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Alex777 [14]
3 years ago
12

Which of the following best describes the term induction?

Mathematics
1 answer:
tatiyna3 years ago
7 0

Answer:

C. Starting with a given set of rules and figuring out what must be  true . TRUE

Step by step explanation:

Mathematical Induction

Mathematical Induction is a mathematical technique which we can use to prove any given mathematical statement, result, theorem or corollary with help of induction.

Here, we assume the statement to be true for a smaller natural number            (Usually 1) and then prove the statement to be true for ANY ARBITRARY NUMBER say k.

Now, from the given options:

A. Writing down the steps to solve a complicated math problem .

FALSE as the induction method is based on ASSUMPTION and INDUCTION.

B. Forming rules based upon observations and experiences .

FALSE as the induction method is based on ASSUMPTION and INDUCTION.  We need to induce the needed  statement or Result.

C. Starting with a given set of rules and figuring out what must be  true .

TRUE as the induction method is based on ASSUMPTION and INDUCTION.

We try and find out  the result with the given existing data.

D. Reducing the solution to a problem in lowest terms.

FALSE as the induction method is based on ASSUMPTION and INDUCTION.  

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7 + 4 + -8 + -7 + -5 + 2=?<br><br> Is the answer -7?
balandron [24]

Answer:

Yes

Step-by-step explanation:

4 0
3 years ago
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Each guest at casandras party had 3 turns to act out worlds during a game. They began with a list of 50 words. When they finishe
Veronika [31]

Answer:

16 fits but not evenly

Step-by-step explanation:

16 times 3 equals 48 and 17 times 3 equal is 51 so someone didnt go 3 times.

7 0
3 years ago
What is the slope of the line that passes through the points ( −8,−1) and (-12,-2)
omeli [17]

Answer:

1/4

Step-by-step explanation:

We can find the slope of a line given two points from the formula

m = (y2-y1)/(x2-x1)

   = (-2--1)/(-12--8)

   = (-2+1)/(-12+8)

    =-1/-4

   = 1/4

6 0
3 years ago
Precal : Note: Triangle may not be drawn to scale. Suppose a = 3 and A = 15 degrees
drek231 [11]

Given:

In a right triangle at B,

\begin{gathered} a=3 \\ A=15^{\circ} \end{gathered}

To find:

The length of the sides b and c and angle B.

Explanation:

Using the trigonometric ratio,

\begin{gathered} sinA=\frac{a}{c} \\ \sin15^{\circ}=\frac{3}{c} \\ c=\frac{3}{\sin15^{\circ}} \\ c=11.59 \\ c\approx11.6 \end{gathered}

Using the trigonometric ratio,

\begin{gathered} \tan A=\frac{a}{b} \\ \tan15^{\circ}=\frac{3}{b} \\ b=\frac{3}{\tan15^{\circ}} \\ b=11.19 \\ b\approx11.2 \end{gathered}

Using the angle sum property,

The angle B becomes,

\begin{gathered} 90+15+B=180 \\ B=180-90-15 \\ B=75^{\circ} \end{gathered}

Final answer:

The values are,

\begin{gathered} b=11.2 \\ c=11.6 \\ B=75^{\circ} \end{gathered}

3 0
1 year ago
What is the measure of an angle if it is 70 less than three times its own complement?
anzhelika [568]
Let the angle be x.

Hence, its complement is 90 - x.

x = 3* (90 - x) - 70 = 270 - 3x - 70 = 200 - 3x

4x = 200

x = 50

Thus, the angle is 50°.
4 0
3 years ago
Read 2 more answers
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