9514 1404 393
Answer:
9/10
Step-by-step explanation:
(1 1/10) - 1/5 = (1 1/10) -2/10 = 1 + (1/10 -2/10) = 1 -1/10 = 9/10
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1.1 -0.2 = 0.9 = 9/10
Answer:
Step-by-step explanation:
Given
Required
Use the expression to prove a trigonometry identity
The given expression is not complete until it is written as:
Going by the Pythagoras theorem, we can assume the following.
- a = Opposite
- b = Adjacent
- r = Hypothenuse
So, we have:
Having said that:
The expression can be further simplified as:
Substitute values for sin and cos
becomes
Answer: B (-2)
Step-by-step explanation:
[log base b of a = c] turns into [b^c = a]
You have log base 5 of 1/25 = ?, so it turns into 5^? = 1/25
This part is sort of guess and check, but we can look at it to find the answer pretty easily. First, it's 1/n, so we should use a negative power: 5^-1 = 1/5
In addition to being in the denominator, it's 25, which is 5^2.
So, if we want to put it in a reciprocal as well as square it, we can use -2:
5^(-2) = 1/(5^2) = 1/25
Since -2 (B) is the exponent we place on 5 to get 1/25, it is also the answer to log base 5 of 1/25.
Answer:
58 and 42.
Step-by-step explanation:
Let the 2 numbers be x and 100-x.
Also let x be the largest number, so
x ≥ 100 - x + 16 ( 'At least 16' means equal to 16 or greater than 16).
Add in x to both sides:
x + x ≥ 100 + 16
2x ≥ 116
x ≥ 58.
But since the sum of the 2 numbers is 100, x must be 58 and the other number is 42.
Answer:10 to the power of 8
Step-by-step explanation:since 10 is used as a factor 8 times, the exponent is 10 to the power of 8.
