<span>We know Sin theta is given by Perpendicular/ hypotenuse.
Hence in this case the angle given is 30 degree and hypotenuse is given as 10 foot.
Hence Sin 30= P/ 10
1/2= P/10
Hence on solving value of P is 5.
Now we have to compute the theta value for Perpendicular as 5 and now the height of ramp is increased to 15 foot, hence hypotenuse is now 15 foot.
Hence Sin theta= 5/15
On taking inverse of Sin Theta we will get the theta value as 19.47.
Hence the angle of ramp should is 19.47 degrees.</span>
L - Lane's age
m- Mel's age.
Lane is 10 times Mel's age, so 10m = l
difference in their age is 27 so l - m = 27
Substitute l = 10m and you'll have:
10m - m = 27
9m = 27 /:9
m=3
And l = 10m = 10*3 = 30
So Lane has 3 years old and Mel has 30 years old.
<span>The least number of equal sized pieces each posterboard could have is given by the lowest common multiple of 5 and 2.
The LCM of 5 and 2 is 10.
Therefore, the </span><span>least number of equal sized pieces each posterboard could have is 10.</span>
Solve using the KCF Method (Keep, Change, Flip)
1/8 / 1/2
1/8 stays the same
= 1/8 x 1/2
Change the division sign into multiplication
= 1/8 x 2/1
Flip 1/2 so it can be 2/1
= 2/8
Multiply as you would. (Numerator x Numerator, Denominator x Denominator)
= 1/4
Simplified