Answer:
6 containers needed
Step-by-step explanation:
Given
----- Size
----- Size
Required
Determine the number of containers needed
This question illustrates the knowledge of fraction and division.
To get the number of containers needed, we simply divide the total size by the size of the container as follows;
Convert to improper fractions
--- Approximated
Answer:
C- 2
Step-by-step explanation:
f(-2)=4x+10
= 4*(-2)+10
=-8+10
f(-2)=2
Answer:k=4.5
Step-by-step explanation:4.5/1.5=3
Observe attached picture.
On picture we have:
A = height of flagpole = x ft
B = length of flagpole's shadow = 24 ft
C = height of sign = 6 ft
D = length of sign's shadow = 3 ft
When we draw a picture representing this problem we can also add another line marked in red. This way we can see that we have two right-angle triangles. We can see that both have same angle marked with α.
We can apply trigonometry rules to find height of flagpole.
From small triangle containing sign we can find tangens function:
Similarly we can do for large triangle containing flagpole:
We see that these two equations have same left sides. This means that their right sides must also be same:
We can solve for A:
Height of flagpole is 48 feet.
The domain is (-3,0) U (2,4)
The range is (-2,-1) U (1,2)
