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Elenna [48]
3 years ago
6

Arrange 7 people into group(s) such that a group must have at least 3 people?

Mathematics
2 answers:
alina1380 [7]3 years ago
6 0
A group of 3️⃣
&
A group of 4️⃣
sukhopar [10]3 years ago
5 0

7 people can be divided into 2 groups, the first group having 4 people; and the second group having 3 people.

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They got a deal for tables and chairs in the shop. 45 tables cost 500 dollars. The deal gave them this same rate on chairs with
Alex Ar [27]

Answer:

$67

Step-by-step explanation:

45/500=×/750

x=67.50

8 0
3 years ago
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A child builds two wooden train sets. The path of one of the trains can be represented by the function y = 2cos2x, where y repre
Svet_ta [14]

Using a trigonometric equation, it is found that it will take 2.28 minutes until the two trains are first equidistant from the child.

<h3>What is the distance of each train to the child?</h3>

The distance of the first train is:

y_1 = 2\cos^{2}x

The distance of the second train is:

y_2 = 3 + \cos{x}

<h3>When are the trains equidistant to the child?</h3>

When y_1 = y_2, hence:

2\cos^{2}x = 3 + \cos{x}

The following substitution is made:

z = \cos{x}

Hence:

2z^2 = 3 + z

2z^2 - z - 3 = 0

Which is a quadratic equation with coefficients a = 2, b = -1, c = -3, hence:

\Delta = b^2 - 4ac = (-1)^2 - 4(1)(-3) = 13

z_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{1 + \sqrt{13}}{4} = 1.5

z_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{1 - \sqrt{13}}{4} = -0.65

Then, applying the trigonometric equation, considering that -1 \leq z \leq 1 due to the range of the cosine function:

z_2 = \cos{x_2}

x_2 = \arccos{z_2} = \arccos{-0.65} = 2.28

It will take 2.28 minutes until the two trains are first equidistant from the child.

You can learn more about trigonometric equations at brainly.com/question/2088730

8 0
3 years ago
How do I get the answer for this?
Rzqust [24]

1. Given: Note that on the top, it is shown right next to "given"

2. Vertical angles theorem: Angles vertically opposite of each other are congruent

3. Transitive Property: If ∠3 ≅ ∠2 (Given), and ∠2 ≅ ∠6, then ∠3 ≅ ∠6

hope this helps

5 0
3 years ago
A polygon is 283 in it means ?
laila [671]

Answer:

The polygons area is 283 in2

Step-by-step explanation:

lamo why u doin work on the weekend you should go nd enjoy it!

4 0
3 years ago
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I'll give you brainliest if you answer! All I need is help with number 15!
Sergio039 [100]

Answer:

120 minutes

Step-by-step explanation:

The lowest number that all three trains times can evenly go into is 120.  60 is not divisible by 8, but 120 is.  So is 12 and 10, so 120.

6 0
4 years ago
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