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Norma-Jean [14]
4 years ago
8

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary. ​

Mathematics
1 answer:
svetlana [45]4 years ago
6 0
I don’t really understand I need more detail
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Benito wrote the equations shown about the figure. Explain Benito’s errors.
Minchanka [31]

Answer:

  • Benito's error was using the equal sign (=) instead of the congruency symbol (≅).

Explanation:

Benito's error was using the equal sign (=) instead of the congruency symbol (≅).

The congruency symbol (≅) means that the elements (segments, angles or figures in general) have the same measure, i.e. they have equal lengths for the segments or equal measure for the angles.

For instance, it is an error saying that the segment AB is equal to the segment BC because, as you clearly see in the picture, they are not same; they have the same length but they are joining different points, that makes them different in essence, although they have the same length. They would be equal only if they are the same figure.

In mathematics, you must not say that two different segments or two different angles are equal but they are congruent, which means that their lengths are equal. The use of equal is reserved for numbers and variables, not for figures like segment, points, angles, polygons.

7 0
3 years ago
A cold tablet contains the following amounts of active ingredients: acetaminophen 325 mg, chlorpheniramine maleate 2 mg, and dex
kakasveta [241]

Answer:

The number of tablets that can be prepared is 3076.

Step-by-step explanation:

The total amount of active ingredients in the tablet is the sum of the amounts provided in the formula:

325 mg + 2mg+15 mg=342 mg

The percentages of each component in the formula are:

Acetaminophen:\frac{325mg*100}{342mg}=95.03%

Chlorpheniramine maleate:\frac{2mg*100}{342mg} =0.58%

Dextromethorphan hydrobromide:\frac{15mg*100}{342mg}=4.39%

If 1 Kg=10^{6} mg of acetaminophen is used, the needed amount of chlorpheniramine maleate would be:

\frac{10^{6} mg *0.58}{95.03}=6153.85 mg

Since there are 125 g = 125000 mg of chlorpheniramine maleate, there is enough of these ingredient to run the available acetaminophen out. Thus, the total amount of active ingredients that can be prepared with 1 kg of acetaminophen is:

\frac{10^{6}mg*100}{95.03}=1052307.7mg

Since each tablet weighs 342 mg, the number of tablets that can be prepared is:

\frac{1052307.7mg}{342mg}=3076.923

Which means that 3076 tablets can be prepared and a there will be a remanent of 0.923*342 mg = 315.69 mg of active ingredients.

7 0
3 years ago
What is the value of m in the ecuation 1/2m -3/4n = 16, when n =8 ?
soldi70 [24.7K]

Answer: m=44

Step-by-step explanation:

1/2m-3/4n = 16

1/2m-3/4(8) = 16

1/2m-24/4 = 16

1/2m-6 = 16

1/2m = 22

m=44

8 0
2 years ago
Naomi is a sales person. She sold a calculator for $86 and earned 20% commission. How much commission did Naomi earn?
Free_Kalibri [48]

Answer:

$17.20

Step-by-step explanation:

Total commission = cost x percent commission rate

86 x 20 % = 17.20

Total commission = $17.20

3 0
3 years ago
You roll three die. what is the probability that 5 will not appear on the die?
castortr0y [4]
No of out comes =216
favorable outcome=3 
<span>probability that 5 will not appear on the die=3/216</span>
7 0
3 years ago
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