You would have 1 1/3 cups
Answer:
2 rays that meet at an end point
Step-by-step explanation:
Step-by-step explanation:
the perimeter is the easiest, really. we only need to add all side lengths. there is nothing else to the perimeter calculation.
so,
perimeter = 6.5 + 2.5 + 6 = 9 + 6 = 15 ft.
area is also relatively easy for right-angled triangles, because the sides that enclose the 90° angle, act also as height of the triangle to each other.
so, it is a half-rectangle, and we only need to multiply these 2 sides (not including the Hypotenuse) and divide this by 2.
area = 6×2.5/2 = 3×2.5 = 7.5 ft²
Answer:
20
Step-by-step explanation:
The average term in the series is the average of the first and last terms:
average term = (25 +101)/2 = 126/2 = 63
The sum of the series is the product of the average term and the number of terms:
Sn = n(average term)
1260 = 63n
1260/63 = n = 20
The number of terms in the series is 20.
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.