Cot x = cos x / sin x
cot π/4 = cot 45° = cos 45° / sin 45°
We know that sin 45° and sin 45° have the same value:
cos 45° = sin 45° = √2 / 2;
cos 45° / sin 45° = √2/2 : √2/2 = 1
Answer:
cot π/4 = 1
Answer:
The volume of the concrete needed to make the block is 5054 ft³
Step-by-step explanation:
The question relate to the calculation of the volume of a shape
The dimensions of the block are;
The depth of the block, d = 19 ft.
The width of the block, w = 19 ft.
The length of the block, l = 14 ft.
The volume of a cube, V = Length, l × Width, w × Depth, d
Therefore, the volume, 'V' of a cubic block is given as follows;
V = l × w × d = 14 ft. × 19 ft. × 19 ft. = 5054 ft.³
The volume of the concrete needed to make the block = The volume of the block, V = 5054 ft³.
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Answer:
5456 sq. inches
Step-by-step explanation:
Let width = w,
Then length = w + 26
Perimeter = 2[length + width]
2[(w +26) + w] = 2[2w + 26] = 4w + 52
Perimeter given is 300
So, 4w + 52 = 300
4w = 248
w = 248/4 =62
length = 62 + 26 = 88
Area = length × width
Area = 88 × 62 = 5456 sq. inches
