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Maslowich
3 years ago
12

Based on your knowledge of right triangles and the Pythagorean Theorem, which statement is correct?

Mathematics
2 answers:
snow_lady [41]3 years ago
5 0

The answer is "The empty square has a side length of 10 and an area of 100 square units"

Rudik [331]3 years ago
5 0

Answer:

The 3rd Answer: The empty square has a side length of 10 and an area of 100 square units.

Step-by-step explanation:

The pythagorean theorem states that for any right triangle ith legs a and b and a hypotenuse of c that: a^{2} +b^{2}=c^{2} therefore:

In the given right triangle if we apply this  and see that 6^{2}+8^{2}=10^{2}\\  meaning that the missing side must be 10. Because of this and the fact that the area of a square is A=s^{2} then A=100 and it is obvious that: The empty square has a side length of 10 and an area of 100 square units.

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True or False. The Electromagnetic Spectrum can be described in terms of wave energy, frequency, and wavelength.
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True, because energy, frequency, and wavelength are all properties of sound, and sound is an electromagnetic wave. The electromagnetic spectrum encompasses a continuous range of frequencies or wavelengths of electromagnetic radiation, ranging from long wavelength, low energy radio waves to short wavelength, high frequency, high energy gamma rays. 
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3 years ago
How to find The point midway
Vadim26 [7]

Step-by-step explanation:

The Midpoint Formula works exactly the same way. If you need to find the point that is exactly halfway between two given points, just average the x-values and the y-values.

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3 years ago
Read 2 more answers
For every quarter he spends, Reggie receives 50 food pebbles to feed the fish. Reggie has thrown 350 food pebbles into the fish
deff fn [24]

Answer:

7 quarters are spent for throwing 350 food pebbles in pond.

Step-by-step explanation:

Given:

Reggie receives 50 food pebbles for every quarter he spends.

Number of food pebbles he has = 350

Let the number of quarters spent for 350 pebbles be 'x'.

Now, using proportion and cross multiplication method, we can find 'x'.

<u><em>1 quarter is equivalent to 50 pebbles thrown in pond.</em></u>

<u><em>So, 'x' quarters is equivalent to 350 pebbles thrown in pond.</em></u>

\frac{1}{50}=\frac{x}{350}\\\\Cross\ multiplying\\\\50x=350\\\\x=\frac{350}{50}\\\\x=7

So, 7 quarters are spent for throwing 350 food pebbles in pond.

6 0
3 years ago
Approximately 14 percent of the population of Arizona is 65 years or older. A random sample of five persons from this population
Andreas93 [3]

Answer:

A)0.8533

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are 65 or older, or they are not. The probability of a person being 65 or older is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

14 percent of the population of Arizona is 65 years or older.

This means that p = 0.14

A random sample of five persons from this population is taken.

This means that n = 5

The probability that less than 2 of the 5 are 65 years or older is :

P(X < 2) = P(X = 0) + P(X = 1)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{5,0}.(0.14)^{0}.(0.86)^{5} = 0.4704

P(X = 1) = C_{5,1}.(0.14)^{1}.(0.86)^{4} = 0.3829

P(X < 2) = P(X = 0) + P(X = 1) = 0.4704 + 0.3829 = 0.8533

So the correct answer is:

A)0.8533

3 0
3 years ago
What is the equation of the line through (3,-1), (4,7)
jasenka [17]

Answer:

The answer is y = 8x - 25

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