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Pavel [41]
4 years ago
6

A tower casts a shadow 11 feet long. The distance from the top of the tower to the end of the shadow is 61 feet. How many feet t

all is the tower?
Mathematics
1 answer:
Doss [256]4 years ago
6 0
If you draw out the diagram, you should have a right triangle, where the height of the triangle is how tall the tower is ( x ), the base is the length of the shadow (11), and the distance from the top of the tower to the end of the shadow is the hypotenuse (61). 

the pythagoreon theorem states that for any right triangle:
a² + b² = c² 

a is side 1, b is side 2, and c is the hypotenuse. 
Knowing this, we can plug in the values 11 and 61. 

11² + b² = 61²
121 + b² = 3721
b² = 3600
b = 60 

The tower is 60 feet tall. 
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EXPLANATION:

Given;

We are given that in a class there are the following groups of students;

\begin{gathered} Green\text{ }eyes=6 \\ Blue\text{ }eyes=5 \\ Hazel\text{ }eyes=9 \end{gathered}

Required;

We are required to calculate the probability that a student selected at random will have Green eyes OR Blue eyes.

Step-by-step solution;

To calculate the probability of an event, we shall use the following formula;

P[Event]=\frac{Number\text{ }of\text{ }required\text{ }outcomes}{Number\text{ }of\text{ }all\text{ }possible\text{ }outcomes}

To calculate the probability that a selected student will have green eyes;

P[green]=\frac{6}{20}=\frac{3}{10}

To calculate the probability that a selected student will have blue eyes;

P[blue]=\frac{5}{20}=\frac{1}{4}

The probability of event A or event B will be the addition of probabilities.

Therefore, the probability that a randomly selected student will have green or blue eyes will be;

P[G]+P[B]=\frac{3}{10}+\frac{1}{4}P[F]+P[B]=\frac{6}{20}+\frac{5}{20}=\frac{11}{20}

Therefore,

ANSWER:

P[G\text{ }orB]=\frac{11}{20}

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The computation of the rate of the return is shown below:

Data provided in the question

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