<h2>
Answer:</h2>
1/2
<h2>
Step-by-step explanation:</h2><h3>Known :</h3>
- The school football team has a match tomorrow
- The probability of the team winning is 1/6
- The probability of the team drawing is 2/6
<h3>
Asked :</h3>
- The probability of the team losing
<h3>Solution :</h3>
Probability of the team losing the match = 1 - 1/6 - 2/6
Probability of the team losing the match = 6/6 - 1/6 - 2/6
Probability of the team losing the match = 3/6
Probability of the team losing the match = 1/2
<h3>Conclusion :</h3>
The probability of the team losing the match is 1/2
Answer:
No, the area of the dilated triangle will increase by a factor of 9
Step-by-step explanation:
When the scale factor by which the dimensions is dilated = 3, we have;
The original length of base = b
The base length of the dilated triangle = 3×b
The original height of the the triangle = h
The height of the dilated triangle = 3×h
The original area of the triangle = 1/2 × base × height = 1/2×b×h
The area of the dilated triangle = 1/2 × base of dilated triangle × height of dilated triangle
∴ The area of the dilated triangle = 1/2× 3 × b × 3× h = 9×1/2× b×h
Which gives;
The area of the dilated triangle = 3²×1/2× b×h= (Scale factor)²× The original area of the triangle.
From 3² = 9, we have;
The area of the dilated triangle = 9 × The original area of the triangle.
Therefore;
The area of the dilated triangle will increase by a factor of 9.
Answer:
2/3
Step-by-step explanation:
18/27 simplified is 2/3
Answer:
81 km
Step-by-step explanation:
Speed = distance / time
speed and time are measured in different units, thus, time has to be converted to seconds
60 second = 1 minute
90 x 60 = 5400 seconds
15 m /s = distance / 5400 seconds
distance = 81,000 metre
1000m = 1 km
81000 / 1000 = 81km
