The answer is c
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Answer:
Below
Step-by-step explanation:
You can use Pythagorean theorem to find the hypotenuse of a right triangle.
a2 + b2 = c2
The square root of 15 = 3.8729.... (a bunch of other numbers)
4^2 + 3.8729^2 = c2
16 + 15 = 31
Now that you have this, you need to find the square root
The square root of 31 = 5.56775436
Rounding this to the tenth it would be: 5.57
Final answer: C = 5.57
hope this helps! :)
The answer is 0.6, 5 or higher add one more, 4 or less stays the same
Answer: Therefore the demand function can be given as;
q = -3/2p + 1590
Step-by-step explanation:
Given that at;
$900 the monthly demand is 240. ....1
$850 the monthly demand is 315. ....2
Since, the function is a linear function. The demand function would be of the form;
q = mp + c ....5
Where q = quantity demanded
p = price m = slope and c = intercept
Substituting conditions 1 and 2 to the equation.
240 = 900m + c. ...3
315 = 850m+ c ...4
Subtracting eqn 4 from 3
-75 = 50m
m = -75/50
m = -3/2
Substituting m = -3/2 into equation 3;
We have,
240= -3/2(900) + c
c = 240 + 3/2(900)
c = 1590
Therefore the demand function can be given as; substituting m and c into equation 5, we have;
q = -3/2p + 1590
Answer:
The first thing you should do for this case is to draw the ordered pairs in the plane and join the points.
The area you are looking for is the area of a rectangle plus the area of a triangle.
Thus, the total area will be
At = (8) * (4.5) + (1/2) * (4) * (2.5) = 41
answer
the area of the city is 41 units^2
Step-by-step explanation:
41 square miles If you draw the outline of the city, you'll realize that if you draw a line from point B to point D, that you can subdivide the city into a triangle and a trapezoid. After performing the division, you can then calculate the area of both polygons and the add their areas together. So first, let's deal with the trapezoid ABDE. The area of a trapezoid is the average of the length of the parallel sides multiplied by the height. The parallel sides are AB and DE. So: ((18-10)+(14-10))*(9-4.5)/2 =(9 + 4)*(4.5)/2 = 12*4.5/2 = 27 Now for the area of triangle BCD. The area of a triangle is 0.5*b*h where b is the base and h the height. I'll use BC as the base and the distance from BC to D as the height. So: (9-2)*(18-14)/2 = 7*4/2 = 14 And now to add the areas. 27 + 14 = 41 So the area of the city is 41 square miles. Note: The subdivision used is not the only possible subdivision, just one of the easier ones. I could have divided the city area into 3 triangles ABE, BDE, and BCD and solved it that way instead. It was just a happy coincidence that AB and DE were parallel and as such I was able to use trapezoid ABDE instead of the two triangles ABE and BDE.
