Use polar coordinates to find the volume of the given solid. Bounded by the paraboloid z = 6 + 2x2 + 2y2 and the plane z = 12 in the first octant

Answer:

disappoint

recall

disgusted

reunited

prepare

Answer: 0.089

Step-by-step explanation:

Math

Answer:

15.9

Step-by-step explanation:

Formula:

a² + b² = c²

6² + x² = 17²

36 + x² = 289

x² = 253

[tex]\sqrt{x^2} =\sqrt{253}[/tex]

x = 15.91

The value of x will be equal to x = 15.9.

The Pythagorean theorem says that the sum of the square of the perpendicular and the base will be equal to the square of the hypotenuse of the right-angle triangle.

Given that the sides of the triangle are,

a = 6,

b = x

c = 17

The value of x will be calculated as,

a² + b² = c²

6² + x² = 17²

36 + x² = 289

x² = 253

x = 15.91

Therefore, the value of x will be equal to 15.91.

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Answer: G would be your answer, or c = 8k + 24

Step-by-step explanation:

Answer:

it is G) c=8k + 24

Step-by-step explanation:

brainliest pls

Answer:

I think that the answer is 2.5 , the second item .

Answer:

IT SAYS IT 27 PEOPLE WOULD BE SEATED

Step-by-step explanation:

Answer:

12 50 I don't know

Step-by-step explanation:

Answer:

The time it will take is approximately 104,128 seconds

Step-by-step explanation:

The given parameters are;

The diameter of the tank, D = 24 ft.

Therefore, the tank radius, R = D/2 = 24 ft./2 = 12 ft.

The height of the tower on which the tank sits, h = 60 ft.

The hose through which the tank is filled is attached at the bottom of the tank

The radius of a slice of sphere, r = √(R² - y²) = √(12² - y²)

The power of the pump which is used to deliver the water = 1.5 horsepower

The volume of a slice of water in the tank, V = π·r²·Δx = π·(√(12² - y²))²·Δx ft³ = (144 - y²)·π·Δx ft³

The force of the slice, F = V·g·ρ = (144 - x²)·π·Δx ft³ × 62.5 lb/ft³

Let '[tex]y_i[/tex]' represent the height to which each slice is pumped in  the tank, we have;

y = R - (√(R² - x²)) = 12 - (√(144 - x²)

[tex]\lim\limits_{n \to \infty}\ \sum\limits_{i=0}^n (144 - x^2) \cdot \pi \times 62.5 \cdot y_i\ \Delta x \ lb[/tex]

The work done is therefore;

[tex]W = 62.5\times\pi \times \int\limits^{12}_{-12} {(144 - x^2) \cdot(12-(\sqrt{144-x^2} ) \ } \, dx = 632044.366475 \ ft. \cdot lb[/tex]

The work done in filling the tank, W = 632,044.366475 ft·lb

The work done in lifting the water to the base of the tank, W₂ = V·ρ·g×h

[tex]\therefore W_2 = 60 \times 62.5\times\pi \times \int\limits^{12}_{-12} {(144 - x^2) \ } \, dx = 632044.366475 \ ft. \cdot lb = 85273382.0257[/tex]

Therefore, W₂ = 85,273,382.0257 ft.lb

The total work done by the pump,

W = 85,273,382.0257 ft.lb + 632,044.366475 ft·lb = 85,905,426.3922 ft.lb

The time it will take the pump to fill the tank, 't', is given as follows;

1

Power, P = Work, W/(Time, t)

∴ t = W/P

P = 1.5 HP = 550 × 1.5 ft·lb/s = 825 ft·lb/s

t = 85,905,426.3922 ft.lb/(825 ft·lb/s) = 104,127.789566 s

The time it will take, t ≈ 104,128 seconds

Answer:

there is no attachments but   The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

Step-by-step explanation:

Answer:

y-12=1/3(x-6)

Step-by-step explanation:

Using the slope intercept form:

[tex]y - yo = m(x - xo) [/tex]

We can see from the given point (6,12) that yo = 12 and xo = 6. The slope, m, is 1/3. Plugging in the values gives us this equation in slope-intercept form that can then be converted to any other form.

Answer:14127

Step-by-step explanation:

Po=2100

T=11

D=4

Pt=po•2 t/d

Pt=2100•2 11/4

Pt=14127.0598=14127

Answer:

y = 55

x = 6

∠E = 70

Step-by-step explanation:

Hello There!

Segment DE and segment EF are congruent meaning that there opposite angles are congruent

So angle D and angle F are congruent

Because ∠D = 55 ∠F also equals 55

now we can solve for x

Remember all of the angles in a triangle add up to equal 180 so we use this equation to solve for x

180=55+55+11x+4

step 1 combine like terms

55+55+4=114

now we have

180=11x+114

step 2 subtract 114 from each side

180-114=66

now we have

66=11x

step 3 divide each side by 11

66/11=6

11x/11=x

we´re left with

x=6

Now we can plug in 6 to x to find the measure of angle E

6x11=66

66+4=70 so angle E = 70

Answer:

7/10

......................

Ans.......

YTC ...................................

Step-by-step explanation:

the answer for that should be C

Answer:

I think its c

Step-by-step explanation:

4 is the initial cost and 55 is the amount per ticket

Answer:

F = (-2,4); E = (-2,0); D = (2,0)

Step-by-step explanation:

F = 4 points from A, so by a scale factor of 2, it would be 2 times father away from A. The same thing applies for all of the other points; just find how much father A is from a point, then dilate that point by multiplying it by the scale factor, and settling the point closer or father from A.

Answer:

2x/5 <14

Step-by-step explanation:

Answer:

87 Feet

Step-by-step explanation:

It's been a while since I used trigonometry, but here is what I got.

We know that 44 degrees in the angle from the string to the base of the ground.

We also know that the length from that angle to the base of the tree is 90 feet.

So using the SOH, CAH, TOA rule we know that to figure out the opposite side (x) length using the adjacent side (90) length we need to use tangent of 44 degrees.

The equation should be tan(44°) = x/90

Tan(44°)=0.96589

Now you multiply that number by 90 to find x.

Hope that helped, let me know if it did or not.

Answer:

A. Mean

Step-by-step explanation:

Answer:

I will post 4,5 and 6 separately.

Given:

Width of the rectangular yard = x feet

Length of the rectangular yard = x+4 feet

Perimeter of the rectangular yard is:

[tex]P=4x+8[/tex]

Perimeter of the yard = 84 feet

To find:

The length of the rectangular yard.

Solution:

Perimeter of the yard is 84 feet.

[tex]4x+8=84[/tex]

[tex]4x=84-8[/tex]

[tex]4x=76[/tex]

Divide both sides by 4.

[tex]x=\dfrac{76}{4}[/tex]

[tex]x=19[/tex]

So, the width of the rectangular yard is 19 feet.

Length = [tex]19+4[/tex]

Length = [tex]23[/tex]

The length of the rectangular field is 23 feet.

Therefore, the correct option is B.

Answer:

Angle 2 = 34 degrees

Angle 4 = 34 degrees

Step-by-step explanation:

Angle 7 = Angle 1

180 - 146 = 34 degrees

so Angle 2 and 4 are 34 degrees, since they are congruent.

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

b. 59

Step-by-step explanation:

cosΘ = 42/82

Θ ~= 59.1898

Answer:

unm okay? is there anything more to the question?

Answer:

[ -3 +(-5)][-3-(-5)]

( -8)(2)

= 16

Step-by-step explanation:

where there's x put-3 and where there's y put-5

I don't see =0 so I don't believe you will have to equate further

Answer:

-16

Step-by-step explanation:

Hello There!

For this one we also need to plug in the values and solve

(-3+(-5)(-3-(-5)

first lets distribute the -3 to -3 and -(-5)

-3x-3=9

-3x5=-15

9-15=-6

now lets distribute the -5 to the -3 and -(-5)

-5x-3=15

-5x5=-25

-25+15=-10

-10-6=-16

so the answer would be -16

Answer:

Step-by-step explanation:

Linear

Answer:

Step-by-step explanation:

She poured ⅔×2 = 4/3 qt into the second bottle.

Her bottle holds 2×4/3 = 8/3 qt