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3 years ago

9

If you travel 425 miles on 12.6 gallons of gasoline, how many miles per gallon did your car get? Please explain how you figured

this out

1 answer:

oee [108]3 years ago

7 0

Answer:

Step-by-step explanation:

Lets see... Miles per gallon...Miles/gallon...425 miles/12.6 gallons = 33.73 miles/gallon = 33.73 miles per gallon

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Evaluate the line integral using the fundamental theorem of line integrals. use a computer algebra system to verify your results

mario62 [17]

$\dfrac{\partial f}{\partial x}=\cos x\sin y\implies f(x,y)=\sin x\sin y+g(y)$

$\dfrac{\partial f}{\partial y}=\sin x\cos y=\sin x\cos y+\dfrac{\mathrm dg}{\mathrm dy}$
$\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C$

$f(x,y)=\sin x\sin y+C$

$\displaystyle\int_{\mathcal C}\cos x\sin y\,\mathrm dx+\sin x\cos y\,\mathrm dy=\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f\left(\frac{3\pi}2,\frac\pi2\right)-f(0,-\pi)=-1$

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3 years ago

WILL GIVE BRANLIEST!!! Pls help! Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the

iren [92.7K]

Let , coordinate of points are P( h,k ).

Also , k = 3h + 1

Distance of P from origin :

$d=\sqrt{h^2+k^2}$

Distance of P from ( -3, 4 ) :

$d=\sqrt{(h+3)^2+(k-4)^2}$

Now , these distance are equal :

$h^2+(3h+1)^2=(h+3)^2+(3h+1-4)^2\\\\h^2+(3h+1)^2=(h+3)^2+(3h-3)^2$

Solving above equation , we get :

$P=(\dfrac{16}{21},\dfrac{23}{7})$

Hence , this is the required solution.

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3 years ago

A man standing on a lighthouse at a height of 124 feet sights two boats directly in front of him. One is at an angle of depressi

Ksivusya [100]

Answer:

$125\ ft$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ABC find the length side BC

we know that

$tan(62\°)=\frac{124}{BC}$

$BC=\frac{124}{tan(62\°)}$

step 2

In the right triangle ABD find the length side BD

we know that

$tan(33\°)=\frac{124}{BD}$

$BD=\frac{124}{tan(33\°)}$

step 3

we know that

The distance between the two boats is the length side CD

$CD=BD-BC$

substitute the values

$CD=\frac{124}{tan(33\°)}-\frac{124}{tan(62\°)}=125\ ft$

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3 years ago

Hyo-Jin makes bracelets and sells them on an online craft website. Last month, she sold 6 bracelets. After paying the website a

MissTica

The answer at the end of the day would be 4

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3 years ago

I have 12 Apple and I put the theme 6 baskets

sp2606 [1]

Answer:

you put 2 apples in each basket

Step-by-step explanation:

draw 6 baskets and put two apples in each one to add up to 12

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3 years ago