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Thepotemich [5.8K]
4 years ago
10

If the area of the rectangle ABDE is 16 square inches and C is the midpoint of BD what is the area in square inches , of ACE

Mathematics
1 answer:
puteri [66]4 years ago
6 0
Look at the picture.


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What is equivalent to <br> (3x+1)(4x-1)
valentinak56 [21]
(3x+1)(4x-1)

3x+4x=7x
1-1=0

So

(3x+1)(4x-1) = 7x

I hope this helped and was right, have a nice day
4 0
3 years ago
How to solve logarithmic equations as such
Serga [27]

\bf \textit{exponential form of a logarithm} \\\\ \log_a b=y \implies a^y= b\qquad\qquad a^y= b\implies \log_a b=y \\\\\\ \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} ~\hspace{7em} \begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{\textit{we'll use this one}}{a^{log_a x}=x} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf \log_2(x-1)=\log_8(x^3-2x^2-2x+5) \\\\\\ \log_2(x-1)=\log_{2^3}(x^3-2x^2-2x+5) \\\\\\ \log_{2^3}(x^3-2x^2-2x+5)=\log_2(x-1) \\\\\\ \stackrel{\textit{writing this in exponential notation}}{(2^3)^{\log_2(x-1)}=x^3-2x^2-2x+5}\implies (2)^{3\log_2(x-1)}=x^3-2x^2-2x+5

\bf (2)^{\log_2[(x-1)^3]}=x^3-2x^2-2x+5\implies \stackrel{\textit{using the cancellation rule}}{(x-1)^3=x^3-2x^2-2x+5} \\\\\\ \stackrel{\textit{expanding the left-side}}{x^3-3x^2+3x-1}=x^3-2x^2-2x+5\implies 0=x^2-5x+6 \\\\\\ 0=(x-3)(x-2)\implies x= \begin{cases} 3\\ 2 \end{cases}

5 0
3 years ago
An account earns simple interest.<br><br> $1800 at 6.5% for 30 months
Vikentia [17]

A = P(1 + rt)

Where:

<span>A = Total Accrued Amount (principal + interest)
P = Principal AmountI = Interest Amount
r = Rate of Interest per year in decimal;
r = R/100
R = Rate of Interest per year as a percent;
 R = r * 100
<span>t = Time Period involved in months or years

</span></span>Calculation:

First, converting R percent to r a decimal
r = R/100 = 6.5%/100 = 0.065 per year,
putting time into years for simplicity,
30 months ÷ 12 months/year = 2.5 years,
then, solving our equation

<span>A = 1800(1 + (0.065 × 2.5)) = 2092.5 </span>
A = $ 2,092.50

The total amount accrued, principal plus interest,
from simple interest on a principal of $ 1,800.00
at a rate of 6.5% per year
<span>for 2.5 years (30 months) is $ 2,092.50.</span>
5 0
4 years ago
A cylindrical container of disinfectant wipes with a radius of 1 inch and a height of 10 inches is sold
Margaret [11]

Answer:

0.02

Step-by-step explanation:

5/69.12=0.0723

3/69.12=0.0434

0.0723-0.0434=0.0289

=0.02

5 0
3 years ago
Two fair six-sided dice are rolled. What is the probability that the sum of the numbers rolled is either 7 or 11?
Llana [10]
There is 36 ways the dice come up, 6 for each dice. thats 8/36 or 2/9. :)

8 0
4 years ago
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