What is the area of this parallelogram?
A. 104 m2
B. 88 m2
C. 56 m2
D. 32 m2

help

Answer:

68.47

Step-by-step explanation:

Given that:

The surface of the paraboloid [tex]z = 2(x^2 +y^2) \ for \ 0 \le z \le 8[/tex]

TO find the area of the given paraboloid, we need to first determine [tex]z_x \ and \ z_y[/tex].

This is because the surface area can be determined by using the formula:

[tex]\int \int _R \sqrt{z_x^2+z_y^2+ 1}\ dA[/tex]

Thus;

[tex]z_x = \dfrac{\partial }{\partial x}(2 ( x^2 +y^2) )[/tex]

[tex]z_x = 4x[/tex]

[tex]z_y = \dfrac{\partial }{\partial y }(2(x^2 +y^2))[/tex]

[tex]z_y = 4y[/tex]

Now;

[tex]\sqrt{z_x^2 + z_y^2 +1 } = \sqrt{(4x)^2 + (4y)^2+1 } \\ \\ \implies \sqrt{16x^2+16y^2+1}[/tex]

[tex]\implies \int \int \sqrt{16x^2 +16y^2+1}\ d x dy \\ \\ \implies \int \int \sqrt{16(x^2+y^2)+1 } \ dxdy[/tex]

Using the polar coordinate since the paraboloid shows the projection of a circle with [tex]x^2+y^2 =4[/tex]

[tex]\int \int \sqrt{16(x^2+y^2)+1 } \ dxdy = \int^{2 \pi}_{0} \ \int^{2}_{0} r \sqrt{16r^2+1} \ dr d\theta \\ \\ \implies \dfrac{1}{48} \Big ( ( 16r^2 +1 )^{\dfrac{3}{2}}\Big) ^2_0 \ \ \int ^{2 \pi}_{0} \ d \theta \\ \\ \implies \dfrac{2 \pi}{48} \Big ( (65^{\dfrac{3}{2}} -1 ) \Big) \\ \\ \implies \dfrac{2 \pi}{48}(523.046) \\ \\ \implies \mathbf{68. 47}[/tex]

Answer:

(-5,-3)

Step-by-step explanation:

The answer is (-5,-3)

Answer:

9weeks 2days = (9 × 7) + 2 = 63 +2=65 days

Step-by-step explanation:

Answer:

65 days

Step-by-step explanation: 7 days in a week so times that by 9 because its 9 weeks and that is 63 and add 2 more days

Answer:

35%

Step-by-step explanation:

This is simple, just use the formula: Number1 / Number 2 x 100 when you use it it will look like: 56/160x100 which 56/100 is 0.35 and 0.35x100 is 35%

Answer:

504 in.^2

Step-by-step explanation:

Area = base times height

Answer:

    1,080 in.2

    1,260 in.2

✔ 1,620 in.2

    2,160 in.2

or C for the lazy people, don't sweat it - im lazy too

Answer:

67*4 = 268 cards

hope this helps

Step-by-step explanation:

Answer:

you just need to *

Step-by-step explanation:

67 * 4 = 268!

have a lovely day and god bless you and ur family ! hope this helped

-lei

Answer:

Yes.

Step-by-step explanation:

A rational number is a number that is a result when you divide two integers.

x= -1/2 is the answer to your question. Mark as brainliest!!!!

Answer:

x = 88

Step-by-step explanation:

Becuase this is a quadrilateral,  the opposite angles total 180 degrees. So, the opposite of x is 92. That would mean that x + 92 = 180. We subtract 92 from both non-variable sides to get the x by itself. 180 - 92 = 88. 92 - 92 = 0. this leaves us with X = 88

hope this helps

Answer:

0

Step-by-step explanation:

0 is an integer.

plz mark as brainliest

Answer:

150ft²

Step-by-step explanation:

surface area = (2×½×8×3)+(8+5+5)×7

= 24+126

= 159 ft²

Answer:

-37 / 4

Step-by-step explanation:

Answer:

−f(x)=2x+90f

Step-by-step explanation:

he paid for 2 percent of the total cost of the car

Answer:

[tex]\sqrt[4]{768x^8y^5} = 4x^2y \sqrt[4]{3y}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt[4]{768x^8y^5}[/tex]

Required

Simplify

We have:

[tex]\sqrt[4]{768x^8y^5}[/tex]

