Answer:
It honestly does not matter, but I'd choose the ring because I feel like it is more pleasant to look at.
Step-by-step explanation:
We need to find the area of both shapes to compare:
3/4 of a circle:
A = 6^2pi
= 36pi
36pi(0.75) = 27pi
Ring:
A = 36pi
A2 = 3^2pi = 9pi
36pi-9pi = 27pi
As you can see, the two areas are the same.
Hope this helped! :)
9514 1404 393
Answer:
log(128) = t·log(2)
Step-by-step explanation:
You can take logarithms the way the formula is, or you can simplify it first.
<u>As is</u>
log(10000) = log(625) -log(8) +t·log(2)
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<u>Simplified</u>
8·10000/625 = 2^t . . . . . multiply by 8/625
128 = 2^t
log(128) = t·log(2)
_____
Solution:
t = log(128)/log(2) = 7
Answer:
x = 3, x = 4
Step-by-step explanation:
Given
= 14 - 2x ( multiply through by x , x ≠ 0 )
24 = 14x - 2x² ( subtract 14x - 2x² from both sides )
2x² - 14x + 24 = 0 ( divide through by 2 )
x² - 7x + 12 = 0 ← in standard form
(x - 3)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 4 = 0 ⇒ x = 4
Written as a unit rate would be 5 dollars for each pounds.
I hope this helps!
