With 2 cubes, there are 3 ways to roll a sum of 4... 1 and 3, 3 and 1, 2 and 2.
with 2 cubes, there are 3 ways to roll a sum of 10....6 and 4, 4 and 6, 5 and 5.
total possible outcomes = (6 * 6 ) = 36
probability of this happening is 6/36 reduces to 1/6
Answer:
Question 1: y = 3/4x + 1/4.
Question 2: y = 6/5x + 7/5.
Step-by-step explanation:
Question 1: A line perpendicular to another line would have a slope that is the negative reciprocal of the other line. If the slope of the first line is -4/3, the slope of a line perpendicular to the first would have a slope of 3/4.
Since the line goes through (5, 4), we can just put the points into the equation, y = 3/4x + b.
4 = 3/4(5) + b
b + 15/4 = 4
b = 16/4 - 15/4
b = 1/4
So, the equation of the line is y = 3/4x + 1/4.
Question 2: 5x + 6y = -6
6y = -5x - 6
y = -5/6x - 1
As stated before, a line perpendicular to another will have a slope that is the negative reciprocal of the other. So, the slope of the other line is 6/5.
The line goes through (-2, -1), so we can put the points into the equation, y = 6/5x + b.
-1 = 6/5(-2) + b
b - 12/5 = -5/5
b = -5/5 + 12/5
b = 7/5
So, the equation of the line is y = 6/5x + 7/5.
Hope this helps!
Answer:
105.12 feets
Step-by-step explanation:
From the figure x we can identify a rectangle and a semicircle :
Area of rectangle = Length * width
Area = 8 * 10 = 80 feet²
The Area of a semicircle = 1/2πr²
Radius, r = 8 /2 = 4 feets
A = 1/2 * 3.14 * 4²
A = 3.14 * 8
A = 25.12 feet²
Area of figure = 80 + 25.12 = 105.12 feets
It could be any number that is 4 and under
In 1414 hours it covered 700 miles
In 1 hour it would have covered (700/1414) mile
In 33 hours it will then cover : 700/1414 * 33 = 16.34
So in 33 hours it will cover ≈ 16.34 miles.
