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ololo11 [35]
3 years ago
7

Solve the special right triangle to find the missing sides. Leave your answer as a simplified radical

Mathematics
1 answer:
GarryVolchara [31]3 years ago
3 0

Answer:

\tan(30°)  =  \frac{12}{r}  \\  \frac{1}{ \sqrt{3} }  =  \frac{12}{r}  \\  \boxed{r = 12 \sqrt{3} }

and,

\sin(30°)  =  \frac{12}{t}  \\  \frac{1}{2}  =  \frac{12}{t} \\  \boxed{t = 24}

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If 1/a + 1/b =1/c and ab=c,what is the average of a and b?
goblinko [34]
If we solve the left side of the given equation,
                                  1/a + 1/b = 1/c
 we get an answer of,
                                    b+a / ab = 1/c
Since ab = c, we can conclude that b + a is 1. The average of these two numbers is equal to there sum divided by 2. The answer is therefore equal to 0.5. 
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3 years ago
A baby can crawl ¾ foot in ¼ minute. How far does the baby get per minute?
Licemer1 [7]

Answer:

3 ft per minute

Step-by-step explanation:

Take the distance and divide by the time

3/4 ft ÷ 1/4 minute

Copy dot flip

3/4 * 4/1

Rewriting

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3 ft per minute

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3 years ago
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Jobisdone [24]

Answer:

While slavery was the major issue separating the North and South, it was not slavery itself that sparked the conflict. The South wanted to secede from the Union, and the North refused. While President Abraham Lincoln personally opposed slavery, he recognized that it was legal under the U.S. Constitution at the time. He also recognized that few in the North were ready to go to war to free the slaves. For Lincoln and the northern majority, preservation of the Union was the foremost goal.

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3 years ago
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harkovskaia [24]

Answer:

$638.25

Step-by-step explanation:

The interest is 5.5% yearly and it is simple interest.

Now, if we consider a deposit of $575 into the bank account that earned 5.5% simple interest each year, then after 2 and half years James will get interest only for 2 years as the 3rd year's interest will be added after the 3rd year.

Therefore, if no money was deposited into or withdrawn from the account, then after 2.5 years the sum will be  

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dexar [7]
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