Mathematics, 12.07.2019 17:30 machopr

Use a geometric formula to solve the problem. a triangle has a height of 8 feet and an area of 48 square feet. find the base.

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Answer from: gracie0818

The formula for finding area of a triangle is:

$\frac{1}{2}bh$

The base is 8 feet. The area is 48 ft². Put that into the formula:

$\frac{1}{2} b8 = 48$

Remember that you have to multiply the base × height by $\frac{1}{2}$ , which is the same as dividing by 2. To find the height, you need to multiply the area by 2, instead of dividing.

$Area = 48 sq\ ft^{2} \\ 48 \times 2 = 96$

That means the base × height is equal to 96. You already know the height. To find the base, divide the (base × height) by the height. The height is 8.

$96 \div 8 = 12$

That means the base of the triangle is 12 ft

CHECK

$\frac{1}{2}bh$

Base = 12

Height = 8

Put that into the formula:

$12 \cdot 8 \cdot \frac{1}{2} = 96 \cdot \frac{1}{2} = 96 \div 2 = 48$ ✔

BASE = 12 ft

Answer from: Quest

Geometric pattern of 2 i’m guessing. not really sure about what you’re asking but i hope this !

Answer from: Quest

"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:

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