Answer:

Step-by-step explanation:
Assuming
and
are vectors, their dot product is
where
:

Therefore, 
Answer:
The correct option is:
Building B; it is around 16.35 feet taller than building A.
Step-by-step explanation:
Consult the diagram below where the first figure represent building A and second figure represents building B
For building A:
tan θ = Perpendicular / Base
tan 73° = Height of building A / 30
Height of building A = tan73 · 30
Height of building A = 98.13 ft
For building B:
tan θ = Perpendicular / Base
tan 73° = Height of building B / 35
Height of building A = tan73 · 35
Height of building A = 114.48 ft
Building B is taller
Difference in height = height of building B - height of building A
Difference in height = 114.48 - 98.13 = 116.35 feet
Answer:
4 : 7
Step-by-step explanation:
No. of families = 2400
No. of cars = 4200
Family : Cars
= 2400 : 4200
= 24 : 42
= 6 x 4 : 6 x 7
= 4 : 7
13/15
Common denominator is 15, 1 3/15 minus 5/15 equals 13/15
First you make -1 3/5 into an improper fraction, -8/5
Since you're dividing a fraction by another fraction you'd change it to -8/5 × -3/2
(Don't forget to flip -2/3 to -3/2)
when you multiply it it'd be 24/10
(It is a positive number because when you multiply two negative numbers it becomes positive)
24/10 as a mixed fraction is 2 1/5