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Anarel [89]
3 years ago
10

Multiply (6v+5)(412-2v+7) then simplify the expression

Mathematics
2 answers:
Lunna [17]3 years ago
5 0
Simplified answer,, -12v^2+2504v+2095
faust18 [17]3 years ago
4 0

Answer: =-12v^2+2504v+2095

Step-by-step explanation:

Given the expression:

(6v+5)(412-2v+7)

You need to apply Distributive property, but first remember the multiplication of signs:

(+)(+)=+\\(+)(-)=-\\(-)(-)=+

Then:

(6v+5)(412-2v+7)=2472v-12v^2+42v+2060-10v+35

Finally, you can simplify the expression by adding the like terms:

=-12v^2+2504v+2095

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2nd, 3rd and 4th answers are true

Step-by-step explanation:

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6 0
3 years ago
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dimulka [17.4K]

Answer:

12 is 3 percent of 40.

Step-by-step explanation:

If you divide 12 by 40, you get 0.3. 0.3 as a fraction is 3/100. So, it would be 3% of 100.

6 0
3 years ago
An oval track is made by erecting semicircles on each end of a 44 m by 88 m rectangle. Find the length of the track and the area
Dmitry_Shevchenko [17]

Answer:

The length of the track is 247 m.

The area enclosed by the track is  5391 . 76 sq m.

Step-by-step explanation:

The length of the rectangle  = 88 m

The width of the rectangle  =  44 m

Now, as we know the semicircles are at the end of rectangular track.

So, the diameter of semicircles = Width of the rectangle

⇒ The diameter of the semi circle  = 44 m

⇒Radius of the semi circle  = 44/2 = 22 m

TOTAL LENGTH OF TRACK  

= 2 ( Length of rectangle)  + 2 (Circumference of 1 semicircle)

= 2 x (88 m)  + 2 (\frac{2\pi r}{2})

= 176 m + 2 (3.14)(22 m)  = 176 + 71.08 =  247 m

Hence, the length of the track is 247 m

TOTAL AREA OF TRACK  

= (Area of rectangle)  + 2 (Area of 1 semicircle)

= (Length x Width)  +    2 (\frac{\pi r^2}{2})

=  (44  m x 88 m) +  (3.14)(22 m)(22 m)   = (3872  + 1519.76) sq m

=  5391 . 76 sq m

Hence, the area enclosed by the track is  5391 . 76 sq m.

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3 years ago
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Aleksandr [31]

Answer:

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Step-by-step explanation:

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