The friend is wrong - According to the Pythagorean Theorm, if c is the hypotenuse and a and b are opposite sides then c^{2} = a^{2} + b^{2}
if c=65 inches, a=16 inches and b = 63 inches, then
65^{2} =16 ^{2} + 63^{2}
right hand side of the equation = 256 + 3969 = 4225
left hand side of the equation = 65^{2}= 4225
So we see, left hand side = right hand side
Hence the theorm is proved.
Answer:
Step-by-step explanation:
Birth Rate in 1994 = 14.6 births per thousand population.
Birth Rate in 2004 = 14.32 births per thousand population.
A linear equation is of the form: y=mx+c
Where:
- x=years after 1994
- y=the birth rate
- m=Yearly Birth Rate
First, we determine the birth rate per year
Therefore, a linear equation that relates y in terms of x is of the form:
When x=0, y=14.6
14.6=-0.028(0)+c
c=14.6
Therefore, the linear equation that relates y in terms of x is:
Answer:
a) d = 3.6t
b) 10.8 miles
c) 1.2 hours
Step-by-step explanation:
For part a:
Slope of a line: y = mx + b
In this case, the equation would be: d = mt,
where m represents the speed Caden is walking at.
Note: b = 0 in this case because when Caden starts walking on the treadmill, he hasn't really covered any distance yet.
Therefore, plugging in a speed of 3.6 miles per hour, the equation is:
d = 3.6t
For part b:
This is a simple instance of plugging in 3 hours for our t value.
Therefore, d = 3.6 (3)
d = 10.8 miles
For part c:
In this case, we are given that d = 4.32 miles.
Therefore, 4.32 = 3.6t
Dividing both sides by 3.6, we get
t = 1.2 hours
Since Sarah’s age is 2x of Bob’s age (which is 42) Sarah is 84.
Choices given were:
<span>A. personal
B. business
C. government
</span>
Among the choices, macroeconomics focus on C. GOVERNMENT.
Macro means large or large-scale. Macroeconomics deal with economies in a larger scale like national, regional, or global market which government is involved with.
