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3 years ago

George drives 4 hours. Each hour the gas tank changes by -¼ gallon. What is the total change in the gallons of gas in the tank?

Mathematics

1 answer:

Bad White [126]3 years ago

7 0

in romania is the best solution.Put your car on gas

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Convert the integral below to polar coordinates and evaluate the integral.

White raven [17]

I suppose the integral is

$\displaystyle\int_0^5\int_y^{\sqrt{25-y^2}} xy\,\mathrm dx\,\mathrm dy$

The integration region corresponds to a sector of a cirlce with radius 5 subtended by a central angle of π/4 rad. We can capture this region in polar coordinates by the set

$R=\left\{(r,\theta)\mid0\le r\le5,0\le\theta\le\dfrac\pi4\right\}$

Then $x=r\cos\theta$ , $y=r\sin\theta$ , and $\mathrm dx\,\mathrm dy=r\,\mathrm dr\,\mathrm d\theta$ . So the integral becomes

$\displaystyle\iint_Rxy\,\mathrm dx\,\mathrm dy=\int_0^{\pi/4}\int_0^5r^3\sin\theta\cos\theta\,\mathrm dr\,\mathrm d\theta=\frac{625}{16}$

7 0

3 years ago

The first floor of a house consists of a kitchen, playroom, and dining room. The areas of the kitchen, playroom, and dining room

Korolek [52]

Answer:

The value of one box in the tape diagram will be 21 square feet

Step-by-step explanation:

Here, we have the total ratio added as 4 + 3 + 2 = 9

So the area of one box on the tape diagram will be the combined area divided by the total square feet

Mathematically, that will be;

189 square feet/9 = 21

7 0

3 years ago

Read 2 more answers

You were assigned 225 pages to read. You finished ¼ of them. How many pages do you have left to read?

DENIUS [597]

Answer: 169 pages

Step-by-step explanation:

225-[1/4(225)]

225-56.25 ROUND DOWN

225-56

169 pages

7 0

3 years ago

Read 2 more answers

What is the value of x?

Serjik [45]

Answer:

x = 32

Step-by-step explanation:

Each angle of the equilateral triangle is 60°.

(2x -4)° = 60°

x -2 = 30 . . . . . . divide by 2°

x = 32

5y° = 60°

y = 12 . . . . . . . . . divide by 5°

7 0

3 years ago

Please help me with this problem..

charle [14.2K]

Answer:

y = 6

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 3 when x = 9, then

k = $\frac{y}{x}$ = $\frac{3}{9}$ = $\frac{1}{3}$ , thus

y = $\frac{1}{3}$ x ← equation of variation

When x = 18, then

y = $\frac{1}{3}$ × 18 = $\frac{18}{3}$ = 6

5 0

3 years ago