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3 years ago

How to solve this geometry show work pls

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

6 0

Answer:

Step-by-step explanation:

I don’t believe there is any work to show for this question

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Find the quotient of 3/4 and 5/6 in its simplest form

Yuri [45]

Answer:

= 1 R 2

= 1 2/3

Step-by-step explanation:

8 0

3 years ago

A model for the population in a small community after t years is given by P(t)=P0e^kt.

LUCKY_DIMON [66]

$\bf \textit{Amount of Population Growth}\\\\
A=Ie^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\\
r=rate\to r\%\to \frac{r}{100}\\
t=\textit{elapsed time}\\
\end{cases}$

a)

so, if the population doubled in 5 years, that means t = 5. So say, if we use an amount for "i" or P in your case, to be 1, then after 5 years it'd be 2, and thus i = 1 and A = 2, let's find "r" or "k" in your equation.

$\bf \textit{Amount of Population Growth}\\\\
A=Ie^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &2\\
I=\textit{initial amount}\to &1\\
r=rate\\
t=\textit{elapsed time}\to &5\\
\end{cases}
\\\\\\
2=1\cdot e^{5r}\implies 2=e^{5r}\implies ln(2)=ln(e^{5r})\implies ln(2)=5r
\\\\\\
\boxed{\cfrac{ln(2)}{5}=r}\qquad therefore\qquad \boxed{A=e^{\frac{ln(2)}{5}\cdot t}} \\\\\\
\textit{how long to tripling?}\quad 
\begin{cases}
A=3\\
I=1
\end{cases}\implies 3=1\cdot e^{\frac{ln(2)}{5}\cdot t}$

$\bf 3=e^{\frac{ln(2)}{5}\cdot t}\implies ln(3)=ln\left( e^{\frac{ln(2)}{5}\cdot t} \right)\implies ln(3)=\cfrac{ln(2)}{5} t
\\\\\\
\cfrac{5ln(3)}{ln(2)}=t\implies 7.9\approx t$

b)

A = 10,000, t = 3

$\bf \begin{cases}
A=10000\\
t=3
\end{cases}\implies 10000=Ie^{\frac{ln(2)}{5}\cdot 3}\implies \cfrac{10000}{e^{\frac{3ln(2)}{5}}}=I
\\\\\\
6597.53955 \approx I$

3 0

4 years ago

Jell E. Bean owns the local frozen yogurt shop. At her store, customers themselves a bowl of frozen yogurt. Jell E. Bean charges

uysha [10]

Answer:

Step-by-step explanation:

Unit rate = $32/(5 pounds) = $6.40/pound

[You can convert that to smaller units:

$6.40/pound × (1 pound)/(16 ounces) = $0.40/ounce]

:::::

Cost = (number of pounds) × $6.40/pound

:::::

12 pounds × $6.40/pound = $76.80

6 0

3 years ago

If f(x) = 3x^2 – 2 and g(x) = 2x + 4, find (f- g)(x).

Andreas93 [3]

Answer:

(f - g)(x) = 3x² - 2x - 6

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 3x² - 2

g(x) = 2x + 4

(f - g)(x) is f(x) - g(x)

Step 2: Evaluate

Substitute: (f - g)(x) = 3x² - 2 - (2x + 4)
Distribute -1: (f - g)(x) = 3x² - 2 - 2x - 4
Combine like terms: (f - g)(x) = 3x² - 2x - 6

5 0

3 years ago

1. What is the measure in radians for the central angle of a circle whose radius is 6 cm and intercept arc length is 5.4 cm?

fgiga [73]

Hello!

1.
find circumferece
c=2pir
c=2*6*pi=12pi
intercept is 5.4

2pi radians=all

part/whole=part/whole
5.4/12pi=x/2pi
times both sides by 12pi
5.4=6x
divide both sides by 6
0.9=x
answer is 0.9 radians

2.
assuming 9pi/5 radians

find circumference
c=2pir
c=2*26.9*pi
c=53.8pi

arc/circumference=(9pi/5)/2pi

x/(53.8pi)=(9pi/5)/(2pi)
x/(53.8pi)=18/5
times both sides by 53.8pi
x=608.46266 m
about x=608.46 m

Hope this Helps! Have A Wonderful Day! :)

5 0

3 years ago