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Mariana [72]
3 years ago
7

The Pythagorean Theorem is a2 + b2 = c2 a + b = c c² + a²=b²

Mathematics
1 answer:
rewona [7]3 years ago
6 0

Answer:

a² + b² = c²

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

We use the Pythagorean Theorem to help us solve for missing right triangle side lengths. It is wise to remember this formula.

You might be interested in
The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a me
faust18 [17]

Answer:

Almost 2.5% of the students spent more than $275 in a semester.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 235

Standard deviation = 20

According to the standard deviation rule, almost 2.5% of the students spent more than what amount of money on textbooks in a semester?

95% of the measures are within 2 standard deviation of the mean. The other 5% are more than 2 standard deviations of the mean. Since the normal distribution is symmetric, 2.5% of those are below two standard deviations of the mean and 2.5% are more than two standard deviations above the mean.

235 + 2*20 = $275

Almost 2.5% of the students spent more than $275 in a semester.

4 0
3 years ago
Nick was thinking of a number. Nick adds 11, then divides by 6 to get an answer of -7. What was the original number?
mr_godi [17]

Answer:

-53/6

Step-by-step explanation:

x + 11 / 6 = -7

Subtract 11/6 from both sides to isolate x.

x = -53/6

7 0
3 years ago
0.35% fraction simplest form ​
Xelga [282]

Answer:

7/20

Step-by-step explanation:

0.35=35/100=7/20

3 0
3 years ago
Read 2 more answers
Ryan spends 10 1/2 hours at work each day. He has 3/4 hour lunch and receives two 1/4 breaks. How much time does Ryan spend work
patriot [66]

Answer:

9\frac{1}{4}\ hours

Step-by-step explanation:

Let

h-----> the time that Ryan spend working

Remember that

10\frac{1}{2}\ h=\frac{10*2+1}{2}=\frac{21}{2}\ h

we know that

The equation that represent the situation is

\frac{21}{2}=h+\frac{3}{4}+2(\frac{1}{4})

\frac{21}{2}=h+\frac{3}{4}+\frac{2}{4}

\frac{21}{2}=h+\frac{5}{4}

h=\frac{21}{2}-\frac{5}{4}

h=\frac{37}{4}=9.25\ hours

Convert to a mixed number

h=9\frac{1}{4}\ hours

7 0
4 years ago
Solve the system of linear equations 1x-2y=-60 and 5x+6y=20
ss7ja [257]
   
\displaystyle\\
 \left \{ {{1x-2y=-60~~~\Big| \cdot3} \atop {5x+6y=20~~~~~~~~~~}} \right\\\\\\
 \left \{ {{3x-6y=-180} \atop {5x+6y=20~~~~}} \right\\
\text{- - - - - - - - - - - - - -}\\\\
8x ~~~~~~/~~~=-160\\\\
8x=-160\\\\
x= \frac{-160}{8} =\boxed{-20} \\\\
5x+6y=20\\\\
6y = 20 - 5x\\\\
y
 =  \frac{20 - 5x}{6} =  \frac{20 - 5\cdot (-20)}{6}=\frac{20+ 100}{6}=\frac{120}{6}=\boxed{20}



6 0
4 years ago
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