Help??A tree struck by lightning broke at a point 12 feet above the ground.
What was the height of the tree to the nearest tenth of a foot?
Explain your reasoning.
Answers
Answer:
height of the tree was 52.8 feet
Step-by-step explanation:
Height of the tree will be determined by adding broken part of the tree, lying on the ground (as the hypotenuse of the triangle) and the remaining part of the stem.
Now we apply Pythagoras theorem in the right angle triangle with the sides as 12 feet and 39 feet
⇒ Hypotenuse² = Base² + Height²
⇒ Hypotenuse² = 12² + 39²
⇒ Hypotenuse² = 144 + 1521 = 1665
⇒ Hypotenuse = √1665
= 40.80 feet
Now height of the tree = 12 + 40.8
= 52.8 feet
Therefore, height of the tree was 52.8 feet
a^2+b^2=c^2
12^2+ 39^2=c^2
144+1521= 1665
√1665
= 40.8
40.8 + 12
= 52.8 feet
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because it should be 99
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The greatest common factor will be 8.
What is common factor? What is a mathematical equation? What is Probability?
- A common factor is a whole number which is a factor of two or more numbers. The highest common factor (HCF) is the greatest factor that will divide into two or more numbers. The lowest common multiple(LCM) is the smallest multiple that is common to two or more numbers.
- A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
- A mathematical equation is used to equate two expressions.
- Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have three numbers 24, 56 and 72.
The factors of 24 are : 1, 2, 3, 4, 6, 8, 12, 24
The factors of 56 are : 1, 2, 4, 7, 8, 14, 28, 56
The factors of 72 are : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Therefore, the greatestcommon factor will be 8.
To solve more questions on HCF and LCM , visit the link below -
#SPJ2
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I don't know if this is what you needed but i hope it helps :)