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ivolga24 [154]
4 years ago
12

Use the Pythagorean theorem to find b. b, 13, 12 b =

Mathematics
2 answers:
Nana76 [90]4 years ago
4 0

\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{13}\\ a=\stackrel{adjacent}{12}\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{13^2-12^2}=b\implies \sqrt{25}=b\implies 5=b

liubo4ka [24]4 years ago
4 0

Answer:

5

Step-by-step explanation:

a^2 + b^2 = c^2

13 is the hypotenuse because it is the longest side.

12^2 + b^2 = 13^2

144 + b^2 = 169

subtract the 144 from both sides to isolate the variable you are solving for

b^2 = 25

Square root both sides to solve

b = 5

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PLEASE HELP!
Cloud [144]
The short answer is trial and error.  The side lengths "3" and "4" can both be substituted for a² and b² but not c² because their value squared is not high enough since 5² is 25. "c²" as to match the longest side because the smaller numbers will cause the equation to not be true. See Below. 

a² + b² = c²
3² + 4² = 5²
9 + 16 =  25
25 = 25
______________________________

a² + b² = c²
4² + 3² = 5²
16 + 9 = 25
25 = 25
______________________________

a² + b² = c²
5² + 4² = 3²
25 + 16 = 9
41 ≠ 9

______________________________

a² + b² = c²
3² + 5² = 4²
9 + 25 = 16
34 ≠ 16

Hope this helped!
7 0
3 years ago
The probability that z is greater than -1.8
Lerok [7]

Answer:

0.964

Step-by-step explanation:

It's easier to approach this problem if you find the prob. that z is less than -1.8 and then subtract your result from 1.00.

The prob. that z is less than -1.8 can be found using any calculator with probability and statistic functions.

The prob. that z is less than -1.8 = normcdf(-100,-8) = 0.036.  Here "cdf" stands for "cumulative probability density function)," -100 is far to the left of z = -1.8, and the result (0.036) is the area under the standard normal probability density curve to the left of z = -1.8.

Finally, subtract this 0.036 from 1.000, obtaining 0.964.  This is the probability that z is greater than -1.8.

7 0
3 years ago
If you want to graph the relationship to compare the unit prices, what should the x- and y-axes represent?
Rashid [163]

Answer:

The x-axis should be the units and the y-axis should be the prices.

Step-by-step explanation:

IF you guys have time, this is my explanation:

In a graph, we always think of "rise over run" or "y over x." Another way to write this is "y PER x." For example, 90 percent is "90 per 100," which can also be written as, "90 OVER 100." So, do we have price per unit or unit per price?

The answer would be, "unit per price." This is because the question asks to compare the unit prices, not the price units. Think unit price = unit PER price. Price unit = price PER unit. So the question asks, "For every unit, what will the price be?"

Therefore, units is x and prices are y because we are trying to compare price per unit, which we now know is y PER x.

7 0
3 years ago
Read 2 more answers
Which of the following statements are true regarding functions?
stich3 [128]

Answer: D and A

Step-by-step explanation:

Just took the apex quiz and it’s right

3 0
3 years ago
Siimplify by combining like terms 5x+3+x+4
Murrr4er [49]

Answer:

6x+7

Step-by-step explanation:

5x+x+3+4

=6x+7

8 0
3 years ago
Read 2 more answers
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