<h3>
Answer: TV = 10</h3>
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Explanation
Let x be some positive real number such that
leading to the ratio
ST:TU:UV = 6x:2x:3x = 6:2:3
Note how I effectively started with 6:2:3 and multiplied all parts of the ratio by x to get 6x:2x:3x
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The parts of the ratio add up to the longest segment SV
ST+TU+UV = SV
6x+2x+3x = 22
11x = 22
x = 22/11
x = 2
Therefore,
- ST = 6x = 6*2 = 12
- TU = 2x = 2*2 = 4
- UV = 3x = 3*2 = 6
Note how ST+TU+UV = 12+4+6 = 22, which is the length of SV. This helps confirm we have the correct x value.
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The last step is to find the length of TV
TV = TU+UV
TV = 4+6
TV = 10
Or you could do
ST + TV = SV
12+TV = 22
TV = 22-12
TV = 10
I think the answer is 2. Look at the photos to make sure I put the numbers in right :)
Answer:
V = 27π or approx 85 cubic inches
Step-by-step explanation:
V(cyl) = πr²h
V = π·3²·3
V = 27π
You replace x with (a+1)
Then f(a+1) = (a+1)^2+1
= a^2+2a+1+1
= a^2+2a+2
Answer:
AB ≈ 6.71
Step-by-step explanation:
Calculate the length using the distance formula
d = 
with (x₁, y₁ ) = A (- 1, 6) and (x₂, y₂ ) = B (5, 3)
AB = 
= 
= 
= 
= 
≈ 6.71 ( to 3 significant figures )
