The 4 cities(A, B,C&D) are to be connected by roads. The budget allows 22 km of road to be build. How can it be done? In the given figure ABCD is a square with each side 8km.

The roads are 4 km , 4 km, 4 km , 4 km and 6 km.

Step-by-step explanation:

From the first diagram below, for the 4 cities to be connected all the roads will be 32 km but the budget only allows for 22 km roads.  The second diagram demonstrate how you could build a 22 km road that connects the 4 cities.

The square ABCD all the sides are equal. Base on the diagram 2 triangles are formed.

The length of the hypotenuse can be found using Pythagoras formula.

c² = a² + 4²

c² = 16a²

square both sides

c = √16a²

c = 4a

The hypotenuse of the right angle triangles formed are 4a.

The length of the line joining the 2 triangles  can be solved as 8 - a - a = 8 - 2a.

Now recall the roads all together is 22 km.

Therefore,

add the hypotenuse of the 4 right angle triangle and  8 - 2a to connect the 4 cities.

4a + 4a + 4a + 4a + 8 -2a = 22

16a -2a + 8 = 22

14a + 8 = 22

14a = 22 - 8

14a = 14

a =14/14

a = 1

replace the value of a in all the sides

the road will be

4(1) + 4(1) + 4(1) + 4(1) + 8 - 2(1) = 22 km

The roads are 4 km , 4 km, 4 km , 4 km and 6 km.

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

step-by-step explanation:

there are 36 inches in a yard

25 : 36 = 0.69 yards (you can round to 0.70)