Answer the answer would be 6
Step-by-step explanation:
Answer:
x + 3 + 45° = 180°. isosceles triangle
x = 180° - 45°-3°
x = 132°
90° + x = 180°
x =180° - 90°
x = 90°
Answer: the two trains will meet in 2.8 hours
Step-by-step explanation:
Step 1
Speed of train A = 90mph
Speed of train B = 110 mph
Since both trains are travelling towards each other
, their effective speed will be= 90 mph + 110mph= 200mph
Step 2
we know that Speed = distance / time
therefore Time = Distance / speed
Distance = 560 miles
Speed = 200 mph
Time = 560miles / 200mph
2.8 hours
Answer:
The required drawing showing the cliff, river, and tower as well as the details in the question is attached, please find alongside the answer
The width of the river is approximately 51.55 meters
Step-by-step explanation:
The height of the observation tower = 11 meters
The angle of elevation of the cliff top and the opposite side of the river = 20°
The angle of elevation of the tower top and the opposite side of the river = 30°
Therefore, by sine rule, we have;
h/sin(20) = w/sin(60)
11/sin(10) = length, l/sin(60)
l = sin(60) ×11/sin(10) ≈ 54.86 meters
w = l × cos (20) = 54.86 meters × cos (20) ≈ 51.55 meters
The width, w, of the river is approximately 51.55 meters.
The equation is:
3 x = 15,000 where x is the number of yesterday’s attendance
Step-by-step explanation:
There are three times as many people at the baseball park today than
there were yesterday
Assume that the number of the people at the baseball park
yesterday is x
∵ The number of the people at the baseball park yesterday = x
∵ The number of people at the baseball park today is three times
as many as the number of the people yesterday
∴ The number of people at the baseball park today = 3 x ⇒ (1)
∵ Today’s attendance is 15,000
∴ The number of people at the baseball park today = 15,000 ⇒ (2)
- Equate (1) and (2)
∴ 3 x = 15,000
- To find the value of x solve the equation:
3 x = 15,000
The equation is:
3 x = 15,000 where x is the number of yesterday’s attendance
Learn more:
You can learn more about equations in brainly.com/question/11229113
#LearnwithBrainly
