Answer:
The distance of the playground is 540m
Step-by-step explanation:
Here, we are interested in calculating the length of the playground given the information in the question.
Where to attack the question from is the segment that states that he took a break after 480m and also had 2 breaks. Thus, the distance traveled would be 480 * 2 = 960 m
Now, to find the length of the track, we add the distance covered plus the distance uncovered. Mathematically that would be 960m + 120m = 1,080m
In the last part of the question, we are told that the track is twice as long as the playground. This means that the length of the playground or the distance of the playground is 1080/2 = 540 m
ANSWER






EXPLANATION
From the Pythagoras Theorem, the hypotenuse can be found.




The sine ratio is negative in the fourth quadrant.


The cosecant ratio is the reciprocal of the sine ratio.

The cosine ratio is positive in the fourth quadrant.


The secant ratio is the reciprocal of the cosine ratio.

The tangent ratio is negative in the fourth quadrant.


The reciprocal of the tangent ratio is the cotangent ratio

1. 0.25x + 15 = 0.05x + 20
0.20x = 5
x = 25
2. 1/3x = x-22
-2/3x = -22
x = 33
Answer:
3/4
Step-by-step explanation:
We want to find the probability that a student has a dog given that they have a cat, this means that the information given from the side that says " does not have a cat " is irrelevant and we only look at the information from the side that says " has a cat "
Probability = favorable outcomes / total # of outcomes
Favorable outcomes = Having a cat and dog , 6 students have both a cat and dog so favorable outcomes = 6
Total # of outcomes = total # of students that have a cat whether they have a dog or not. Total # of tudents that have a cat = 6 + 2 = 8
So probability of having a dog given that they have a cat = 6/8 or 3/4
Answer:
To add or subtract functions, just add or subtract the values at each point where it makes sense. If the functions are given by formulas, you can just add or subtract the formulas (it doesn't matter whether you plug in values before or after).
Step-by-step explanation: