Jen and Holly are on the Athletic council and want to put a blow up version on the school mascot in the parking lot. They need to tie it down.
Jen’s rope is 7.8 m long and makes an angle of 360 with the ground. Holly’s rope is 5.9 m long. The wind is really strong so they will secure both ropes to the left of the mascot. How far to the nearest tenth of a metre, is Jen from Holly?

2.6 m

Step-by-step explanation:

In the attached diagram

Consider Triangle ABC

Our goal is to determine the distance of Jen (at point A) to Holly (at Point D).

In Triangle ABC

In Triangle BDC

Applying Pythagoras Theorem

Now, |AC|=|AD|+|DC|

6.3103=|AD|+3.7136

|AD|=6.3103-3.7136

|AD|=2.5967

|AD|=2.6m (correct to the nearest tenth of a metre)

The distance of Jen from Holly is 2.6m.

8

step-by-step explanation:

this is a subtraction problem.

10 - 2 = 8

"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: