Given:
Segment AC = 130 feet
Segment CD = 70 feet
I think that I'll be using the Pythagorean Theorem in finding the value of r. r will be the hypotenuse
Segment CE = (r - 70 feet)
r² = a² + b²
r² = 130² + (r-70)²
r² = 16,900 + (r-70)(r-70)
r² = 16,900 + r² - 70r - 70r + 4900
r² - r² + 140r = 16,900 + 4,900
140r = 21,800
r = 21,800/140
r = 155.71 feet
The radius of the circle is 155.71 feet.
Consider the first term on the left side.
Then the sum of the three terms on the left is
2 3/4 miles in 1 hour and 15 minutes.
To makes things simpler , the fraction for miles will be converted into an improper fraction, so it will be 11/4.
For the time, there is 60 minutes in one hour, so 60 plus the 15 minutes is 75.
Now that the numbers are simpler, we can start to create cross products.
In 11/4 miles it takes 74 minutes. How many in 60 minutes ? So to find that, take 11/4 over x equals to 75 over 60. Cross multiply:
11/4 * 69 = 165
75 * x = 75x
The equation is now 75x = 165
Divide 75 in both sides to isolate variable x.
x = 2.2
2.2 in fraction form is 2 1/5 .
So finally it takes Amman to walk 2 1/5 miles per every hour.
Answer:
volume of air = 3200 m³
Explanation:
We are given that 1 m³ of hot air can lift a mass of about 0.25 kg.
To find the volume of hot air required to lift a mass of 800 kg, we will simply use cross multiplication as follows:
1 m³ ..................> 0.25 kg
?? .....................? 800 kg
volume of hot air required = (800*1) / (0.25)
volume of hot air required = 3200 m³
Hope this helps :)
