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.
Answer:
The height of the flagpole is 46 feet
Step-by-step explanation:
First we find the ratio to connect the variables
Tan(∅) = opposite/adjacent
Plug in the Variables
Tan(39) = x/50
Solve for x
50*tan(39) = x
x = 40.48
Don't forget to include the man's height
40.48 + 6 = 46.48
Answer:
x=5
y=4
Step-by-step explanation:
Step 1:
Let us solve for <em>x</em> using the
equation by <u>isolating terms containing the variable</u>:

Great! <em>x</em> is 5... let's find <em>y</em>.
Step 2:
Since we know the value of <em>x</em>, we can use what we know to find <em>y</em> using the <u>other equation</u>:

<em>Given that x=5, we can </em><u><em>replace</em></u><em> x with 5</em>.

<em>I hope this helps! Let me know if you have any questions :)</em>
Answer:
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
P represents the principal or initial amount invested.
R represents the interest rate.
T represents duration of the investment in years
From the information given,
P = $750
R = 5%
T = y years
I = the total return of Bond 1 - principal
I = 1000 - 750 = $250
Therefore,
250 = (750 × 5 × y)/100
250 = 37.5y
y = 250/37.5
y = 6.7 years
<h3>
Answer: 4</h3>
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Work Shown:

Note in step 2, I factored each number in the square root to pull out the largest perfect square factor. From there, I used the rule that
to break up the roots.