Answer:
Length = 56
Step-by-step explanation:
Perimeter = Length + Length + Width + Width
Perimeter = 2L + 2W
2L + 2W = 204
2L + 2(46) = 204
2L + 92 = 204
Subtract 92 from both sides
2L = 112
Divide both sides by 2
L = 56
Length = 56
answer:
set 4
Step-by-step explanation:
because when you divide the numbers 12,16 and 20 by 2 you'll get 6,8 and 10 which is a Pythagoras family....and it will form a right angle triangle
Answer:
a = √11 and b = 6
Step-by-step explanation:
Refer to attached picture for reference
for an right triangle with angle θ
we are given
cos θ = 5/6 = length of adjacent side / length of hypotenuse
hence
adjacent length = 5 units
hypotenuse length = 6 units
the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:
hypotenuse ² = adjacent ² + opposite² (rearrange)
opposite ² = hypotenuse ² - adjacent ²
opposite ² = 6² - 5²
opposite = √ (6²-5²) = √11
sin θ = opposite length / hypotenuse (substitute values above)
sin θ = √11 / 6
hence a = √11 and b = 6
Step-by-step explanation:
Area of square
A = s²
A = 28²
A = 28 × 28
A = 784 cm²