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3 years ago

I took a picture of the question

Mathematics

1 answer:

cluponka [151]3 years ago

7 0

Answer:

27.5 inches^2

Step-by-step explanation:

Area of a triangle =

$\frac{bh}{2}$

Plugging in the equation,

$\frac{11 \times 5}{2} = \frac{55}{2} \\ \frac{55}{2} = 27.5$

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Suppose you have a pieceof material that is 17 feet long. you only need 5/8 of the total length. how many feet do you need

Ilya [14]

(5/8) * 17 feet = 10.625 feet

5 0

3 years ago

Three friends decide to evenly split their bill at a restaurant. The total bill is $84.99 and they will have to pay an additiona

xz_007 [3.2K]

Given : The Total Bill at the Restaurant is $84.99

Given : The Additional Tax is $5.10

⇒ Total Bill Including the Tax is : (84.99 + 5.10) = $90.09

Given : Three Friends decide to evenly split their Bill

⇒ $90.09 should be Divided into 3 Equal Parts

$\mathsf{\implies The\;Amount\;each\;person\;should\;owe\;is = (\frac{90.09}{3})}$

$\mathsf{\implies The\;Amount\;each\;person\;should\;owe\;is = 30.03\;Dollars}$

His Friend Calculation is <u>not</u> Reasonable

3 0

3 years ago

A rumor spreads through a small town. Let y ( t ) be the fraction of the population that has heard the rumor at time t and assum

Ivan

Answer:

Differential equation

$\frac{dy}{dt} =ky(1-y)$

Solution

$y=\frac{1}{1+4e^{-0.327t}}$

Value of constant k=0.327 days^(-1)

The rumor reaches 80% at 8.48 days.

Step-by-step explanation:

We know

y(t): proportion of people that heard the rumor

y'(t)=ky(1-y), rate of spread of the rumor

Differential equation

$\frac{dy}{dt} =ky(1-y)$

Solving the differential equation

$\frac{dy}{y(1-y)}=k\cdot dt \\\\\int \frac{dx}{y(1-y)} =k \int dt \\\\-ln(1-\frac{1}{y} )+C_0=kt\\\\1-\frac{1}{y} =Ce^{-kt}\\\\\frac{1}{y} =1-Ce^{-kt}\\\\y=\frac{1}{1-Ce^{-kt}}$

Initial conditions:

$y(0)=0.2\\y(3)=0.4\\\\y(0)=0.2=\frac{1}{1-Ce^0}\\\\1-C=1/0.2\\\\C=1-1/0.2= -4\\\\\\y(3)=0.4=\frac{1}{1+4e^{-3k}} \\\\1+4e^{-3k}=1/0.4\\\\e^{-3k}=(2.5-1)/4=0.375\\\\k=ln(0.375)/(-3)=0.327\\\\\\y=\frac{1}{1+4e^{-0.327t}}$