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3 years ago

What is the area of a square whose sides are 9.1 yards in length

Mathematics

1 answer:

Masteriza [31]3 years ago

4 0

Area of square = s^2, where s is the sides of the square
Area = (9.1)^2
Area = 82.81 yards

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A gas stove that normally sells for $749 is on sale at a 30% discount. What is the sale price of the gas stove

Virty [35]

The answer is 224.7 you got to turn 30% into decimal which is 0.30
then multiply 0.30 and 749 which equals 224.7

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3 years ago

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Factor n2 + 8n + 12 completely.

spin [16.1K]

Answer:

(+2)(+6)

Step-by-step explanation:

2+8+12

:) Hope this helped

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2 years ago

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use green's theorem to evaluate the line integral along the given positively oriented curve. c 9y3 dx − 9x3 dy, c is the circle

Rina8888 [55]

The line integral along the given positively oriented curve is -216π. Using green's theorem, the required value is calculated.

<h3>What is green's theorem?</h3>

The theorem states that,

$\int_CPdx+Qdy = \int\int_D(\frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y})dx dy$

Where C is the curve.

<h3>Calculation:</h3>

The given line integral is

$\int_C9y^3dx-9x^3dy$

Where curve C is a circle x² + y² = 4;

Applying green's theorem,

P = 9y³; Q = -9x³

Then,

$\frac{\partial P}{\partial y} = \frac{\partial 9y^3}{\partial y} = 27y^2$

$\frac{\partial Q}{\partial x} = \frac{\partial -9x^3}{\partial x} = 27x^2$

$\int_C9y^3dx-9x^3dy = \int\int_D(-27x^2 - 27y^2)dx dy$

⇒ $-27\int\int_D(x^2 + y^2)dx dy$

Since it is given that the curve is a circle i.e., x² + y² = 2², then changing the limits as

0 ≤ r ≤ 2; and 0 ≤ θ ≤ 2π

Then the integral becomes

$-27\int\limits^{2\pi}_0\int\limits^2_0r^2. r dr d\theta$

⇒ $-27\int\limits^{2\pi}_0\int\limits^2_0 r^3dr d\theta$

⇒ $-27\int\limits^{2\pi}_0 (r^4/4)|_0^2 d\theta$

⇒ $-27\int\limits^{2\pi}_0 (16/4) d\theta$

⇒ $-108\int\limits^{2\pi}_0 d\theta$

⇒ $-108[2\pi - 0]$

⇒ -216π

Therefore, the required value is -216π.

Learn more about green's theorem here:

brainly.com/question/23265902

#SPJ4

3 0

2 years ago

PLEASEE HEEELPPPP!!!

koban [17]

Practice proportionality. A 50 difference between 100 and 150 is less relevant than 50 in 25 and 75. Its like you have 1 billion dollars and i give you 10 dollars. Its worthless right? What if you have 20 dollars and i give you again 10 dollars, its half of what you have. See the difference? Same number but different value.

4 0

2 years ago

two angles are conplementary angles. One angle measures 59 the other measures (4n-1) what is the value of n

natulia [17]

Answer:

n = 8

Step-by-step explanation:

Complementary angles add up to 90°

So,

59° + (4n - 1) = 90°

4n - 1 = 90° - 59° = 31°

4n = 31° + 1° = 32°

4n° = 32°

n = 32 ÷ 4 = 8

8 0

3 years ago