The diamond is 1 the square is 6 and the triangle is 7
A) What's the volume of this fish tank? Show all work and express your answer as a mixed number in its most simplified form!
By definition we have that the volume of a rectangular prism is given by:
V = (w) * (l) * (h)
Where,
w: width
l: long
h: height
We then have to replace the values:
V = (7) * (5.5) * (2.5)
V = 96.25 in ^ 3
Equivalently:
V = 96 1/4 in ^ 3
B) Could this fish tank hold 100 in³ of water? Answer yes or no, then explain why in one or more sentences.
No, this fish tank could not hold 100 in³ of water.
This is because the prism volume (part A) is less than 100 in ^ 3.
In other words;
96 1/4 in ^ 3 <100 in ^ 3
Answer:
length: 16 m; width: 13 m
Step-by-step explanation:
Write each of the statements as an equation. You know that the formula for the perimeter is ...
P = 2(L +W)
so one of your equations is this one with the value of P filled in:
• 2L + 2W = 58
The other equation expresses the relation between L and W:
• L = W +3 . . . . . . . . the length is 3 meters greater than the width
There are many ways to solve such a system of equations. Since you have an expression for L, it is convenient to substitute that into the first equation to get ...
2(W+3) +2W = 58
4W +6 = 58 . . . . . . . simplify
4W = 52 . . . . . . . . . . subtract 6
W = 13 . . . . . . . . . . . .divide by 4
We can use the expression for L to find its value:
L = 13 +3 = 16
The length is 16 meters; the width is 13 meters.
2, 6, 8) → D
each element in the domain ( - 1, 3, 5) maps to exactly one value in the range (2, 6, 8)
