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Ainat [17]
3 years ago
5

* ANSWER QUICK PLEASE :)* The map shows the dimensions of five counties in a Midwestern state. Which expression gives the area o

f Adams County? <3

Mathematics
2 answers:
erica [24]3 years ago
5 0

Answer:

\frac{1}{2}\times \text{Boundary of county Harding touching Adams}\times \text{Boundary of county Lincoln touching Adams}

Step-by-step explanation:

In the figure attached, map shows the dimensions of the 5 counties in a Midwestern state.

Adams county has the triangular boundaries.

Since area of triangle is represented by the expression \frac{1}{2}(\text{Base})\times (\text{Height})

Base represents the boundary of county Harding touching Adams = 18 mi.

Height represents the boundary of county Lincoln touching Adams = 10 mi

Therefore, expression representing the area of Adams county will be

\frac{1}{2}\times \text{Boundary of county Harding touching Adams}\times \text{Boundary of county Lincoln touching Adams}

= \frac{1}{2}18\times 10

= 90 square miles.

SOVA2 [1]3 years ago
3 0

Answer:

101218141812

Step-by-step explanation:

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The perimeter of a triangle is 170 feet and the sides are in the ratio of 25:14:12. Find the area of the triangle.
Viktor [21]
Let
x,y, and z the long sides of the triangle 

we know that

x+y+z=170 ft------> equation 1
x/y=25/14----> y=14x/25------> equation 2
y/z=14/12-----> equation 3
x/z=25/12----> z=12x/25------> equation 4

substitute equation 2 and equation 4 in equation 1
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25x+14x+12x=4250
51x=4250
x=4250/51
x=250/3
y=14x/25------> y=(250/3)*(14/25)----> y=140/3
z=12y/14-----> (140/3)*12/14----> z=40

Using Heron's formula,
Area of the triangle = √s (s-a) (s-b) (s-c)
where s is the semiperimeter
s=170/2-----> s=85 ft
Area=√85*[85-250/3]*[85-140/3]*[85-40]
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the answer is
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