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KengaRu [80]
3 years ago
9

What is the height of an equilateral triangle with all sides equal to 8

Mathematics
2 answers:
zysi [14]3 years ago
7 0

Drop a perpendicular line from a vertex to opposite side

This forms 2 triangles whose side are in the ratio 2:1:sqrt3

The 2 is equivalent to 8 so the height is sqrt3/2 * 8 = 4 sqrt3 units (answer)

( or 6.93 units to nearest hundredth.)

vitfil [10]3 years ago
3 0

an equilateral triangle has a square root height if 3 so I'm guessing if you multiply square root of 3 times 8

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a six sided die is rolled 4 times in a row. What is the probability of getting 4 only on the last trial of this experiment?
hoa [83]
First, start of by saying what the probability of getting a 4 is, which is 1/6.
Now, this means the probability of not getting a 4 is 1-(1/6)=(5/6), since the total probability is 1.

After doing this, you should think about what it means to only get 4 on the last trial, the 4th trial.  It means that the probabilities of the 1st, 2nd, and 3rd trial were (5/6) each.  The 4th trial had a probability of (1/6).  So the probability would be calculated as following: ((5/6)^3*(1/6)=5^3/6^4.  You can use a calculator or your computer to find out that the probability is 125/1296.  

I hope this was helpful!
5 0
2 years ago
Approximately how many gallons are in
Nataliya [291]

Answer:

1.8

Step-by-step explanation:

cuz

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8 0
2 years ago
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I need to factor ab-2b+ac-2c
xeze [42]
The answer is (a-2)(b+c)


8 0
3 years ago
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good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Sphinxa [80]

Answer:

<h3><u>Part (a)</u></h3>

From inspection of the diagram, the pattern is:

Step 1:      1² + 1

Step 2:    2² + 2

Step 3:    3² + 3

Let x = step number

Let y = total number of squares

Therefore, the equation that represents the relationship is:  

y = x² + x

<h3><u>Part (b)</u></h3>

<u />

x² relates to the large square made up of small squares (top part of the image of each step)

x relates to the rectangle of small squares (bottom part of the image of each step)

y is the total number of small squares in the image of each step.

4 0
1 year ago
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