It will be secx = 2
or, cosx = 1/2
or x = Π/3 , 5Π/3
Answer:
25 ft
Step-by-step explanation:
The diagram shows two triangles that are similar. Similar triangles have equal angles and sides that are proportional to each other. Since the base of each triangle is given, we can find the proportion of the sides:
Given the ratio of the smaller to larger triangle, we can set up a proportion to find the missing height of the larger triangle:
, where 'x' represent the height of the tree
cross-multiply: x = (5)(5) or 25 ft
Answer:
90 sq inches
Step-by-step explanation:
The lateral area is the side area of the pyramid. In this case, there are 3 sides because the base is a triangle. Since the base is an equilateral triangle, all sides are of equal dimensions. So, the sides of the pyramid are also all of the same size, area.
We then just have to figure out the area of one of the side triangles, then multiply it by 3 to get the total lateral area of that pyramid.
We know how to calculate the area of a triangle: A = (b * h)/2
In this case, b = 5 in, h = 12 in. So,
TA = (5 * 12)/2 = 60 / 2 = 30
Each side triangle has an area of 30 sq inches.
LA = 3 * TA (since there are 3 sides)
LA = 3 * 30 = 90 sq inches
Complex roots occur when b^2 - 4ac is negative.
So we have (-6)^2 - 4.1.k < 0
-4k < - 36
k > 9
Yes, James is correct.
Think of a pizza. If there are 5 slices and you have all 5 of them, then you have the whole pizza.
Now, instead of the pizza having 5 slices, it now has 10. Since the pizza is still the same size, the pieces are going to smaller. If you have 9 slices out of the 10, you won't have the whole pizza.
This is why 5/5 is greater than 9/10.
