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n200080 [17]
3 years ago
7

Determine the length of the missing side in each of the right triangles below using the Pythagorean Theorem: a2 + b2 = c2.

Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0
The answer is 12
{13}^{2}  =  {5}^{2}  +  {b}^{2}  \\  {b}^{2}  =  {13}^{2}  -  {5}^{2}  \\ b {}^{2}  = 169 - 25 = 144
b =  \sqrt{144}  = 12


good luck
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Need help!!!!!!!!!!!!!
xeze [42]

Answer:

m = $14/day

w = $6/day

Step-by-step explanation:

See attached image.

7 0
2 years ago
A nutrition laboratory wants to construct a 95% confidence interval for the mean sodium content of "reduced sodium" hot dogs. A
tatuchka [14]

Answer:

n > 96

Therefore, the number of samples should be more than 96 for the width of their confidence interval to be no more than 10mg

Step-by-step explanation:

Given;

Standard deviation r= 25mg

Width of confidence interval w= 10mg

Confidence interval of 95%

Margin of error E = w/2 = 10mg/2 = 5mg

Z at 95% = 1.96

Margin of error E = Z(r/√n)

n = (Z×r/E)^2

n = (1.96 × 25/5)^2

n = (9.8)^2

n = 96.04

n > 96

Therefore, the number of samples should be more than 96 for the width of their confidence interval to be no more than 10mg

6 0
3 years ago
How do you solve this?
nalin [4]
So u have to add all the sides up.
which will give you 6 + 6√3 + 6 +6√3
because their opposite and parallel lengths and widths are equal
that gives you 12 + 12√3
so ans is 12m + 12√3m
7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B3%20%2B%2011i%7D%20" id="TexFormula1" title=" \frac{6}{3 + 11i} " alt=" \f
Lorico [155]

(3+11i)/(3+11i)=1

So that means you can multiply 6/(3+11i) by (3+11i)/(3+11i)

Then 6(3+11i)/1

= 18+66i

7 0
2 years ago
A right triangle has a side length of 12 m and a side length of 15 m. Find the length of the missing hypotenuse. Rounded to the
kolezko [41]

Answer:

19.2

Step-by-step explanation:

12 squared + 15 squared= C squared

144 + 225 = C squared

369 = C squared

Do square root of 369, which is

19.2

7 0
2 years ago
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