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Nesterboy [21]
3 years ago
8

Find the missing measurement

Mathematics
1 answer:
Kipish [7]3 years ago
8 0

9514 1404 393

Answer:

  4.2 km

Step-by-step explanation:

The altitude of the triangle can be found using the triangle area formula:

  A = 1/2bh

  22.7 km² = 1/2(10.8 km)h

  h = (22.7 km²)/(5.4 km) ≈ 4.2037... km

The missing measurement is about 4.2 km.

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Answer:

<h2>The time needed is 10 months.</h2>

Step-by-step explanation:

The given points are (0, 3500) and (5, 1750).

First, we use the formula below to find the slope of the line

m=\frac{y_{2}-y_{1}  }{x_{2} -x_{1} }=\frac{1750-3500}{5-0}=\frac{-1750}{5}=-350

Which means the function is deacrasing with a ratio of 350 feet per month.

Now, we use the slope and one point to find the equation

y-y_{1} =m(x-x_{1} )\\y-1750=-350(x-5)\\y=-350x+1750+1750\\y=-350x+3500

This linear function shows that the situation started at the y-intecept (0, 3500), which means the month 0 had already 3500 feet. In other words, the total distance is 3500 feet. Now, the x-intercept will tell us the time needed to travel that distance.

0=-350x+3500\\-3500=-350x\\x=\frac{-3500}{-350}\\ x=10

Therefore, the time needed is 10 months.

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