Answer:
Middle: 2.5 ft
Right: 4,375 ft
Left: 1,875 ft
Step-by-step explanation:
We know that a tree in the middle is 2.5 feet tall.
Now the tree on the left measures 3/4 of the tree in the middle, therefore:
2.5 * 3/4 = 1.875
Which means that the tree on the left is 1.875 feet tall.
Finally the tree on the right 1 3/4, which would be 1.75 times the tree in the middle, therefore:
2.5 * 1.75 = 4.375
Therefore the tree on the right is 4.375 feet tall.
Answer:
y=-2/9 x – 9
Step-by-step explanation:
It really is simple translation because this is written in y=mx+b, where b is the given y-intercept. From there, just subtract what is needed to go down or add what is need to go up.
y=-2/9 x – 7 – 2
.:y=-2/9 x – 9
Answer:
Tamara's example is in fact an example that represents a linear functional relationship.
- This is because the cost of baby-sitting is linearly related to the amount of hours the nany spend with the child: the more hours the nany spends with the child, the higher the cost of baby-sitting, and this relation is constant: for every extra hour the cost increases at a constant rate of $6.5.
- If we want to represent the total cost of baby-sitting in a graph, taking the variable "y" as the total cost of baby-sitting and the variable "x" as the amount of hours the nany remains with the baby, y=5+6.5x (see the graph attached).
- The relation is linear because the cost increases proportionally with the amount of hours ($6.5 per hour).
- See table attached, were you can see the increses in total cost of baby sitting (y) when the amount of hours (x) increases.
We will be using the Angle Addition Postulate in this problem.
This states that if <em>c</em> is on the interior
of <ABD, then m<ABC + m<CBD = m<ABD.
Since m<ABC is 4x + 2, m<CBD is 3x - 7, and m<AVD is 100,
our equation will be 4x + 2 + 3x - 7 = 100.
Solving from here, we first simplify the left side to get 7x - 5 = 100.
Now add 5 to both sides to get 7x = 105.
Dividing both sides by 7, we find that <em>x = 15</em>.
Now we can use the value of x to help us find m<ABC.
Since the m<ABC is 4x + 2, we can substitute a 5 in for x.
This gives us 4(15) + 2 or 60 + 2 which is 62.
So m<ABC is 62°
S≤12 s is equal to or less than 12 because 20 minus 12 equals 8. The class will still be held. Any number less than 12, there will be more students than 8 and the class will still be held.