The number of rectangular prism container that would be set on the shelf is: 4.
<h3>What is the Volume of a Rectangular Prism?</h3>
Volume of rectangular prism = length × width ×height
Given the following:
- Volume of three containers = 135 in.³
- Volume of each rectangular prism container = 135/3 = 45 in.³
- One face = width × height = 4.5 × 2 = 9 in.
Find the length of one rectangular prism using the volume formula since volume for one prism = 45 in.³
45 = length × 9
length = 5 in.
Each rectangular prism container is 5 in. long, therefore, the number of the containers that can be set on the shelf that is 24 in. long, if the 4.5 in by 2 in. face touches each other = 24/5 = 4.8.
The fifth container won't fit in. Therefore, the number of rectangular prism container that would be set on the shelf is: 4.
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Answer:
4.950 m
Step-by-step explanation:
3.5^2+3.5^2=hypotenuse^2
14...I need them points so I’m answering
Answer:
m=0.25
Step-by-step explanation:
m = (y_2-y_1)/ (x_2-x_1)
Let's get 2 of any coordinates in the graph, for example: (4,2) and (0,1)
m = (1-2)/(0-4) = 1/4 or 0.25
Answer:
D
Step-by-step explanation:
Given the 2 equations
y = x - 5 → (1)
y = x² - 5x + 3 → (2)
Substitute y = x² - 5x + 3 into (1)
x² - 5x + 3 = x - 5 ← subtract x - 5 from both sides
x² - 6x + 8 = 0 ← in standard form
(x - 2)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 4 = 0 ⇒ x = 4
Substitute each of these values into (1) for corresponding values of y
x = 2 → y = 2 - 5 = - 3 ⇒ (2, - 3 )
x = 4 → y = 4 - 5 = - 1 ⇒ (4, - 1 )