Expand 768

[tex]\sqrt[4]{768x^8y^5} = \sqrt[4]{256 * 3 * x^8y^5}[/tex]

Split

[tex]\sqrt[4]{768x^8y^5} = \sqrt[4]{256} * \sqrt[4]{3 * x^8y^5}[/tex]

[tex]\sqrt[4]{256} = 4[/tex]

So, we have:

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3 * x^8y^5}[/tex]

Expand y^5

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3 * x^8*y *y^4}[/tex]

Rewrite as:

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3*y * x^8 *y^4}[/tex]

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3y * x^8 *y^4}[/tex]

Split

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3y} * \sqrt[4]{x^8 *y^4}[/tex]

Apply the following law of indices

[tex]\sqrt[a]{b} = b^\frac{1}{a}[/tex]

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3y} * (x^8 *y^4)^\frac{1}{4}[/tex]

Expand

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3y} * x^{8*\frac{1}{4}} *y^{4*\frac{1}{4}}[/tex]

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3y} * x^2y[/tex]

Rewrite as:

[tex]\sqrt[4]{768x^8y^5} = 4* x^2y* \sqrt[4]{3y}[/tex]

[tex]\sqrt[4]{768x^8y^5} = 4x^2y \sqrt[4]{3y}[/tex]

Answer:

45

Step-by-step explanation:

volume=length x width x height

5x3x3=45

Answer:

698.52 Euro

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

5x + 4y = 8

5*0 + 4y = 8

y = 8/4

y=2

Answer:

x = 12

Step-by-step explanation:

We will label the unknown interior angle of the triangle d.

14x - 19 + d = 180

14x + d = 199

d = 199 - 14x

199 - 14x + 3x + 9x + 7 - 2 = 180

199 - 2x +5 = 180

204 - 2x = 180

204 = 180 + 2x

2x = 24

x = 12

Answer:

B. 60°

Step-by-step explanation:

minor arc KM = 2×30° = 60°

Answer:

options?

Step-by-step explanation:

It would be any number that is less than 16 because starting with the original question:

x-6>10

By canceling out the -6:

x-6+6 > 10+6

x > 16

Answer:

Step-by-step explanation:

BED is the same angle as AEC

CEB is 180 - 150 (AEC) =30

Answer:

8.3 feet.

Step-by-step explanation:

Area = (h/2)(a + b)   where h = height and a and b are the lengths of the 2 bases.

70.55 = (h/2)(11.4 + 5.6)

(h/2)(17) = 70.55

h/2 = 70.55/17

h = (2 * 70.55) / 17

h = 8.3 feet.

Answer:

C : VALID

Step-by-step explanation:

8

Step-by-step explanation:

8 × $70 = $560

20 × $140= $2800

$560 + $2800 = $3360

Answer:

(3d+3) + (3d+3)

Step-by-step explanation:

Answer:

(a) The units of f'(s) is kilometer per liter

(b) [tex]\triangle = 2.22 * 10^{-4}[/tex]

Step-by-step explanation:

Given

[tex]C = f(s)[/tex]

[tex]f(80) = 0.015, f(90) = 0.02, f(100) = 0.027[/tex]

Solving (a): Unit of f'(s)

From the question, we understand that:

[tex]C = f(s)[/tex]

and

[tex]C = Litre/km[/tex] --- units

f'(s) is the inverse of C.

Hence:

i.e.

[tex]f'(s) = C^{-1}[/tex] --- units

So, we have:

[tex]f'(s) = (Litre/km)^{-1}[/tex]

[tex]f'(s) = Km/Litre[/tex]

Solving (b): Instantaneous rate of change at:

[tex]s = 90[/tex]

We have:

[tex]C = f(s)[/tex]

The change is calculated as:

[tex]\triangle = \frac{f(s)}{s}[/tex]

Substitute 90 for s

[tex]\triangle = \frac{f(90)}{90}[/tex]

Given that: [tex]f(90) = 0.02[/tex]

[tex]\triangle = \frac{0.02}{90}[/tex]

[tex]\triangle = 0.000222[/tex]

[tex]\triangle = 2.22 * 10^{-4}[/tex]

Answer:

-5

-8

49

Step-by-step explanation:

if a circle has a enter of (-5,-8) the first part looks like

(x+5)²+(y+8)²

to find the radius just plug in x=2 and y= -8

(2+5)²+(-8+8)²

7²+0=49