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4 years ago

Answer for brainliest!

Mathematics

2 answers:

Sliva [168]4 years ago

8 0

Answer:

x 95

y 24

Step-by-step explanation:

hope this helped lol. brainliest would be fantastic

oksano4ka [1.4K]4 years ago

5 0

Yiur ams zoebd 46 btah

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Can someone please help me out with the last one<br> ASAP I WILL GIVE OUT BRAINLY

monitta

Answers:

x = 7
Area of shaded region = 162 square units

You may need to leave off the "square units" portion.

=============================================

Explanation:

For now, ignore the smaller rectangle and its dimensions. The larger rectangle has sides 3x and x+5, which I'll call the length and width.

L = 3x

W = x+5

The perimeter of any rectangle is P = 2(L+W). Plug in those values of L and W, and also the given perimeter P = 66. Isolate x.

P = 2(L+W)

2(L+W) = P

2(3x+x+5) = 66

2(4x+5) = 66

8x+10 = 66

8x = 66-10

8x = 56

x = 56/8

x = 7

-------------------

Now that we know x, we can find the area of the rectangles.

As you probably can guess, the shaded region is the difference of the two areas.

A = area of larger rectangle

A = (length)*(width)

A = (3x)*(x+5)

A = (3*7)*(7+5)

A = 252

B = area of smaller rectangle

B = (x+3)*(x+2)

B = (7+3)*(7+2)

B = 90

C = area of shaded region

C = A - B

C = 252 - 90

C = 162 square units is the area of the shaded region.

4 0

3 years ago

Francis owns a camping supply store and just put in an order for flashlights and sleeping

Harlamova29_29 [7]

Answer:

The number of sleeping bags bought is 17.

Step-by-step explanation:

If we let "x" be the number of the sleeping bags that were bought, we can make the following equation....

(5x)(12) + (x)(45) = 1785

By solving the equation we get....

(5x)(12) + (x)(45) = 1785

60x + 45x = 1785

105x = 1785

x = 1785 / 105

x = 17

There for the number of sleeping bags bough is 17.

6 0

3 years ago

#5 Find the unit rate of the

QveST [7]

The unit rate is 16 miles per gallon

6 0

3 years ago

I need help pls ill give brainlest

Oksi-84 [34.3K]

Answer:

bruh okie

Step-by-step explanation:

5 0

3 years ago

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