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aliya0001 [1]
3 years ago
6

Find the difference. Simplify completely. Please show work.1. 7/9 - 3/8 2. 5 4/5 - 2 1/4

Mathematics
1 answer:
fenix001 [56]3 years ago
4 0

1. 7/9 - 3/8 = (7·8 - 9·3)/(9·8) = (56 -27)/72 = 29/72

2. (5 4/5) - (2 1/4) = (5 - 2) + (4/5 - 1/4) = 3 + (4·4 -5·1)/(5·4) = 3 11/20

_____

(a/b) -(c/d) = (ad -bc)/(bd) . . . . a useful formula to remember when working problems like this. It is equivalent to multiplying the first fraction by d/d and the second one by b/b to get a common denominator of bd. Of course if the second fraction is added instead of subtracted, the sign changes in both places.

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In a geometry class, the students were asked to prove the theorem below by contradiction.
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<span>The contradiction term for "at most one obtuse angle" is "no obtuse angles
so therefore i conclude that the </span> statement she will  most likely use as an assumption is
  Let each angle of a triangle be acute
so option A is correct
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4 0
3 years ago
Which of the following is not a Pythagorean triple?
Ierofanga [76]

Answer:

  (7, 24, 26)

Step-by-step explanation:

A Pythagorean triple must have an odd number of even numbers. The triple (7, 24, 26) is not a Pythagorean triple.

_____

<em>Additional comment</em>

For an odd integer n, a triple can be formed as ...

  (n, (n²-1)/2, (n²+1)/2)

That is, the following will be Pythagorean triples.

  • (3, 4, 5)
  • (5, 12, 13)
  • (7, 24, 25)
  • (9, 40, 41)
  • (11, 60, 61)

Another series involves even numbers and numbers separated by 2:

  (2n, n²-1, n²+1)

  • (8, 15, 17)
  • (12, 35, 37)
  • (16, 63, 65)

In this list, if n is not a multiple of 2, the triple will be a multiple of one from the odd-number series.

It is a good idea to remember a few of these, as they tend to show up in Algebra, Geometry, and Trigonometry problems.

8 0
2 years ago
Which equation could be used to solve problems involving the relationships between the angles?
Salsk061 [2.6K]

Answer:

B

Step-by-step explanation:

The answer is B I just had this question

8 0
3 years ago
Kara has four boy cousins and three girl cousins. Write a fraction to represent the part of her cousins that are girls.
earnstyle [38]

Answer:

it would be 3/7

Step-by-step explanation:

3+4=7 3 cousins out of the seven are girls

6 0
3 years ago
suppose six of these people are men, and the other six are women. in how many ways can they join hands for a circle dance, assum
Drupady [299]

Twelve people join hands for a circle dance.In how many ways can they do this? Suppose six of these people are men, and the other six are women. In how many ways can they join hands for a circle dance, assuming they alternate in gender around the circle

Answer:

86400 ways

Step-by-step explanation:

Since the circle can be rotated, the number of ways to arrange a distinct number of n objects in a circle will be (n−1)!.

Now, if we rotate the circle with the six women, we will see that there are 5! ways with which they can be placed in the circle.

After picking the places for the women, we will now fill each gap between two women with a man.

We have 6 men. Thus, number of ways to arrange the men is 6!

Thus,number of ways they can join hands for a circle dance, assuming they alternate in gender around the circle = 5! × 6! = 86400 ways

8 0
2 years ago
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