Answer:
the corner is not 90 degrees
Step-by-step explanation:
To confirm if the corner is 90 degrees, we would use Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
16² + 20² =
256 + 400 =656
find the square root of 656
= 25.6 feet
If the corner was 90 degrees the diagonal should be 25.6 feet and not 29 feet
Answer:
Step-by-step explanation:
Substitute x = 2 and y = -4 into
2⁻² = 
2⁻³ = 
-4⁵ = -1024
× × -1024 = -32
Answer: 1,953,125
This is one single value and it is just a bit under 2 million.
Or more accurately, it's a bit over 1.9 million.
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Explanation:
- a = 5 = first term
- r = -5 = common ratio
Note that dividing any term by its previous term gets us the common ratio
- r = term2/term1 = -25/5 = -5
- r = term3/term2 = 125/(-5) = -5
The r value must stay the same the entire time, or else the sequence isn't geometric.
The nth term of any geometric sequence is a*(r)^(n-1). With the 'a' and 'r' values we found, we update that to 5(-5)^(n-1)
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To verify that is the correct nth term expression, plug in various values of n to compare it with the given sequence.
If we tried n = 2 for instance, then we find the 2nd term is
5(-5)^(n-1) = 5(-5)^(2-1) = -25
which matches what your teacher gave you. I'll let you verify the other terms.
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The last thing we need to do is plug in n = 9 and simplify
5(-5)^(n-1)
5(-5)^(9-1)
5(-5)^8
5(390625)
1,953,125 this is one single value (rather than 3 separate values)
-36p+23q-10r hope this helps
If you multiply 15 and 30 you would get 450, which is the total square footage.
then divide that by the total time, 4 hours, and you get 112.5 ft.
