A^2 = b^2 + c^2 - 2bc cos a
= 11^2 + 5^2 - 2*5*11 cos 40
= 7.86 to 2 DP's
to find the remaining angles use the sine rule:-
a / sin A = b / sin B so
7.857/ sin 40 = 11 / sin B
sin B = 11 sin40 / 7.857 = 0.8999
<B = 64 degrees
so <C = 180 - 64-40 = 76 degrees
Answer:
The average rate of change on the given interval is 9/70
Step-by-step explanation:
Here, we are to find the average rate of change of the function on the given interval
We proceed as follows;
on an interval [a,b] , we can find the average rate of change using the formula;
f(b) - f(a)/b-a
From the question;
a = 0
b = 3
f(0) = -3/5
f(3) = -3/14
Substituting the values, we have;
-3/14-(-3/5)/3-0
= 3/5-3/14/3
= (42-15)/70/3
= 27/70/3
= 27/70 * 1/3 = 9/70
Answer:
Step-by-step explanation:
[{((7^2)+1)-5}*3]
=[{(49+1)-5}*3]
=[{50-5}*3]
=[45*3]
=135
The first discounted price is given through the equation,
discounted price = ($3.45)(1 - 0.20) = $2.76
Then, due to the privilege of being a Coles-Myer discount card holder, another 7.5% discount is given. Such that the final price would be,
final price = ($2.76)(1 - 0.075) = $2.553
The total amount saved up is equal to,
$3.45 - $2.553 = $0.897
Well, you need to see which is equal to 6*8
6*8 = 48
14*1 = 14
6*4*8 = 192
(4+2)*(7+1) = 48