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4 years ago

What Is the width of 12 1/2 and 103 1/8

2 answers:

8 0

Answer=8.25 or 8 1/4

Area=103 1/8
Length=12 1/2

Okay, so we know the Area and Length of a rectangle, and are just trying to solve for the width.

The formula for the area of a rectangle is:
Area=length*width

Now lets fill in the data that we know

103 1/8=12 1/2 * width
to get the width by itself, divide both sides by 12 1/2
8.25=width

Answer=8.25 or 8 1/4

Vlad1618 [11]4 years ago

3 0

There is no with. If you're trying to divide it would be 4/33.
Hope this solves your answer.

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Simplify ( root 3 + root 7) over 2

Gala2k [10]

Answer:

5 r o 2 t

Step-by-step explanation:

(√3+√7)²

We know ,[(a+b)²=a²+2ab+b²]

=>(√3+√7)²=(√3)²+2(√3)(√7)+(√7)²

=>(√3+√7)²=3+2√21+7

=>(√3+√7)²=10+2√21

3 0

3 years ago

Calculate the total area of the shaded region.

LUCKY_DIMON [66]

so hmmm seemingly the graphs meet at -2 and +2 and 0, let's check

$\stackrel{f(x)}{2x^3-x^2-5x}~~ = ~~\stackrel{g(x)}{-x^2+3x}\implies 2x^3-5x=3x\implies 2x^3-8x=0 \\\\\\ 2x(x^2-4)=0\implies x^2=4\implies x=\pm\sqrt{4}\implies x= \begin{cases} 0\\ \pm 2 \end{cases}$

so f(x) = g(x) at those points, so let's take the integral of the top - bottom functions for both intervals, namely f(x) - g(x) from -2 to 0 and g(x) - f(x) from 0 to +2.

$\stackrel{f(x)}{2x^3-x^2-5x}~~ - ~~[\stackrel{g(x)}{-x^2+3x}]\implies 2x^3-x^2-5x+x^2-3x \\\\\\ 2x^3-8x\implies 2(x^3-4x)\implies \displaystyle 2\int\limits_{-2}^{0} (x^3-4x)dx \implies 2\left[ \cfrac{x^4}{4}-2x^2 \right]_{-2}^{0}\implies \boxed{8} \\\\[-0.35em] ~\dotfill$

$\stackrel{g(x)}{-x^2+3x}~~ - ~~[\stackrel{f(x)}{2x^3-x^2-5x}]\implies -x^2+3x-2x^3+x^2+5x \\\\\\ -2x^3+8x\implies 2(-x^3+4x) \\\\\\ \displaystyle 2\int\limits_{0}^{2} (-x^3+4x)dx \implies 2\left[ -\cfrac{x^4}{4}+2x^2 \right]_{0}^{2}\implies \boxed{8} ~\hfill \boxed{\stackrel{\textit{total area}}{8~~ + ~~8~~ = ~~16}}$

7 0

2 years ago

The local humane society currently has 60 cats if 300 animals are in the shelter what percent are the cats

Kaylis [27]

20% are cats.

20 cats/300 total animals=0.2

0.2 is the same thing as 20%.

7 0

3 years ago

Please help me solve

telo118 [61]

Answer:

(0, -1)

Step-by-step explanation:

x becomes x - 6, so subtract 6 from the x-coordinate.

y becomes y - 1, so subtract 1 from the y-coordinate.

P(6, 0) -----> P'(0, -1)

7 0

3 years ago

What is the unknown fraction?

daser333 [38]

Answer:

A. 31/100

Step-by-step explanation:

Change 3/10 to hundreds:

3/10 × 10/10 = 30/100

The denominator (the bottom number) must be 100.

61 - 30 is 31.

The missing number is 31/100. See image.

4 0

2 years ago