Answer:
Volume = 0.1696 L
The formula is Area of base of refraction cup × Depth of the refraction cup
Step-by-step explanation:
The dimensions of a refraction cup are;
Diameter = 120 mm
Depth = 30 mm
Therefore, volume of the refraction cup = Area of base × Depth
Volume of the refraction cup = (π×120²/4)/2 × 30 = 169646.003 mm³
1 L = 1000000 mm³
Therefore, 169646.003 mm³ = 169646.003/1000000 m³ = 0.1696 L
The formula is Area of base of refraction cup × Depth of the refraction cup.
Convert to base 12:
1 9/12+4 7/12
Then, add!:
5 16/12=6 4/12 =6 1/3
The answer is 6 1/3.
Answer:
x=2.5 or x=-4
Step-by-step explanation:
factorisation= factors:1, 2, 4, 5, 10, 20 (only the positive factors)
We will use the factors 4 and 5.
=(2x-5)(x+4)=0
2x-5=0 || x+4=0
2x=+5 || x=-4
x=2.5 or x=-4
Your question does not say what were your options, therefore I will answer generically: in order to understand if a point (ordered pair) is contained in a line, you need to substitute the x-component of the pair in the equation of the line and see if the calculations give you the y-component of the pair.
Example:
Your line is <span> y = 4/3x + 1/3
Let's see if <span>(0, 0) and (2, 3) </span>belong to this line
y</span> = <span>4/3·0 + 1/3 = 1/3 </span>≠ 0
Therefore, the line does not contain (0, 0)
y = 4/3·2 + 1/3 = 9/3 = 3
Therefore, the line contains (2, 3)
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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