Answer:
2,789ft
Step-by-step explanation:
The set up will give a right angled triangle.
The altitude will be the opposite side = 1600 ft
The angle of depression = 35°
approximate direct distance to the stadium is the hypotenuse of the trisngle= x
Using the SOH trig identity to get the distance
sin 35 = opp/hyp
sin 35 = 1600/x
x = 1600/sin35
x = 1600/0.5736
x = 2,789.4ft
Hence mai’s approximate direct distance to the stadium is 2,789ft
B: 78.50
If you plug in 5 for r, then you get 3.14 * 25, which is equal to 78.5
Hope this helps!
Answer:
See Below
Step-by-step explanation:
1) 180 ft / 6 sec
To find a unit rate, you need to have a denominator of 1 and to to do that, you can divide the numerator and denominator by the same number, in this case: 6.
30 ft / 1 sec
2) 86 mi / 5 hr
Same as above^(except dividing by 5)
17.2 mi / 1 hr
3) 83 mi / 5 hr
Same as above^^
16.6 mi / 1 hr
We can rewrite this as: 16.6 mph
4) 93 mi / 5 hr
Same as above^^^
18.6 mi / 1 hr
5) 150 mi / 4 hr
Same as above^^^^
37.5 mi / 1 hr
We can rewrite this as: 37.5 mph
Answer:
243,000 people
Step-by-step explanation:
First, what we need to do is to calculate the area of the region using the 5-mile radius
Mathematically, we can calculate this as the area of a circle
Area = pi * r^2
Our r here is 5 miles
Area = pi * 5^2 = pi * 25 = 78.54 square miles
Now to get the population, we know that per square mile we have 3,100.
Hence per 78.54 square mile, we have 78.54 * 3100 = 243,273 people
To the nearest thousand, 243,000
