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borishaifa [10]
3 years ago
9

A triangular building is bounded by three streets. The building measures approximately 83 feet on the first​ street, 189 feet on

the second​ street, and 178 feet on the third street. Approximate the ground area K covered by the building.
Mathematics
1 answer:
guajiro [1.7K]3 years ago
3 0
For this case we use Heron's formula to calculate the area of the building.
 We have then:
 A = root ((s) * (s-a) * (s-b) * (s-c))
 Where,
 s = (a + b + c) / 2
 Substituting values:
 s = (83 + 189 + 178) / 2
 s = 225 feet
 A = root ((225) * (225-83) * (225-189) * (225-178))
 A = 7352.509776 feet ^ 2
 Rounding off we have:
 A = 7353 feet ^ 2
 Answer:
 
The ground area K covered by the building is:
 
K = 7353 feet ^ 2
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A Triangle
postnew [5]

Answer:

58 cm

Step-by-step explanation:

if both shapes are squares, then the perimeter must be divide by all 4 equal sides

36 / 4 = 9, so each side of the first shape is 9 cm

40 / 4 =10 , so each side of the second shape is 10 cm

by putting the shapes together two of the side seal 1 side of each shape but 10-9 is 1 so add all three sides of the rest of the shape,

so 9+ 9+ 9= 27, then the three side of the second shape,

so 10+ 10+ 10= 30, then that extra 1 cm of difference from the size difference when put together,

so 27+ 30+ 1= 58 cm

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Use the x-intercept method to find all real solutions of the equation.<br> x^3-8x^2+9x+18=0
meriva

Answer:

a. x=-1,3,\:or\:6

Step-by-step explanation:

The given equation is;

x^3-8x^2+9x+18=0

To solve by the x-intercept method we need to graph the corresponding function using a graphing calculator or software.

The corresponding function is

f(x)=x^3-8x^2+9x+18

The solution to x^3-8x^2+9x+18=0 is where the graph touches the x-axis.

We can see from the graph  that; the x-intercepts are;

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Therefore the real solutions are:

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Answer:

(A) the number of units produced and sold at break-even point is the value of X and that is 1.126 units.

(B) the dollar amount coming in and going out at this point/level is the price of X and that is 0.37 dollars

(C) the profit function for X units produced and sold is: π(x) = R(x) - C(x)

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Step-by-step explanation:

(A) C(x) = 75x + 84 ...(equation 1)

660R(x) = 245x

R(x) = 245x ÷ 660 = 0.3712x

So R(x) = 0.3712x ...(equation 2)

To find X, equate the cost function to the revenue function

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Since quantity cannot be negative in real life situation, we use the modulus of X in place of the above value.

|X| = 1.126 hence X = 1.126 now

Since we equated cost to revenue in order to get this quantity X, X is the quantity produced and sold at break even point.

Break-even point is the point where cost = revenue

This is also the point where profit is zero because profit = revenue - cost

(B) Revenue = Price × Quantity

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Our revenue here is 0.3712x

Which is equal to 0.418 dollars

So P = R÷Q

Price = 0.418÷1.126 = 0.37 dollars

(C) This is the profit function from producing and selling X units of the product: π(x) = R(x) - C(x)

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Answer:

$614.63

Step-by-step explanation:

you would multiple 16.50 by 37.25 and the answer comes to 614.625 you would round up to $614.63

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