Answer:
Step-by-step explanation:
|13-6| < x < |13+6|
So the range will be:
7 < x < 19
Answer:
The answer to your question is 55 ft
Step-by-step explanation:
Data
Person's height = 5 ft
Person's shadow = 10 ft
Tree's height = ?
Tree's shadow = 110 ft
- Use the Thales' theorem to solve this problem
Person's height / Person's shadow = Tree's height / Tree's shadow
- Substitution
5 / 10 = x / 110
-Solve for x
x = 5 (110) / 10
-Simplification
x = 550 / 10
-Result
x = 55 ft
-Conclusion
The tree is 55 ft height
To solve this, we work out the volume of the two shapes (the cuboid and the pyramid) and then add them together.
We get the volume of the cuboid by multiplying the base by the width by the length:
Volume of cuboid = 6 x 6 x 4
= 144m³
Now to get the volume of the pyramid, we multiply the base by the length by the height, and then we divide by three.
Volume of pyramid = 6 x 6 x 8 ÷ 3
= 96m³
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Answer:
Now that we know the two volumes, we simply add them together:
144 + 96 = 240m³
So the volume of the composite sold is 240m³
Answer:
Step-by-step explanation:
so the question lets us know 3 things:
1) Sarah has a 27 ft pipe
2) she cuts 6 ft off
3) she cuts remaining pipe into 7 equal sections
what we don't know from the question is how big each of those 7 sections were. To form the equation we do this.
Since we know Sarah has 27 ft of pipe that would be our answer of the equation.
Sarah also removed 6 ft and the rest of the pipe she cut up into 7 small sections of equal length. since we don't know the length of the 7 smaller sections we will use the variable X to represent the length. this means that 6ft + 7x (X is the length of the pipes, and we multiply by 7 since there are 7 of them) must equal Sarah's total length of 27ft, therefore meaning our education would be
to solve for how long each pipe was, we need to solve for X by rearranging the equation as shown bellow.
