Velocity=distance/time
v=d/t
So in this case:
v=(3mi/5)/(3hr/8) that's the equation you need to solve.
v=(3m/5)*(8/3hr)
8/5 mph=(3m/5)*(8/3hr)
1 3/5 mph= (3/5)/(3/8)
So the first statement is correct.
This is a classic example of a 45-45-90 triangle: it's a right triangle (one angle of 90) & two other sides of the same length, which means two angles of the same length (and 45 is the only number that will work). With a 45-45-90 triangle, the lengths of the legs are easy to determine:
45-45-90
1-1-sqrt2
Where the hypotenuse corresponds to sqrt2.
Now, your hypotenuse is 10.
To figure out what each leg is, divide 10/sqrt2 (because sqrt2/sqrt2 = 1, which is a leg length in the explanation above).
Problem: you can't divide by radicals. So, we'll have to rationalize the denominator:
(10•sqrt2)/(sqrt2•sqrt2)
This can be rewritten:
10sqrt2/sqrt(2•2)
=10sqrt2/sqrt4
=10sqrt2/2
=5sqrt2
Hope this helps!!
Answer:
Domain (-∞,∞)
Range (0, ∞)
Step-by-step explanation:
The domain of a function is always the set of all real numbers therefore the domain is going to be (-∞,∞). The range is (0, ∞) because 0 is one of the outputs for the function
P=63+63(3/100)
p=63(1+3/100)
p=63(1.03)
p=$64.89
Answer:
c=7.07
Step-by-step explanation:
c²=a²+b²
c²=5²+5²
c²=25+25
c²=50
c=√50
c=7.07
B. c=7.07 (to nearest hundredth)
C. c=√50= 5√2 in radical form