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skelet666 [1.2K]

3 years ago

15

hank orders popcorn while watching a movie. the popcorn was served in a trapezoidal bucket. the height of the bucket is 10x-9 cm

, and the length of its broad bases are 10x-2 cm and 16x+10cm. which of th following formulas can be used to find the area, A, of the broad side of the trapezoidal bucket

1 answer:

Gnoma [55]3 years ago

7 0

Area of the trapezoidal bucket, A is 130x² - 77x - 36 cm²

Step-by-step explanation:

Step 1: Area of a trapezoid = 1/2 (Sum of parallel sides) × Height

Sum of parallel sides = (10x - 2) + (16x + 10)

= 26x + 8 = 2(13x + 4)

Height = 10x - 9

⇒ Area of the bucket = 1/2 × 2(13x + 4) (10x - 9)

= (13x + 4)(10x - 9) cm²

= 130x² - 117x + 40x - 36

A = 130x² - 77x - 36

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2 years ago

Read 2 more answers

A student solves the following equation and

Phoenix [80]

Answer:

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

Step-by-step explanation:

Considering the expression

$\frac{3}{a+2}-6\cdot \frac{a}{-4+a^2}=\frac{1}{a-2}$

$\frac{3}{a+2}-\frac{6a}{-4+a^2}=\frac{1}{a-2}$

$\mathrm{Find\:Least\:Common\:Multiplier\:of\:}a+2,\:-4+a^2,\:a-2:\quad \left(a+2\right)\left(a-2\right)$

$\mathrm{Multiply\:by\:LCM=}\left(a+2\right)\left(a-2\right)$

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right)-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right)=\frac{1}{a-2}\left(a+2\right)\left(a-2\right)$

as

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right):\quad 3\left(a-2\right)$

$-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right):\quad -6a$

$\frac{1}{a-2}\left(a+2\right)\left(a-2\right):\quad a+2$

so equation becomes

$3\left(a-2\right)-6a=a+2$

$-3a-6=a+2$

$-3a-6+6=a+2+6$

$-4a=8$

$\mathrm{Divide\:both\:sides\:by\:}-4$

$\frac{-4a}{-4}=\frac{8}{-4}$

$a=-2$

$\mathrm{Verify\:Solutions}$

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$\mathrm{Solve\:}\:a+2=0:\quad a=-2$

$\mathrm{Solve\:}\:-4+a^2=0:\quad a=2,\:a=-2$

$\mathrm{Solve\:}\:a-2=0:\quad a=2$

So the following points are undefined

$a=-2,\:a=2$

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

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2 years ago

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We could do it with algebra. But we can also do it the long way, which is
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Answer:

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