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3 years ago

What's the best approximation for the area of a semi circle with a diameter of 11.8 feet?

Mathematics

1 answer:

IgorC [24]3 years ago

5 0

11.8/2 = 5.9
5.9 squared is <span>34.81
34.81 multiplied by pi is </span>109.358840271

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2x-5/5 +x-2=3(x+5). Find the value of x?

deff fn [24]

Answer:

Step-by-step explanation:

$\frac{2x - 5}{5} + x - 2 = 3(x + 5)$

$\frac{2x - 5}{5} + x - 2 = 3x + 15$

$\frac{2x - 5}{5} = 2x + 17$

$2x - 5 = 10x + 85$

$-8x = 90$

$x = \frac{-45}{4}$

5 0

3 years ago

What is the volume of a rectangular prism that is 3 cm by 7 cm by by 7 cm?

natali 33 [55]

Answer:

147 $cm^{3}$

Step-by-step explanation:

7*7*3 = 147

volume of a rectangular prism = length*width*height, in this case, 7*7*3

hope this helps :)

3 0

3 years ago

2×-20/3 =2x help me please

Llana [10]

Answer:

x = - 5

Step-by-step explanation:

Given

$\frac{2x-20}{3}$ = 2x ( multiply both sides by 3 to clear the fraction )

2x - 20 = 6x ( subtract 2x from both sides )

- 20 = 4x ( divide both sides by 4 )

- 5 = x , that is x = - 5

4 0

3 years ago

D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x

MA_775_DIABLO [31]

The solution depends on the value of $k$ . To make things simple, assume $k>0$ . The homogeneous part of the equation is

$\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0$

and has characteristic equation

$r^2-16k=0\implies r=\pm4\sqrt k$

which admits the characteristic solution $y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}$ .

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be $y_p=ae^{4x}+be^x$ . Then

$\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x$

So you have

$16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x$
$(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x$

This means

$16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}$
$b(1-16k)=30\implies b=\dfrac{30}{1-16k}$

and so the general solution would be

$y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x$

8 0

3 years ago

Make w the subject of the formula p = 2w+7 divided by 12

Reptile [31]

Answer:

w = (12p - 7) / 2

Step-by-step explanation:

p = (2w + 7) / 12

12p = 2w + 7

2w = 12p - 7

w = (12p - 7) / 2

4 0

2 years ago