Simplify the expression
6² + 9²
6² = 6 x 6 = 36
9² = 9 x 9 = 81
36 + 81 = 117
117 is a rational number ∴ <span>6</span>²<span> plus 9</span>² is rational
hope this helps
Considering it's dimensions and the formula, the volume of the cuboid is of 160 cm³.
<h3>What is the volume of a rectangular prism?</h3>
The volume of a rectangular prism, such as a cuboid, is given by the <u>area of the base multiplied by the height</u>, that is:
V = Ab x h
In this problem, the base is a square of sides 4 cm, with the height of 10 cm, hence the volume is given by:
V = 4² x 10 = 160 cm³.
More can be learned about the volume of a cuboid at brainly.com/question/22694657
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Answer:
-6 33/40
Step-by-step explanation:

Suppose the interest rate is 4%, the equivalent of $200 in one year will be:
A=P(1+r/100)^n
where:
p=principle amount
r=rate
n=time
Hence the amount in 1 year will be:
A=200(1+4/100)^1
A=$208
Therefore $200 today is equivalent of $208 in 1 year.
Given:
limit of $36 and 20 pounds of food in his back pack
pasta : 1 pound package @ $1
pasta sauce: 1.5 pound jar @ $3
x = number of pasta package
y = number of jar of pasta sauce
Constraint on the weight:
x + 1.5y <u><</u> 20
Constraint on the cost of purchase.
x + 3y <u><</u> 36