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Alenkasestr [34]
3 years ago
5

The interior angles of a triangle have measures kº, 27°, and 10° What is the value of k?

Mathematics
1 answer:
S_A_V [24]3 years ago
4 0

Answer:

k = 143

Step-by-step explanation:

The sum of the 3 interior angles of a triangle = 180°, thus

k = 180 - (27 + 10) = 180 - 37 = 143

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Which equation can be used to find the surface area of the cylinder?
UNO [17]

Answer:

Step-by-step explanation:

SA= 2*r*r*pi + 2*pi*r*h

   = 2*6*6*3.14 + 2*3.14*6*8

4 0
3 years ago
Using the Babylonian method find √600 ???????????? √235.<br><br> how?
podryga [215]

Answer:

With the Babylonian method \sqrt{600} \approx 24.494897 and \sqrt{235} \approx 15.329709.

Step-by-step explanation:

  • To find the square root of 600, do the following:

1. Make an initial guess:  Because \sqrt{576}=24 and \sqrt{625} =25 you can start with x_{0}=24 as your initial guess.

2. Apply the formula:

x_{1}=\frac{(x_{0}+\frac{x}{x_{0}})}{2} where x=600

x_{1}=\frac{(24+\frac{600}{24})}{2}\\x_{1}=24.5

The number x_{1} is a better approximation to \sqrt{600}

3. Iterate until convergence:

For this apply the formula:

x_{n+1}=\frac{(x_{n}+\frac{x}{x_{n}})}{2}

Convergence is achieved when the digits of x_{n+1} and x_{n} agree to as many decimal places as you desire.

x_{2}=\frac{(x_{1}+\frac{x}{x_{1}})}{2}\\x_{2}=\frac{(24.5+\frac{600}{24.5})}{2}\\x_{2}=24.494897

x_{3}=\frac{(x_{2}+\frac{x}{x_{2}})}{2}\\x_{3}=\frac{(24.494897+\frac{600}{24.494897})}{2}\\x_{3}=24.494897\\

Because x_{2} and x_{3} agree to six decimal places. we can say that an estimate for \sqrt{600} \approx 24.494897.

You can compare with the value that WolframAlpha gives you which is \sqrt{600} \approx 24.49489742 you can see that it agrees to six decimal places.

  • To find the square root of 235, do the following:

1. Make an initial guess:  Because \sqrt{225}=15 and \sqrt{256} =16 you can start with x_{0}=15 as your initial guess.

2. Apply the formula:

x_{1}=\frac{(x_{0}+\frac{x}{x_{0}})}{2} where x=235

x_{1}=\frac{(15+\frac{235}{15})}{2}\\x_{1}=\frac{46}{3}

3. Iterate until convergence:

Apply the formula:

x_{n+1}=\frac{(x_{n}+\frac{x}{x_{n}})}{2}

x_{2}=\frac{(x_{1}+\frac{235}{x_{1}})}{2}\\x_{2}=\frac{(\frac{46}{3}+\frac{235}{\frac{46}{3}})}{2} \\x_{2}=15.329710

x_{3}=\frac{(x_{2}+\frac{235}{x_{2}})}{2}\\x_{3}=\frac{(15.329710+\frac{235}{15.329710})}{2} \\x_{3}=15.329709

x_{4}=\frac{(x_{3}+\frac{235}{x_{3}})}{2}\\x_{4}=\frac{(15.329709+\frac{235}{15.329709})}{2} \\x_{3}=15.329709

Because x_{3} and x_{4} agree to six decimal places. We can say that an estimate for \sqrt{235} \approx 15.329709.

WolframAlpha gives you \sqrt{235} \approx 15.329709716

4 0
4 years ago
ILL GIVE YOU 60 POINTS
Lubov Fominskaja [6]

Answer:

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Step-by-step explanation:

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=−168

Plug the number for the x value and then solve the equation.

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3 years ago
Luke was fishing with his dad and caught a fish that was 2 pounds and 4 ounces. If each pound is equal to 16 ounces, how many ou
stiv31 [10]

Answer:bruh its 34

Step-by-step explanation:

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3 years ago
Find measure of angle NPI
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Exterior Angles Theorem is used.

The exterior angle of a triangle is equal to the 2 opposite interior angles.

Therefore, 65+78=143°, since 65 and 78 are the 2 opposite interior angles.

So, the answer is 143°
4 0
3 years ago
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