What is 377,060 written in expanded form using exponents
1 answer:
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Question:
The diagram below shows the graph of a proportional relationship. The plotted point is (6,9) .
What is the unit rate of this graph? Be sure to simplify your answer.
Answer:
The unit rate of this graph is 1.5
Explanation:
The graph shows a proportional relationship and the plotted point is (6,9).
The unit rate of the graph can be determined by the formula,
Thus, from the graph, the coordinates are (0,0) and (6,9)
Substituting the coordinates in the formula, we have,
Subtracting, we get,
Thus, the unit rate of the graph is 1.5
Given:
The base of 40-foot ladder is 8 feet from the wall.
To find:
How high is the ladder on the wall (round to the nearest foot).
Solution:
Ladder makes a right angle triangle with wall and ground.
We have,
Length of ladder (hypotenuse)= 40 foot
Base = 8 foot
We need to find the perpendicular to get the height of the ladder on the wall.
Let h be the height of the ladder on the wall.
According to the Pythagoras theorem,
Taking square root on both sides.
Height cannot be negative. Round to the nearest foot.
Therefore, the height of the ladder on the wall is 39 foot.