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
Answer: The answer is (5(x-1))/3x
Step-by-step explanation:
5x² - 5/ 3x² + 3x
= 5(x+1)(x-1) all over 3x(x+1)
= 5x - 5 over 3x
Hope this info helps
Answer:
Step-by-step explanation:
Given is a function
Since leading term is positive,
the parabola is open up.
Let us write this in vertex form after completing the square
Hence we get vertex= (-5/2,-1/4)
Since this is a parabola open up we have the minimum point is only one at x=-5/2
So we have the function decreasing for x<-2.5 and increasing for x>-2.5
Decreases in
Increases in
You need a table to solve this problem. It will consist of 3 rows and 3 columns. The column across the top will be "number of liters", second column will be "% saline", and third column will be "total". First row will be 16% saline, second row will be 44% saline, and third row will be the "mix", the sum of the 2 strengths of solution. In the first row first column we will put x, since we don't know how much 16% saline we have. First row second column we will put .16, since that is the decimal equivalent to 16%, and in the total column we will put the product of x and .16 which is .16x. Second row first column we put a y since we don't know how much 44% saline solution we have. Second row second column we have .44 since that is the decimal equivalent to 44%, and the third column is the product of those 2 which is .44y. In the "mix" row, we have 28 in the first column since we want 28 L of the new solution, and in the second column we have .36 since we want this new solution to be 36% saline. The product of those 2 will go into the third column. That number is 10.08. The first column is the number of liters of solution. We know that we are adding the 2 different strength solutions to get a new solution with a new strength, so that equation, going straight down the first column, is x + y = 28. Going straight down the third column, we will add the strengths of these solutions. .16x + .44y = 10.08. We solve the first equation for x and get x=28-y. Sub that value into the second equation in place of x to get
.16(28-y) + .44y = 10.08. Distribute through the parenthesis to get 4.48 - .16y + .44y = 10.08. Combine like terms to get .28y = 5.6. Divide by .28 to get that y = 20. That means there are 20 liters of 44% saline in the mixture. If there are a total of 28 liters, then that means that there is 8 liters of 16% saline solution in the mixture.
Answer:
-94%, -0.925, -9/10, -8/9
Step-by-step explanation:
-94% = -0.94
-8/9 = -0.89
-9/10 = -0.90
Since the values are negative the order is opposite then if they were all positive.