Answer:
3
Step-by-step explanation:
We can start by writing one fourth as a fraction
1/4
Then we multiply it by 12.
1/4*12
This also means 12 divided by 4 which is 3.
<span>We have the sequence that follows the pattern: a n = - 4 n + 13. If we want to calcelate the 14th term in this sequence ( or a 14 ), we have to substitute in this formula: n = 14. Then we will get: a 14 = - 4 * 14 + 13 a 14 = - 56 + 13, and finally: a 14 = - 43. Answer: The 14th term in the sequence is - 43.</span>
Answer:
cot(θ)=5/12
Step-by-step explanation:
(I'm going to replace theta with x to save time.)
Recall that sine is equal to opposite over hypotenuse. Thus:
sin(x)=12/13, this means that the opposite side is 12 while the hypotenuse is 13 (well, it doesn't have to be, but their ratios are).
Find the adjacent side using the Pythagorean Theorem.
13^2 = 12^2 + adj^2
adj^2 = 25
adj = 5.
Recall that tan(x) is opposite over adjacent. This means that cot(x) is adjacent is opposite.
Therefore: cot(x) = 5/12.
Explanation:
The square base of the pyramid has four sides with length 15 inches, making its perimeter four times that, or 60 inches. The slant height is
112×60=90 inches.
Therefore, the area of the base is B=152=225 square inches.
Each of the four lateral triangles has area 12⋅15⋅90=675 square inches.
The total surface area is 225+4⋅675=2,925 square inches.
