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Varvara68 [4.7K]
3 years ago
5

( n^2 - 3n ) 4n = ________

Mathematics
1 answer:
vivado [14]3 years ago
6 0

Answer:

4n³ - 12n²

Step-by-step explanation:

Just distribute the 4n inside of the parenthese.

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Quadrilateral ABCD ​ is inscribed in this circle.
Alecsey [184]
The sum of all interior angles in a polygon is

180(n-2), where n = sides, well, this is a QUADrilateral, so it has 4 sides, so the total is 360°.

now, let's find what angle C is first,

\bf \stackrel{A}{(2x-40)}+\stackrel{B}{(116)}+C+\stackrel{D}{(x)}=360\implies C+3x+76=360
\\\\\\
C+3x=284\implies C=284-3x

now, recall the "inscribed quadrilateral conjecture", where opposite angles are "supplementary angles", thus

\bf \stackrel{\measuredangle A}{(2x-40)}+\stackrel{\measuredangle C}{(284-3x)}=180\implies -x+244=180
\\\\\\
64=x\\\\
-------------------------------\\\\
\measuredangle A=2(64)-40
8 0
3 years ago
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Justin loans his uncle $2,500. He charges 6.5% simple interest. His uncle pays him back in 2.5 years. How much interest does his
ExtremeBDS [4]
I think 600 I’m not sure tho
3 0
2 years ago
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The figure shown in the right is made up of a square and a circle. Find the perimeter of the shaded region.
Tasya [4]

Answer:

B. 12 + 2pi cm

Step-by-step explanation:

The shaded region is made up of 3 square sides and one half circle. The three square sides are each 4, which means that those altogether equal 12.

The circle's circumference can be found by using the equation c = (d)pi

The diameter is 4, so the whole circumference is 4pi. However, you only need half of a circle, which is represented by 2pi.

Add them all together, and you get 12 + 2pi cm.

6 0
3 years ago
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In ΔLMN, n = 92 inches, ∠N=46° and ∠L=11°. Find the length of l, to the nearest inch.
Vilka [71]

Answer:

24 inches

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Sine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}

In triangle LMN:

We can find the length of l using sine rule:

\frac{l}{sinL}=\frac{n}{sinN}  \\\\substituting:\\\\\frac{l}{sin(11)}=\frac{92}{sin(46)}  \\\\l=\frac{92}{sin(46)}*sin(11)\\\\k=24\ inches \\

5 0
2 years ago
Complete the Magic Square.
quester [9]

Answer:

+5

Step-by-step explanation:

So you can see the 5 pattern, so you add 9+5= 14 which goes in the middle square and 14+5=18 in the left square

Now between 18 and 11 it is 7 so you subtract 7 which equals 4 then - 5= -1 then -5= -6

5 0
3 years ago
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