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icang [17]
2 years ago
10

A park in a subdivision has a triangular shape. Two adjacent sides of the park are 533 feet and 525 feet. The angle between the

sides is 53°. Find the area of the park to the nearest square foot.
Mathematics
1 answer:
saveliy_v [14]2 years ago
6 0

Answer:

111,739 square feet

Step-by-step explanation:

Two adjacent sides of the park say x and y are,

x=533feet

y=525feet

A=53º

area=1/2*b*c*sin(A)

111739 feet^2

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horrorfan [7]

I think the correct answer is D

5 0
2 years ago
Consider functions f and g.1 + 12f(1) = 12 + 4. – 12for * # 2 and 7 -64.2 – 16. + 1641 +48for a # -12 Which expression is equal
lisabon 2012 [21]

Given the following functions below,

\begin{gathered} f(x)=\frac{x+12}{x^2+4x-12}\text{ and} \\ g(x)=\frac{4x^2-16x+16}{4x+48} \end{gathered}

Factorising the denominators of both functions,

Factorising the denominator of f(x),

\begin{gathered} f(x)=\frac{x+12}{x^2+4x-12}=\frac{x+12}{x^2+6x-2x-12}=\frac{x+12}{x(x+6)-2(x+6)}=\frac{x+12}{(x-2)(x+6)} \\ f(x)=\frac{x+12}{(x-2)(x+6)} \end{gathered}

Factorising the denominator of g(x),

\begin{gathered} g(x)=\frac{4x^2-16x+16}{4x+48}=\frac{4(x^2-4x+4)}{4(x+12)} \\ \text{Cancel out 4 from both numerator and denominator} \\ g(x)=\frac{x^2-4x+4}{x+12}=\frac{x^2-2x-2x+4}{x+12}=\frac{x(x-2)-2(x-2)}{x+12}=\frac{(x-2)^2}{x+12} \\ g(x)=\frac{(x-2)^2}{x+12} \end{gathered}

Multiplying both functions,

undefined

4 0
1 year ago
How much longer is the distance from the library to the park to the train station than the distance from the library straight to
Slav-nsk [51]

Answer:

2.14

Step-by-step explanation:

2.14+3.82= 5.96

5.96-3.82= 2.14

So, your answer would be 2.14

7 0
2 years ago
The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each
MakcuM [25]
The perimeter = 4 * length of a semicircle of radius 5 == 4*  pi * 5 =  20 pi cm



The area of one of the clear parts = 1/2 area of square - area semicircle

= 1/2 * 10^2  -  1/2 pi *5^2 = 50 - 12.5pi 

So area of shaded parts =  area of square -  4 (50 - 12.5pi)
 = 100 - 200 + 100pi = (100pi - 100) cm^2 
6 0
3 years ago
NEED ANSWER ASAP!!!! will mark you brainliest!!! Thank you!!!
iVinArrow [24]

Answer:

62°

Step-by-step explanation:

Since one arm making angle x is diameter. So, by inscribed angle theorem, we have:

x =  \frac{1}{2} (180 \degree - 56 \degree) \\  \\  x=  \frac{1}{2}  \times 124 \degree \\  \\  \huge \red{ \boxed{x = 62 \degree}}

5 0
2 years ago
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