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3 years ago

5

The scale of map indicates that 5 inches represents 40 miles. If the distance between two locations on a map is represented by 8

inches, how far apart are the locations?

1 answer:

shutvik [7]3 years ago

4 0

I believe it is 64 miles.

Hope this helps! :)

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german

2 6/12 is the right answer

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3 years ago

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The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. Cross sections of the solid perpendicular to

Usimov [2.4K]

The two curves intersect at two points, (0, 0) and (8, 8):

$x^2=8y\implies y=\dfrac{x^2}8$

$y^2=\dfrac{x^4}{64}=8x\implies\dfrac{x^4}{64}-8x=0\implies\dfrac{x(x-8)(x^2+8x+64)}{64}=0$

$\implies x=0,x=8\implies y=0,y=8$

The area of a semicircle with diameter $d$ is $\dfrac{\pi d^2}8$ . The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of $x$ between 0 and 8. Over this interval, $y^2=8x\implies y=\sqrt{8x}$ and $\sqrt{8x}>\dfrac{x^2}8$ , so the volume of this solid is given by the integral

$\displaystyle\frac\pi8\int_0^8\left(\sqrt{8x}-\dfrac{x^2}8\right)^2\,\mathrm dx=\frac{288\pi}{35}$

6 0

3 years ago

Fill in the missing number to complete the factorization:

IrinaVladis [17]

The last terms must multiply to the last terms (confusing)

example

if ax^3+bx^2+c+d=(ex+f)(gx+h)(jx+k) then
d=fhk

so

70 is last term
we got 2 and 5
2*5*?=70
10*?=70
divide by 10
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the missing number is 7

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3 years ago

Find the value of x.

vredina [299]

Answer:

77

Step-by-step explanation:

a tirangle has 180 degrees so 180-53-50=77

and x value is 77, that is easy.

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3 years ago

Ernie bought three 12-packs of regular cola, four 12-packs of diet cola, and two 6-packs of orange soda. How many cans did he bu

Liono4ka [1.6K]

Answer:

Ernie bought 96 can of soda

Step-by-step explanation:

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2 years ago