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scoray [572]
3 years ago
9

Classify the triangle according to its sides and angles.

Mathematics
2 answers:
tester [92]3 years ago
5 0

Answer:

Side a = 8.6

Side b = 8.6

Side c = 8.6

Angle ∠A = 60° = 1.0472 rad = π/3

Angle ∠B = 60° = 1.0472 rad = π/3

Angle ∠C = 60° = 1.0472 rad = π/3

Step-by-step explanation:

slava [35]3 years ago
5 0
It is an equilateral triangle because all 3 sides are the same and all 3 angles are the same
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8 gallons of soil are needed to fill 6 large plant pots. How many gollons are needed to fill 8 pots? Give your answer as a mixed
sineoko [7]

Answer:

10 6/10

Step-by-step explanation:

8/6 = 1.333

1.333 x 8 = 10.667

as a mixed number: 10 6/10

8 0
3 years ago
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FrozenT [24]

Answer:

Step-by-step explanation:

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7 0
3 years ago
What is Permutations and Combinations?
marissa [1.9K]

Answer:

See below

Step-by-step explanation:

Permutation is to select an object then arrange it and it cares about the orders while Combination is about only selecting an object without caring the orders.

Permutation can be expressed in math as:

\displaystyle{_n P _r = \dfrac{n!}{(n-r)!} \ \ \ (n \geq r) }

where n is a number of total object and r is a number of selected object to arrange. Hence. n cannot be less than r.

Now let's see an example of permutation, suppose we have letter A, B and C. I'd like to know how many ways these words can be arranged:

Since there are 3 letters total and 3 selected letters to arrange then:

\displaystyle{_3 P _3 = \dfrac{3!}{(3-3)!}}\\\\\displaystyle{_3 P _3 = \dfrac{3 \times 2 \times 1}{0!}}\\\\\displaystyle{_3 P _3 = \dfrac{6}{1}}\\\\\displaystyle{_3 P _3 = 6}

Therefore, there are 6 ways to arrange the letters - we can also demonstrate visually:

ABC - 1

ACB - 2

BAC - 3

BCA - 4

CAB - 5

CBA - 6

Notice that if you do visually, you'll get the same answer as the calculation of permutation!

----

Combination can be expressed mathematically as:

\displaystyle{_n C _r = \dfrac{n!}{(n-r)!r!} = \dfrac{_n P _r}{r!} \ \ \ (n \geq r) }

The difference between permutation and combination is that you only find how many ways you can select object in combination. Therefore, no arrange and doesn't care about order, just ways to select.

Suppose we have same 3 letters: A, B and C. I want to find how many ways I can select these 3 letters:

Since there are 3 letters total and 3 selected letters:

\displaystyle{_3 C _3 = \dfrac{3!}{(3-3)!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{0!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{3!}}\\\\\displaystyle{_3 C _3 = 1}

Hence, there is only one way to select 3 letters. This makes sense because if you have 3 letters then you can only select 3 letters only one way.

5 0
2 years ago
Write the following as an inequality. x is greater than 4 and less than or equal to 8 Use x only once in your inequality. pls hu
Lapatulllka [165]

Answer:

8>_x>4

>_ this is greater than equal to symbol eight is greater than or equal to x is greater than 4

6 0
3 years ago
Which of the following are exterior angles? Check all that apply.
Romashka [77]

[|] Answer [|]

<u><em>6, 5, 4</em></u>

<u><em></em></u>

[|] Explanation [|]

<em>Exterior Angles:</em>

<u><em>Angles facing outward on a triangle</em></u>

Angles 6, 5 and

4 are not inside the main triangle. They are wide open. <u><em>Exterior simply means the outside of something.</em></u> Angles 6, 5 and 4 are the outside angles to the main triangle.

<u><em>_[|] Eclipsed [|] _</em></u>

8 0
3 years ago
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