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3 years ago

PLEASE HELP!!!!!!!! Identify the angle of elevation.

Mathematics

1 answer:

I am Lyosha [343]3 years ago

8 0

Answer:

Step-by-step explanation:

Hope it helps you in your learning process.

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How can I solve this equation X-5=0.1(x+5)

Artist 52 [7]

Answer:

X=6.1

Step-by-step explanation:

x-5=0.1(x+5)

x-5=0.1x+0.5 (distribute 0.1)

x=0.1x+0.5+5 (add 5 to each side)

x-0.1x=5.5 (subtract 0.1x from each side)

0.9x=5.5 (combine like terms)

x=5.5/0.9 (divide by 0.9 on both sides)

x=6.1 (simplify)

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3 years ago

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Using identities, find a)(2 + 3) 2 b) (x+2y) (x-2y)

shutvik [7]

Pop ok you see so the answer here would be frantically elastic

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2 years ago

What is 8.4 x 10^-6 in standard notation ?

FinnZ [79.3K]

Is the answer 0.0000084

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3 years ago

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Suppose that a spherical droplet of liquid evaporates at a rate that is proportional to its surface area: where V = volume (mm3

Alex

Answer:

V = 20.2969 mm^3 @ t = 10

r = 1.692 mm @ t = 10

Step-by-step explanation:

The solution to the first order ordinary differential equation:

$\frac{dV}{dt} = -kA$

Using Euler's method

$\frac{dVi}{dt} = -k *4pi*r^2_{i} = -k *4pi*(\frac {3 V_{i} }{4pi})^(2/3)\\ V_{i+1} = V'_{i} *h + V_{i} \\$

Where initial droplet volume is:

$V(0) = \frac{4pi}{3} * r(0)^3 = \frac{4pi}{3} * 2.5^3 = 65.45 mm^3$

Hence, the iterative solution will be as next:

i = 1, ti = 0, Vi = 65.45

$V'_{i} = -k *4pi*(\frac{3*65.45}{4pi})^(2/3) = -6.283\\V_{i+1} = 65.45-6.283*0.25 = 63.88$

i = 2, ti = 0.5, Vi = 63.88

$V'_{i} = -k *4pi*(\frac{3*63.88}{4pi})^(2/3) = -6.182\\V_{i+1} = 63.88-6.182*0.25 = 62.33$

i = 3, ti = 1, Vi = 62.33

$V'_{i} = -k *4pi*(\frac{3*62.33}{4pi})^(2/3) = -6.082\\V_{i+1} = 62.33-6.082*0.25 = 60.813$

We compute the next iterations in MATLAB (see attachment)

Volume @ t = 10 is = 20.2969

The droplet radius at t=10 mins

$r(10) = (\frac{3*20.2969}{4pi})^(2/3) = 1.692 mm\\$

The average change of droplet radius with time is:

Δr/Δt = $\frac{r(10) - r(0)}{10-0} = \frac{1.692 - 2.5}{10} = -0.0808 mm/min$

The value of the evaporation rate is close the value of k = 0.08 mm/min

Hence, the results are accurate and consistent!

5 0

3 years ago

Write the fraction in simplest from 8/10

AleksandrR [38]

Divide common factors from both numerator and denominator.

Divide 2

8/2 = 4

10/2 = 5

8/10 simplified = 4/5

hope this helps

7 0

3 years ago

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