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lesya692 [45]
3 years ago
15

a model of a plane is made using a scale of 1:5 if the real length of a plane is 20m what is the length of the model?

Mathematics
2 answers:
schepotkina [342]3 years ago
6 0

Answer:

4m

Step-by-step explanation:

1/5 of 20

ser-zykov [4K]3 years ago
5 0

Answer:

4

Step-by-step explanation:

you must scale down to size- 1 m in real life = 5 (unit) in the model

20/5= 40

hope this helps :)

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Arada [10]
On Monday she made 50 throws.
On Tuesday she made 56 throws.

a) The increase is just how much more she made the next day.
56 - 50 = 6
She had an increase of 6 free throws.

b) To find the percent increase, all you do is divide the two numbers.
56/50 = 1.12
To change that into a percentage, either multiply it by 100 or move the decimal point two places to the right.
1.12 × 100 = 112
She had a 112% increase in her free throws.

The answer is:
D. 6; 112%
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3 years ago
What is the coefficient of x2y3 in the expansion of (2x + y)5?
Zigmanuir [339]

Option C:

The coefficient of x^{2} y^{3} is 40.

Solution:

Given expression:

(2 x+y)^{5}

Using binomial theorem:

(a+b)^{n}=\sum_{i=0}^{n}\left(\begin{array}{l}n \\i\end{array}\right) a^{(n-i)} b^{i}

Here a=2 x, b=y

Substitute in the binomial formula, we get

(2x+y)^5=\sum_{i=0}^{5}\left(\begin{array}{l}5 \\i\end{array}\right)(2 x)^{(5-i)} y^{i}

Now to expand the summation, substitute i = 0, 1, 2, 3, 4 and 5.

$=\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}+\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1}+\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}+\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}

                                                            $+\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}+\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}

Let us solve the term one by one.

$\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}=32 x^{5}

$\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1} = 80 x^{4} y

$\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}= 80 x^{3} y^{2}

$\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}= 40 x^{2} y^{3}

$\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}= 10 x y^{4}

$\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}=y^{5}

Substitute these into the above expansion.

(2x+y)^5=32 x^{5}+80 x^{4} y+80 x^{3} y^{2}+40 x^{2} y^{3}+10 x y^{4}+y^{5}

The coefficient of x^{2} y^{3} is 40.

Option C is the correct answer.

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timofeeve [1]

Step-by-step explanation:

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How to find the discriminant of
Evgen [1.6K]

the discriminant   b^2 - 4ac when the equation is in the form of ax^2 +bx+c=0


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we need to get in it the standard form


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12x^2 -16x = -x


add x to each side


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12x^2 -15x -0 =0


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3 years ago
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360°/60°=6
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