First of all, we have to observe this triangles separated by the height. These small and big triangles are similar according to the Angle-Angle-Angle principle.
a. We can find all of these length using the cosine of the angle, Pythagoras theorem and the principle of the similarity of triangles.
b. According to the cosine of the angle we can write that, cosθ = 12/a = 5/13 and from here a = 31.2. After finding that using Pythagoras theorem, we can write that
. According to the similarity of the triangles, we can write that 31.2/d = 28.8/12 and d = 13. Applying Pythagoras theorem we find that c = 5.
c. We already gave the answer for this question in part b
N= pounds of nuts
3n= 10.35
n= 3.45
Answer:
9.093
Step-by-step explanation:
Of means multiply
.7 * 12.99
9.093
Answer:
(-5,3)
Step-by-step explanation:
The point (5,7) translated down 4 units gets to the point (5,3). If you reflect it over the y-axis, the x-coordinate becomes negative, and the y-coordinate stays the same. This gets you the point (-5,3)
Hope it helps and is correct!
Answer:
Applied the definition and the limit.
They had the same result, so the function is continuous.
Step-by-step explanation:
At function f(x) is continuous at x = a if:

In this question:

At x = 3.


Since
, f(x) is continuous at x = 3.