If you are saying that the hypotenuse is 10 cm the you have to solve the following equation using the Pythagorean theory.
4^2 + b^2 = 10^2
16 + b^2 = 100
16 - 16 + b^2 = 100 - 16
b^2 = 84
Find
Lee needs some school supplies. He will buy 3 notebooks for $1.29 each, 2 dozen
2 answers:
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To approximate the volume with 8 boxes, we have to split up the interval of integration for each variable into 2 subintervals, [0, 1] and [1, 2]. Each box will have midpoint that is one of all the possible 3-tuples with coordinates either 1/2 or 3/2. That is, we're sampling
at the 8 points,
(1/2, 1/2, 1/2)
(1/2, 1/2, 3/2)
(1/2, 3/2, 1/2)
(3/2, 1/2, 1/2)
(1/2, 3/2, 3/2)
(3/2, 1/2, 3/2)
(3/2, 3/2, 1/2)
(3/2, 3/2, 3/2)
which are captured by the sequence
with each of being either 1 or 2.
Then the integral of over
is approximated by the Riemann sum,
(compare to the actual value of about 4.159)
Answer:
Hannah needs 10 gallons of soda and 15 gallons of fruit drink
Step-by-step explanation:
Let
x -----> the number of gallons of soda needed
y ----> the number of gallons of fruit drink needed
we know that
-----> equation A
-----> equation B
Solve the system by graphing
Remember that the solution of the system of equations is the intersection point both graphs
The solution is the point (10,15)
see the attached figure
therefore
Hannah needs 10 gallons of soda and 15 gallons of fruit drink
