The answer is 5000 ft
His displacement is actually the hypotenuse (c) of the triangle with sides 6 blocks and 8 blocks.
According to the Pythagorean theoreme:
c² = a² + b²
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = √100
c = 10 blocks
Since 1 block is 500ft long, then 10 blocks are 5000 ft long:
1 : 500ft = 10 : x
x = 10 * 500ft / 1 = 5000 ft
Answer:
The events occur together
Step-by-step explanation:
A simple association forms between two events when these events occur together dependently.One event will rely on another to happen first for it to take place.In this case, the occurrence of one event influences the probability of the other event happening.
Answer: 800pi inches
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Explanation:
The formula to find the circumference of a circle is
C = pi*d
where
C = distance around the circle (aka circumference)
pi = 3.14 approximately
d = diameter
We know that the diameter of the wheel is d = 8, so
C = pi*d
C = pi*8
C = 8pi
is the circumference of the wheel
One full rotation will have the wheel cover a distance of 8pi inches. Imagine that wet paint is on the outer surface of the wheel. If the wheel is rolled out in a straight line, then the wet paint would cover a linear distance of 8pi inches along the flat ground. This is one full rotation, so 100 rotations covers 100*8pi = 800pi inches
Note: if we use pi = 3.14 as the approximation, then the hamster ran approximately 800*pi = 800*3.14 = 2512 inches if the wheel could move
Answer:
a. 4
b. -8
c. -2
Step-by-step explanation:
Take any number x;
Its opposite is -x
The opposite of its opposite is x
Using the above statements, we can solve the following questions
Solving (a): -4
In this case:
The opposite; -x is
Solving (b): 8
In this case:
The opposite; -x is
Solving (c): -2
In this case:
The opposite; -x is
The opposite; -(-x) is
