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:
The equation is p=34a+12, and a=7
Step-by-step explanation:
Perimeter is all of the sides added together
p=12a+6a+8+6a+8+10a-4
Combine like-terms
p=34a+12
Solve for a by making p equal to 250
250=34a+12
Subtract 12 from both sides
238=34a
Divide both sides by 34
7=a
Answer:
12 is 3/4 of what number? You need to divide by the top and multiply by the bottom. 12 divided by 3 is 4, and 4 times 4 is 16.
The probability that both marbles will be a red color is:
6..... ⇔ number that satisfies the constraint
_____
15..... ⇔ number of outcomes
Answer:
The area of the circle is 28.26
The area of the circle in terms of pi is 9π
Step-by-step explanation:
radius = half of diameter
d = 6
r = 6/2 = 3
To solve this problem we need to use the area formula of a circle:
a = area
r = radius = 3
π = pi
a = π * r²
we replace with the known values
a = π * (3)²
a = π * 9
a = 9π
The area of the circle in terms of pi is 9π
9 * 3.14 = 28.26
The area of the circle is 28.26
