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.
Step 1: simplify both sides of the equation.
Step 2: Flip the equation.
Step 3: Subtract 8 from both sides.
Step 4: Multiply both sides by5.
Answer: Y= 35
Answer: 90
Step-by-step explanation:
Given : The number of fertilizer types = 6
The number of temperature zones =5
The number of water treatments=3
The number of different lawn plots =
Hence, the number of different lawn plots she needs in order to test each fertilizer type, temperature range, and water treatment configuration =90
Answer:
27.5 mm
Step-by-step explanation:
Let the side length of each of the side of the base of the pyramid be a, hence:
perimeter of square = 4a
80 = 4a
a = 20 mm.
The distance from the middle of the square pyramid to the side = r = half of the side length = a/2 = 20 / 2 = 10 mm.
r = 10 mm
The slant height (s) = 17 mm, Let h be the height of each of the pyramid. Using Pythagoras theorem:
r² + h² = s²
17² = 10² + h²
h² = 17² - 10² = 189
h = √189
h = 13.748 mm
The length of the game piece = 2 * h = 2 * 13.748 = 27.5 mm to nearest tenth of a mm.
Answer:
Step-by-step explanation:
it will still be the same so the triangle is the same nothing changed
