Answer:
-2/3
Step-by-step explanation:
Log125(1/25)=x
Raise each side to the base of 125
125^Log125(1/25)=125^x
1/25 = 125^x
Rewrite 25 as a power of 5 and 125 as a power of 5
1 / 5^2 = 5^3^x
The if power is in the denominator, we can bring it to the numerator by making it negative
5^-2 = 5^3^x
We know that a^b^c = a^(b*c)
5^-2 = 5^(3*x)
Since the bases are the same, the exponents are the same
-2 = 3x
Divide by 3
-2/3 = 3x/3
-2/3 =x
Answer:
Both proportions are equivalent.
Step-by-step explanation:
We have been given two proportions and . We are asked to find why the solutions to our given proportions are equal.
We can solve proportions by cross multiplying them.
After cross multiplying our both proportions we will get same equation that is:
Since we get same equation after cross multiplying both proportions, therefore, the solutions to the given proportions would be same.
Answer:
B
Step-by-step explanation:
The SA of a cone is A=pi*r^2+pi*r*s
So instead of pi*5^2, it should be pi*3*5 (5 is the length of the slant).
Answer:
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Answer:
∠ B = 85°
Step-by-step explanation:
Complementary angles sum to 90° , then
x - 23 + 2x + 29 = 90 , that is
3x + 6 = 90 ( subtract 6 from both sides )
3x = 84 ( divide both sides by 3 )
x = 28
Then
∠ B = 2x + 29 = 2(28) + 29 = 56 + 29 = 85°