<span><span>1.
</span>Lucas Lives 5/8 miles from their schools
=> 5/8 miles is equals to:
=> 5 / 8 = 0.625 miles.
Now, the problem says that Kenny lives twice as far as Lucas from their school.
Therefore, we only need to multiply the total number of miles of Lucas distance
from house to school to be able to get what is the distance of Kenny’s house to
school
=> 0.625 * 2 = 1.25 miles or 1 and ¼ miles.</span>
16: B; irrational number, real
17: C; whole, integer, rational, real
18: B; real, rational, integer
I believe the X numbers are divided by 2, to get the Y numbers. So the blank X box is 1 and the other is 12.
You have to build the triangles.
They are such that:
h is the common height
x is the horizontal distance from the plane to one stone
Beta is the angle between x and the hypotenuse
Then in this triangle: tan(beta) = h / x ......(1)
1 - x is the horizontal distance from the plane to the other stone
alfa is the angle between 1 - x and h
Then, in this triangle: tan (alfa) = h / [1 -x ] ...... (2)
from (1) , x = h / tan(beta)
Substitute this value in (2)
tan(alfa) = h / { [ 1 - h / tan(beta)] } =>
{ [ 1 - h / tan(beta) ] } tan(alfa) = h
[tan(beta) - h] tan(alfa) = h*tan(beta)
tan(beta)tan(alfa) - htan(alfa) = htan(beta)
h [tan(alfa) + tan(beta) ] = tan(beta) tan (alfa)
h = tan(beta)*tan(alfa) / (t an(alfa) + tan(beta) )
Answer:
6
Step-by-step explanation:
4^2 / 8*3=
16/8*3=
2*3=
6
