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Aliun [14]
3 years ago
9

Someone please help me with number 16

Mathematics
1 answer:
Zinaida [17]3 years ago
3 0
This is a 45-90-45 triangle so in order to find the answer we have to multiply the hypotenuse, 6, by the square root of 2 or radical 2. Then multiply top and bottom by radical 2. Then simplify.
\frac{6}{ \sqrt{2} }  \times  \frac{ \sqrt{2} }{ \sqrt{2} }  =  \frac{6 \sqrt{2} }{2}  = 3 \sqrt{2}
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The first term in a geometric series is 64 and the common ratio is 0.75. Find the sum of the first 4 terms in the series.
maks197457 [2]

Answer:

195.25

Step-by-step explanation:

Consider geometric series  S(n) where initial term is a

So S(n)=a+ar^1+...ar^n

Factor out a

S(n)=a(1+r+r^2...+r^n)

Multiply by r

S(n)r=a(r+r^2+r^3...+r^n+r^n+1)

Subtract S(n) from S(n)r

Note that only 1 and rn^1 remain.

S(n)r-S(n)=a(r^n+1  -1)

Factor out S(n)

S(n)(r-1)=a(r^n+1  -1)

The formula now shows S(n)=a(r^n+1  -1)/(r-1)

Now use the formula for the problem

4 0
3 years ago
Can somebody explain how to do this quickly. Already know how to solve it but it takes me a long time :(
lorasvet [3.4K]

Answer:

picture is too small .i am not able to see

4 0
3 years ago
A girl is 18 years old and her brother is a third of her age. When the girl is 36 what would be the age of the brother?
ale4655 [162]
First we need to calculate how many years her brother has when she is 18. As text says he is:
18/3 = 6 years old

Now when she gains another 18 years (36-18=18) he will also gain those 18 years

When she is 36 he will have 6+18=24 years old

Answer is 24.
8 0
3 years ago
Read 2 more answers
What is the solution to = n/4 -12.4?
aleksandr82 [10.1K]

Answer:

I need the rest of the question

Step-by-step explanation:

Sorry I want to help you but I cant unless there is a (example): 12+-3= n/4 -12.4

or a list of options to choose from like what will equal 6? A.2 B.3 C.100 D.9

if you give me the rest I can solve, thanks :)

7 0
3 years ago
Could somebody help me on the 2 question please
ozzi
-20 because after the the thermometer hits zero the more negative the temperature gets the colder it is
8 0
3 years ago
Read 2 more answers
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