To evaluate the given expression, we must follow the rules of PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction) in solving.
Therefore, first calculate what's inside the parentheses:
(1619.2) / (8194.23)
Then perform the operation in between the parentheses:
<span>(1619.2) / (8194.23) = 0.20
</span>
Therefore the answer after evaluating the expression is 0.20.
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By finding the scale factor, we will see that the volume of the smaller solid is 86.75 m³.
<h3>
How to get the volume of the smaller solid?</h3>
If the solids are similar, then there is a scale factor between the two. Then the relation between the areas is equal to the scale factor squared, and the relation between the volumes is equal to the scale factor cubed.
This means that if the areas are 169 m² and 81 m², then we can write:
169 m² = (k²)*81 m²
Solving for k, we get:
k = √(169 m²/81 m²) = 1.44
Then if the volume of the large solid is 124.92m³ we can write:
124.92m³ = k³*V
Replacing k and solving for V we get:
124.92m³ = (1.44)³*V
(124.92m³/ (1.44)³) = V = 86.75 m³
If you want to learn more about scale factors:
brainly.com/question/3457976
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Answer:
-8 feet
Step-by-step explanation:
63 - 71 = -8
Line A: 2x+2y=8 ⇒2y=-2x+8 ⇒ y=-x+4
Line B: x+y=3 ⇒y=-x+3
Therefore: y=y then:
-x+4=-x+3
-x+x=3-4
0≠-1 ⇒There is no solution because the lines are parallels
Answer: There is no solution
