A marathon is 46,145 yards (about 26 miles) long. If Terrence has run 23,561 yards, estimate by rounding to thousands the number
1 answer:
Given:
The length of the marathon is L= 46,145 yards.
The length covered by terrence is d = 23,561 yrads.
The objective is to find the remaining distance need to cover by terrence.
To calculate the remaining distance, we will use the relation,
On plugging the values in the above relation, we get,
Hence, Terrence needs to run about 23000 yards.
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Answer:
Part a) The ratio of the perimeters is
Part b) The ratio of the areas is
Step-by-step explanation:
Part A) What is the value of the ratio (new to original) of the perimeters?
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let
z-----> the scale factor
x-----> the perimeter of the new triangle
y-----> the perimeter of the original triangle
we have
substitute
Part B) What is the value of the ratio (new to original) of the areas?
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z-----> the scale factor
x-----> the area of the new triangle
y-----> the area of the original triangle
we have
substitute
Answer:
Events E and F are independent.
Step-by-step explanation:
E = {multiple of 3} = {3, 6, 9, 12}
P(E) = 4/12
F = {even number} = {2, 4, 6, 8. 10, 12}
P(F) = 6/12
E and F = {even and multiple of 3} = {6, 12}
P(E∩F) = 2/12
In order for two events to be independent the following relationship must be true:
Testing this property:
The relationship holds true, thus events E and F are independent.
Without using the trigonometry ratio, we can find the distance between the ship and the buoy by:
the distance between City and Lemont SUBTRACT the vertical distance between City and the point parallel to the Ship
The distance between the City and Lemont can be worked out using the Sin rule
≈98.3
The vertical distance between the City and the point parallel to the ship can be worked out using the Pythagoras theorem
≈36.8
The distance between the ship and the Buoy is given:
miles
the distance between City and Lemont SUBTRACT the vertical distance between City and the point parallel to the Ship
The distance between the City and Lemont can be worked out using the Sin rule
The vertical distance between the City and the point parallel to the ship can be worked out using the Pythagoras theorem
The distance between the ship and the Buoy is given: