Answer:
The answer to your question is A = 441.50 km²
Step-by-step explanation:
Data
Big triangle Small triangle
base = 33 km base = 19 km
height = 40 km height = 23 km
Process
1.- Calculate the area of the big triangle
Area = base x height / 2
Substitution
Area = 33 x 40 / 2
= 1320 / 2
= 660 km²
2.- Calculate the area of the small triangle
Area = 19 x 23 / 2
= 437 / 2
= 218.5 km²
3.- Subtract the small area to the big area
Share area = 660 - 218.5
= 441.50 km²
Answer:
Step-by-step explanation:
Let's "complete the square," which will give us the vertex of this vertical, opens-up parabola:
g(x) =x^2+4x+1 can be rewritten as g(x) =x^2+4x + 4 - 4 +1, where that +4 comes from squaring half of the coefficient of x.
Then we have g(x) =x^2+4x + 4 - 4 + 1 => g(x) = (x + 2)^2 - 3.
Comparing this to y = (x - h)^2 + k,
we see that the vertex, (h, k), is located at (-2, -3).
Plot this vertex. Also, plot the y-intercept (0, g(0) ), which is (0, 1).
This information is enough to permit graphing the function roughly.
9514 1404 393
Answer:
x = 36°
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angles. A linear pair is supplementary. So, you can find x either of two ways:
2x = x + (180 -4x) ⇒ 5x = 180 ⇒ x = 36
Or ..
4x = x + (180 -2x) ⇒ 5x = 180 ⇒ x = 36
The value of x is 36°.
