Answer:
<h2>22ft</h2>
Step-by-step explanation:
Step one:
given that the orientation of the garden is a triangular shape(it has three sides)
the perimeter is given as=46ft
one side y=11ft
the second side z= 13ft
let the third side be xft
Step two:
the expression for the perimeter = z+y+x
46=11+13+x
46=24+x
solve for x
x=46-24
x=22ft
Therefore the third side is 22ft long
Hi there!
~
cosec 20 -cot 40= 1/sin 20 - cos 40/sin 40
= (sin 40 -cos 40 sin20)/(sin 40 sin 20)
= 1/sin 40 ( 2 cos 20 - cos 40)
=1/sin20 ( 2 cos(60-40)-cos 40)
=1/sin40( 2 cos 60 cos 40 - 2 sin 60 -sin 40-cos 40)
Put the value of cos 60
= 1/sin 40 ( 2 sin 60 sin 40)
=root(3)
Hope this helped you!
Answer:
24,840 cubic inches
Step-by-step explanation:
18 x 30 = 540 - rectangle house front surface area
540 + .5(30 x 10) = 690 - triangle house front surface area
690 x 36 = 24,840 - (rectangle + triangle surface area) x depth
Answer: (b)
Step-by-step explanation:
Let the number of cows be x and their legs be 4x.
Let the number of chicken be y and their legs be 2x.
Total number of legs = 4x + 2y.
Total number of heads = x + y.
The number of legs was 14 more than twice the number of heads.
Therefore, 2 × (x + y) + 14 = 4x + 2y.
or, 2x + 2y + 14 = 4x + 2y.
or, 2x + 14 = 4x [subtracting 2y from both sides].
or, 14 = 4x – 2x [subtracting 2x from both sides].
or, 14 = 2x.
or, x = 7 [dividing by 2 on both sides].
Therefore, the number of cows = 7.