The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.
<h3>What is a right rectangular prism?</h3>
A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.
it is also called the cuboid.
Analysis:
The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.
Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.
= 
+ 
= 
+ 
= 196 + 169 = 365
= 365
diagonal = 
= 19.1cm
In conclusion, the length of the longest diameter is 19.1cm
Learn more about Right rectangular prism: brainly.com/question/3317747
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Answer:
C
Step-by-step explanation:
1 kilogram of baking soda costs $4.5
Step-by-step explanation:
To solve this problem, we will follow the steps bellow:
Using proportion;
Let x be the cost of 1 kg of baking soda
kilogram = $ 2
1 kilogram = x
Cross - multiply
× x = $2 × 1
× x = $2
= $2
Multiply both-side of the equation by 9
× 9= $2 × 9
At the left-hand side of the equation 9 will cancel-out 9, hence our equation becomes
4x = $18
Divide both-side of the equation by 4
= $
x = $4.5
1 kilogram of baking soda costs $4.5
Step-by-step explanation:
Answer: w = 12
Step-by-step explanation: In this problem, we want to get <em>w</em> by itself on one side of the equation. Since we have <em>14 + W</em>, in order to get <em>w</em> by itself, we must subtract 14 from the left side of the equation.
If we subtract 14 from the left side of the equation, we must also subtract 14 from the right side of the equation. So on the left, +14 and -14 cancel each other and on the right, 26 - 14 simplifies to 12 so <em>w = 12</em>.
To check our answer, we substitute a 12 back in for <em>w </em>in the original equation and we have 14 + (12) = 26 or 26 = 26 which is a true statement so the answer checks.
Answer:
f(x) = 8 + 0.25x
Step-by-step explanation:
The minimum cost is $8, for up to 4 pounds.
The added cost is ($0.25/oz)(x), where x is trhe ounces over 4 pounds
The total cost is the sum of these two:
f(x) = 8 + 0.25x
