Answer:
Therefore the maximum error in the surface area of the sphere is 22.27 cm².
Therefore the relative error is 0.014 (approx).
Step-by-step explanation:
Given that, The circumference of a sphere was 70 cm with the possible error 0.5 cm.
The circumference of the sphere is C 
∴C 
Differentiating with respect to r
[ relative error = dC= 0.5]
The surface area of the sphere is S= 
∴S=
Differentiating with respect to r
dS will be maximum when dr is maximum.
Putting the value of r and dr
[ ∵ C= 70 ]
⇒dS= 22.27 (approx)
Therefore the maximum error in the surface area is 22.27 cm².
Relative error 
=0.014 (approx)
Therefore the relative error is 0.014 (approx).
The problem indicates that A represents the number of tablet computers sold in millions. So, if 65 million were sold, we must substitute A = 65 to the equation. Then, we find for t.
65 = 4.5t² +43.5t + 17
Solving for t using a calculator,
t = 1 and -10.67
Let's take the positive root. So, t=1.
That means the year would be 1 year after 2010. <em>Therefore, the answer is 2011.</em>
Answer:
Step-by-step explanation:
Chords QP and RS are congruent
Chords PS and QR are congruent
Step-by-step explanation:
see the attached figure to better understand the problem
Part 1)
we know that
m∠PTQ≅m∠STR -----> by vertical angles
so
Triangles PTQ and STR are congruent by SAS postulate
because
PT≅ST ----> the radius of circle
QT≅RT ----> the radius of circle
m∠PTQ≅m∠STR
therefore
Chords QP and RS are congruent
Part 2)
we know that
m∠PTS≅m∠QTR -----> by vertical angles
so
Triangles PTS and QTR are congruent by SAS postulate
because
PT≅QT ----> the radius of circle
ST≅RT ----> the radius of circle
m∠PTS≅m∠QTR
therefore
Chords PS and QR are congruent
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that Tabitha started working at a coffee shop making $8.75 per hour and that every 6 months, she gets a $0.40 cents raise.
a. The formula to represent her hourly wage after each raise would be:
= $8.75 + 0.40m
where m = period of 6 months
b. Find her hourly wage at 3yrs.
First we should note that 3 years = 3 × 12 = 36 months. Therefore, we would have 6 periods in 36 months since there's an increase every 6 months.
Therefore, using the formula
= $8.75 + 0.40m
where m = 6
= $8.75 + 0.40(6)
= $8.75 + $2.40
= $11.15
