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Murrr4er [49]
3 years ago
11

How do you work this out?

Mathematics
1 answer:
Katarina [22]3 years ago
5 0
Because ABCD is a rectangle, the length of CD is 12 cm.

We need to determine the length of DE.  If we can do that, then the sum of the lengths of CD and DE represents the unknown:  the length of CE.

To find the length of CE, we have to "solve" the upper triangle.

Here's an outline of what to do:

1.  Show that BC=AD and find the length.
2.  Note that angle CAD is 60 degrees.  Why?
3.  Note that angle EAD is 30 degrees.  Why?
4.  Find the length of ED
5.  Add ED and DC, that is, ED + 12 cm.  This is your answer.

Please ask questions if need be.
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evablogger [386]

Answer:

It's D (a = 20 because the rate of change is –3.)

Step-by-step explanation:

I did the test and that was the correct answer

3 0
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the perimeter of the rectangle below is 98 units. Find the length of CD. Write your answer without variables. cd=4x+3 cb=5x+1
zimovet [89]

2(4x + 3) + 2(5x + 1) = 98 \\ 8x + 6 + 10x + 2 = 98 \\ 18x + 8 = 98 \\ 18x = 90 \\  x = 5
Substitute x with 5,

CD =
4x + 3 \\  = 4(5) + 3 \\  = 20 + 3 \\  = 23
CD = 23 units

Hope this helps.
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3 years ago
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What is the probability of a blue jay being the next bird papa sees?
Elodia [21]

Answer:

Your question isn't clear

Step-by-step explanation:

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3(x - 4)(2x - 3) = 0?
Studentka2010 [4]

Answer:

x = 4   or  x = 3/2

Step-by-step explanation:

You want the solution to the equation 3(x - 4)(2x - 3) = 0  ?

ok then.

it looks like  either   x - 4 = 0

or  2x - 3 = 0

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8 0
3 years ago
An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e0
nikitadnepr [17]

Answer:

8\ years  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=?\ years\\ P=\$100\\A=\$150\\ r=0.05  

substitute in the formula above  

150=100(e)^{0.05*t}  

1.5=(e)^{0.05*t}  

Applying ln both sides

ln(1.5)=(0.05t)ln(e)  

ln(1.5)=(0.05t)  

t=ln(1.5)/(0.05)  

t=8\ years  

8 0
3 years ago
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