Answer:
A) 2C
Step-by-step explanation:
The relevant rule of logarithms is ...
log(x²) = 2·log(x)
__
We know that 64 = 8². So, ...
log(64) = log(8²) = 2·log(8)
We are given that log(8) = C, so 2·log(8) = 2C
__
Here, all logarithms are to the base 9. That does not change the relations shown.
Answer:
You will need 20 sides to complete the loop.
Step-by-step explanation:
The question isn't quite clear given how small the corner is, but I assume that we are looking to complete the circle if the pentagon and square are repeated in a loop
We can also see - assuming that those are proper equal-sided polygons, that PQ is the same length as PV
With that in mind, We can solve this by noting that the angle of a corner in a square is 90 degrees, and in a pentagon it's 108 degrees.
108 - 90 is equal to 18. This means that PQ is at eighteen degrees to YP. Also, QM, (which will be equivalent to the next VP is eighteen degrees to PQ.
This means that each polygon is rotated 18 degrees relative to it's neighbour.
With all that we can say that the total polygons we need to form a circle is 360/18 = 20, So you will need 20 polygons, or ten squares and ten pentagons to complete the loop.
The answer is D
Hope this helped
Answer:
The symbols that we will use are:
a > b (a is larger than b)
a < b (a is smaller than b)
a ≥ b (a is larger than or equal to b)
a ≤ b (a is smaller than or equal to b).
1) if x represents the inches of snow, we have:
"More than 4 inches" means that x must be strictly larger than 4 inches, this can be written as:
x > 4 inches.
2) "less than 25 inches" means that x must be strictly smaller than 25 inches, this can be written as:
x < 25 inches.
3) If T represents the temperature
"No more than 8°F" means that the temperature can be smaller than 8°F, or equal to 8°F, then we can write this situation with:
T ≤ 8°F
4) "At least 7°F" means that the temperature can be 7°F or more than that, then we can write this situation as:
T ≥ 7°F
