Answer:
The first transformation was a rotation rotation about point A
The second transformation was a reflection across line M
Answer:
The weight of Paula's dog is 36 pounds.
Step-by-step explanation:
SO we would draw one box for the weight of Carla's dog. Then we would draw 3 boxes for the weight of Paula's dog.
To find how much does Paula's dog weigh we divide the total weight of the dogs by the total number of boxes.
So then you would calculate 48 divided by 4.
The weight of Carla's dog is 12 pounds.
Therefore the weight of Paula's dog is 3x12=3x10+3x2=30+6=36 pounds.
(a) The probability that there is no open route from A to B is (0.2)^3 = 0.008.
Therefore the probability that at least one route is open from A to B is given by: 1 - 0.008 = 0.992.
The probability that there is no open route from B to C is (0.2)^2 = 0.04.
Therefore the probability that at least one route is open from B to C is given by:
1 - 0.04 = 0.96.
The probability that at least one route is open from A to C is:

(b)
α The probability that at least one route is open from A to B would become 0.9984. The probability in (a) will become:

β The probability that at least one route is open from B to C would become 0.992. The probability in (a) will become:

Gamma: The probability that a highway between A and C will not be blocked in rush hour is 0.8. We need to find the probability that there is at least one route open from A to C using either a route A to B to C, or the route A to C direct. This is found by using the formula:


Therefore building a highway direct from A to C gives the highest probability that there is at least one route open from A to C.
Answer:

Step-by-step explanation:
Given that:
Little Gull Island Lighthouse shines a light from a height of 91 feet above the sea level.
The angle of depression is unknown.
Distance of the point at sea surface from the base of lighthouse is 865 ft.
This situation can be modeled or can be represented as the figure attached in the answer area.
The situation can be represented by a right angled
in which we are given the base and the height of the triangle.
And we have to find the value of
(Because they are the internal vertically opposite angles).
Using tangent ratio:


Therefore, the angle of depression is: 
Answer:
Option B is the answer.
Step-by-step explanation:
Which of the following best describes the memorization technique known as mnemonics?
B. linking information, such as a new vocabulary word, to a mental image that illustrates it in some fashion.
Memorization of the name allows for memorization of the associated idea. Like to remember rainbow colors, you can memorize Roy G. Biv to remember the colors of the rainbow.