4-3)^2}\\\\PQ=\sqrt{4+4+1}=\sqrt{9}\\\\PQ=3

Length of QR :

QR=\sqrt{(2-2)^2+(1-7)^2+(3-0)^2}\\\\QR=\sqrt{0+6^2+3^2}\\\\QR=\sqrt{36+9}\\\\QR=\sqrt{45}\\\\QR=3\sqrt{5} :

Length of RP :

RP=\sqrt{(2-4)^2+(7-3)^2+(0-4)^2}\\\\RP=\sqrt{2^2+4^2+4^2}\\\\RP=\sqrt{4+16+16}\\\\RP=\sqrt{36}\\\\RP=6

Hence , this is the required solution .

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xxMikexx [17]

Answer:

The possible number of CDs she could buy is 1, 2, and 3.

Step-by-step explanation:

First, you have to make an equation to solve to find the answer(s):

  • 80 - (18 · x) ≥ 20
  • 80 is how much money Felicia has; 18 is for the cost of each CD; x is for the number of CDs; ≥ is no less; and 20 is how much money Felicia needs to have left.

1.) 80 - (18 · 1) ≥ 20

80 - 18 · 1 ≥ 20

80 - 18 ≥ 20

62 ≥ 20

Since 62 ≥ 20 is always true, there are infinitely many solutions.

2.) 80 - (18 · 2) ≥ 20

80 - 18 · 2 ≥ 20

80 - 36 ≥ 20

44 ≥ 20

Since 44 ≥ 20 is always true, there are infinitely many solutions.

3.) 80 - (18 · 3) ≥ 20

80 - 18 · 3 ≥ 20

80 - 54 ≥ 20

26 ≥ 20

Since 26 ≥ 20 is always true, there are infinitely many solutions.

4.) 80 - (18 · 4) ≥ 20

80 - 18 · 4 ≥ 20

80 - 72 ≥ 20

8 ≥ 20

Since 8 ≥ 20 is false, there is no solution.

5.) 80 - (18 · 5) ≥ 20

80 - 18 · 5 ≥ 20

80 - 90 ≥ 20

- 10 ≥ 20

Since - 10 ≥ 20 is false, there is no solution.

4 0
3 years ago
Read 2 more answers
ABCDE and FGHJE are similar pentagons. If the perimeter of FGHJE is 7.3, what is the perimeter of ABCDE?
kiruha [24]
The answer would be 14.6
4 0
2 years ago
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butalik [34]

Answer:

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5 0
3 years ago
Shape A has a perimeter of 36 feet and on of the side lengths is 12
Maru [420]

The perimeter of a shape is the sum of its side lengths

The corresponding side length for shape B is 20 feet

<h3>How to determine the length</h3>

The length-perimeter ratio is given as:

Ratio = Length : Perimeter

For both shapes, we have:

12 : 36 = Length : 60

Express as fraction

\frac{12}{36} = \frac{Length}{60}

Multiply both sides by 60

Length = \frac{12}{36} * 60

Length =20

Hence, the corresponding side length for shape B is 20 feet

Read more about perimeter at:

brainly.com/question/17297081

4 0
1 year ago
The complement of an angle is 35 degrees what is the measure of the angle?
Naily [24]

Complementary angles add up to 90 degrees.

The complement angle to 35 is:

90 - 35 = 55 degrees.

The answer is D.

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3 years ago
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