9514 1404 393
Answer:
$74.67
Step-by-step explanation:
Let p represent the original price. Then the relation is ...
$56 = p - 0.25×p
$56 = 0.75p
$56/0.75 = p ≈ $74.67
The original price was $74.67.
Isaiah walks 3 miles due north, turns and then 5 miles due east. How far is he from his starting point?
5.8
A 10-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the building does the ladder fall?
9.8
A television is measured by its diagonal. If the height of a 70 inch television is 42 inches, what is the width?
56
An equilateral triangle has a side length of 6. What is the height of the triangle?
5.2
A right triangle has a height of 12 and a width of 5. How long is the diagonal?
13
A string is tied to the top of a plant to keep it stabilized. The plant is 5 feet tall and the string is connected to the ground 2 feet from the base of the plant. How long is the string?
5.4
Answer:
The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.
The image is not attached with, but by reading the question it is obvious that the blue region lies inside the larger square and outside the smaller square. That is the region between the two squares is the blue region.
We know the dimensions of both squares, using which we can find the area of both squares. Subtracting the area of smaller square from larger one, we can find the area of blue square and further we can find the said probability.
Area of larger square = 8 x 8 = 64 in²
Area of smaller square = 2 x 2 = 4 in²
Area of blue region = 64 - 4 = 60 in²
The probability that a randomly chosen point lies within the blue region = Area of blue region/Total area available
Therefore, the probability that a point chosen at random is in the blue region = 60/64 = 0.9375
