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WARRIOR [948]
2 years ago
6

Help please! I’m stuck on this one and idk what to do first!

Mathematics
2 answers:
Elena L [17]2 years ago
6 0
By pythagorean theorem
H^2=P^2+B^2
And,B^2=H^2-P^2
B^2=26^2-24^2
B^2=676-576
B^2=100
Therefore,B=root100
B=10 miles
DaniilM [7]2 years ago
3 0

Answer:

10 miles

Step-by-step explanation:

This is a right triangle. This is know because of the little square in the corner that indicates a right angle. Therefore, the Pythagorean Theorem can be used.

a^2+b^2=c^2

where a and b are the legs and c is the hypotenuse.

In this triangle, 24 and x are the legs, because they form the right angle. 26 is the hypotenuse because it is opposite the right angle.

x^2+24^2=26^2

Evaluate the exponents

x^2+576=676

Now, solve for x. First, move 576 to the other side of the equation by subtracting 576 from both sides.

x^2+576-576=676-576

x^2=100

Now, x is being squared. Take the square root of both sides.

√x^2=√100

x=√100

x=10

Use appropriate units

x=10 miles

The missing side length is 10 miles.

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So, since averages are defined as:

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So, since P are the total number of elements and P_k is the P_kth student. This is saying if we sum over each student's score and divide it by the number of students, we should get P, which is true.

So, using that logic, the other class can be represented as:

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We can take both of these equations and multiply them by N:

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So, if we want to find the average of this we should add both our equations then divide by P+N, which is the number of all the students.

\frac{\sum_{k=1}^{P} P_k+\sum_{k=1}^{N}N_k}{N+P}=\frac{70P+92N}{N+P}

To make this simpler we can replace our LHS with 86, since that's the average of both classes combined.

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Step-by-step explanation:

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