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professor190 [17]
3 years ago
12

|x−3|=−2 1/4 Please solve this I would really appreciate it

Mathematics
1 answer:
Allisa [31]3 years ago
5 0
1) Turn -2 1/4 to decimal:
x -3 = -2.25

2) add three to both side to cancel out for x:
x= .75

Answer: x = .75 OR 3/4

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To measure the distance across a pond, Sandy and Garrett mark a spot at on
DerKrebs [107]

Answer:

distance across the pond: 13 yd

distance walked by Garret: 12 yd

Step-by-step explanation:

Data:

  • distance across the pond: x yd
  • distance walked by Sandy: 5 yd
  • distance walked by Garret: x-1 yd

A right triangle is formed where the distance across the pond is the hypotenuse. From Pythagorean theorem:

x² = 5² + (x-1)²

x² = 25 + x² - 2x + 1

0 = 26 - 2x

x = 13

4 0
3 years ago
What is the ratio of x to y<br><br> 14x = 9y<br><br> A) 14/9<br> B) 1/9<br> C) 1/14<br> D) 9/14
kirza4 [7]

Answer:

A) 14/9

Step-by-step explanation:

14 and 9 have no GCFs (Greatest Common Factors), so the ratio is simply 14/9.

5 0
4 years ago
program that generates two random numbers between one and 11. what is the probability that both values will be more than 7? numb
katovenus [111]

Answer:

1/9

Step-by-step explanation:

The numbers between 1 and 11 are:

2, 3, 4, 5, 6, 7, 8, 9, 10

There are 9 numbers.

Of the 9 numbers, 8, 9, and 10 are greater than 7, so there are 3 numbers greater than 7.

p(number greater than 7) = 1/3

p(>7) = 1/3

Each time a number is selected, the probability it is greater than 7 is 1/3.

For two numbers, you have two independent events, so the overall probability is the product of the individual probabilities.

p(>7 then >7) = p(>7) * p(>7) = 1/3 * 1/3 = 1/9

6 0
3 years ago
If the length of two sides of an isosceles triangle are 5 and 12 what is the length of the third side
svetoff [14.1K]

By definition, an isosceles triangle has 2 of the 3 sides with the same length. From this, we already know that the third side must be or 5 or 12.

We also know that, for every triangle, the sum of two sides must be always bigger than the third side, for any combination.

From this second affirmation, we know that the third side can not be 5, because:

5+5

From this, we conclude that the third side of an isosceles triangle with sides equal to 5 and 12 is equal to 12.

3 0
2 years ago
Please help me solve this problem with work
Marina86 [1]

Answer:

  m∠B ≈ 51.5°

Step-by-step explanation:

A triangle solver can find this answer simply by entering the data. If you do this "by hand," you need to first find length BC using the Law of Cosines. Then angle B can be found using the Law of Sines.

<h3>Length BC</h3>

The Law of Cosines tells us ...

  a² = b² +c² -2bc·cos(A)

  a² = 21² +13² -2(21)(13)cos(91°) ≈ 619.529

  a ≈ 24.8903

<h3>Angle B</h3>

The Law of Sines tells us ...

  sin(B)/b = sin(A)/a

  B = arcsin(sin(A)×b/a) = arcsin(sin(91°)×21/24.8903)

  B ≈ 57.519°

The measure of angle B is about 57.5°.

8 0
2 years ago
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