Answer:
16
Step-by-step explanation:
.8 x 20 =16
Answer:
The number of robberies in 2014 is 108
Step-by-step explanation:
Here, we want to calculate the number of robberies in 2014
from the question, the robberies went down by 40%
Let the number of robberies in 2014 be x
Thus;
40/100 * 180
= 72
This means that the value it went down was by 72
Thus;
x = 180-72
x = 108
The ladder will reach 122 ft up the building.
The 120 feet of the extended ladder, since it will be leaning against the building, will be the hypotenuse of the right triangle. x will be the height from the top of the fire truck to the point where the ladder hits the building. 75° is the angle the ladder will make with the fire truck.
We have an angle, the side opposite the angle, and the hypotenuse. Opposite/hypotenuse is the ratio for sine, so we set up our equation as such:
x/120 = sin 75
Multiply both sides by 120:
120(x/120) = 120*sin 75
x = 120*sin 75
x ≈116
However, this is just from the top of the fire truck to the point where the ladder hits the building. We still add the 6 feet from the top of the truck to the ground. 116+6 = 122.
The law of detachment is a set of three sentences, such that:
- Sentence 1 is a statement of the form If p, then q
- Sentence 2 is a statement of the form p
- Sentence 3 is a conclusion of the form q
Let's see which of the options follow the pattern indicated above:
Option A: If an object is a square, it is a parallelogram. The object is a square. The object is a parallelogram. - MATCHES THE ABOVE PATTERN. Hence, is an example of the Law of Detachment.
Option B: If two angles are linear pairs, the angles are supplementary. The two angles are linear pairs. Therefore, the angles are supplementary. - DOES NOT MATCH THE ABOVE PATTERN.
Option C: If it is snowing, the play will be cancelled. If the play is cancelled, the theater will refund the cost of admission. Therefore, if it is snowing, the theater will refund the cost of admission to the play. - DOES NOT MATCH THE ABOVE PATTERN.
Option D: If it is snowing, the play will be cancelled. It is snowing. Therefore, the play is cancelled. - MATCHES THE ABOVE PATTERN. Hence, is an example of the Law of Detachment.
Hence, option A and option D are examples of the Law of Detachment.
