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torisob [31]
3 years ago
15

Find the midpoint of the line segment with end coordinates of: ( 1 , 7 ) and ( 3 , − 2 ) Give coordinates as decimals where appr

opriate.

Mathematics
2 answers:
vova2212 [387]3 years ago
8 0

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Gwar [14]3 years ago
7 0

Answer:

(2, 2.5)

Step-by-step explanation:

To find the midpoint

Add the x coordinates together and divide by 2

(1+3)/2 = 4/2 =2

Add the y coordinates together and divide by 2

(7-2)/2 = 5/2 =2.5

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11/9

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3 years ago
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A RIGHT triangle has three sides: a, b, c such that a=b and LaTeX: a^2\:+\:b^2\:=\:c^2 a 2 + b 2 = c 2 What is the ratio of the
Alex_Xolod [135]

Answer:

c=b\sqrt{2}

Step-by-step explanation:

Refer to the attached image.

A right triangle is considered so when one of its corners are 90°.

If sides a and b are equal in length, then  the corners across from them are equal in size as well.

The only way for this to be possible is if both corners A and B(opposite of sides a and b) are 45°.

Pythagorean theorem

This theorem states that the square of a right triangle's long side is equal to the sum of the squares of the shorter sides.

In this case:

a^{2} +b^{2} =c^{2}

but since:

a=b

the equation can be solved by replacing a with b in the equation:

b^{2} +b^{2} =c^{2} \\2b^{2}=c^{2} \\\sqrt{2b^{2} } = c\\b\sqrt{2} =c

7 0
3 years ago
Water weighs 62.4 pounds per cubic foot. How much does the water in a tank that measures 7 ft × 4 ft × 9 in, weigh?
andriy [413]

Answer:

  • <u>1,310 lb</u>

Explanation:

<u>1) Calculate the volume of the water in the tank.</u>

  • Area of the base of the tank: B = 7 ft × 4 ft = 28 ft²
  • Height of the tank: H = 9 in = 9 in × 1 ft / 12 in = 0.75 ft
  • Volume of the tank: V = area of the base × height = B × H = 28 ft² × 0.75 ft = 21 ft³.

<u>2) Calculate the weight of 21 ft³ of water.</u>

Since this is not a chemistry question but a math question, I will not use the fomula of density but set a proportion with one unknown:

  • 62.4 lb / 1 ft³ = x / 21 ft³

Solve for x:

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So, rounding to the next integer, the water in the tank weighs 1,310 pounds, when it is full.

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3 years ago
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Use the quadratic formula to solve the equation if necessary round to the nearest hundredth
densk [106]
-5y^2 + 2y + 2 = 0

y = -2 ± ✓4 - 4*-5*2. /. -10

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3 years ago
Marvin counts six $5 bills. write each value that he counts. what pattern do you see in the one digits of the values he counts?
spin [16.1K]
Answer: If the number of bills counted is odd, the ones digit is 5; if the number of bills is even, the ones digit is 0.

Explanation

1) Simulate the counting of the bills:

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1                                             5                         5

2                                             5 + 5 = 10           0

3                                             10 + 5 = 15         5

4                                             15 + 5 = 20         0

5                                              20 + 5 = 25        5

6                                              25 + 5 = 30        0

2) Pattern: you can see that the ones digit alreternate: 5, 0, 5, 0, 5, 0, ...

If the number of bills counted is odd the ones digit is 5, if the number of bills is even the ones digit is 0.
4 0
4 years ago
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