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3 years ago

Find the perimeter of the shape below and explain your process. Bruh it’s 50 points.

Mathematics

2 answers:

frosja888 [35]3 years ago

5 0

Answer:

The perimeter is 6x+8

Step-by-step explanation:

2(2x+3) +2(x+1)

4x+6+2x+2

6x+8

Goshia [24]3 years ago

5 0

First multiply both sides by 2 because perimeter is all sides added

2(2x + 3) + 2(x+1)

then simplify

4x + 6 + 2x + 2

simplify again

6x + 8

hope this helps :)

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A recipe for 5 people uses 300 g of flour. How

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3 years ago

What is the area in square centimeters of the trapezoid below

Dovator [93]

Answer:

39.6 cm²

Step-by-step explanation:

The formula for the area of a trapezoid is given as:

Area of a Trapezoid = 1/2(a + b) h

Where, from the question:

a = 8.9 cm

b = 5.5 cm

h = 5.5cm

Hence,

1/2 (8.9cm + 5.5cm) × 5.5cm

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5 0

3 years ago

Find the general solution to 1/x dy/dx - 2y/x^2 = x cos x, y(pi) = pi^2

Finger [1]

Answer:

$\frac{y}{x^2}=\sin x+\pi$

Step-by-step explanation:

Consider linear differential equation $\frac{\mathrm{d} y}{\mathrm{d} x}+yp(x)=q(x)$

It's solution is of form $y\,I.F=\int I.F\,q(x)\,dx$ where I.F is integrating factor given by $I.F=e^{\int p(x)\,dx}$ .

Given: $\frac{1}{x}\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{2y}{x^2}=x\cos x$

We can write this equation as $\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{2y}{x}=x^2\cos x$

On comparing this equation with $\frac{\mathrm{d} y}{\mathrm{d} x}+yp(x)=q(x)$ , we get $p(x)=\frac{-2}{x}\,\,,\,\,q(x)=x^2\cos x$

I.F = $e^{\int p(x)\,dx}=e^{\int \frac{-2}{x}\,dx}=e^{-2\ln x}=e^{\ln x^{-2}}=\frac{1}{x^2}$ { formula used: $\ln a^b=b\ln a$ }

we get solution as follows:

$\frac{y}{x^2}=\int \frac{1}{x^2}x^2\cos x\,dx\\\frac{y}{x^2}=\int \cos x\,dx\\\\\frac{y}{x^2}=\sin x+C$

{ formula used: $\int \cos x\,dx=\sin x$ }

Applying condition: $y(\pi)=\pi^2$

$\frac{y}{x^2}=\sin x+C\\\frac{\pi^2}{\pi}=\sin\pi+C\\\pi=C$

So, we get solution as :

$\frac{y}{x^2}=\sin x+\pi$

4 0

3 years ago

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Mademuasel [1]

The answer is 100 because 5(20) equals 100

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4 years ago