All categories

3 years ago

3.6792mm+2×10

+ .0133mm" alt="36792mm + .2mm + .0133mm" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

8 0

Answer:

36792.2133

Step-by-step explanation:

36792+0.2+0.0133=36792.2133

You might be interested in

2(x+3) + 9 - 5 = 32<br><br> Solve for x.

Setler79 [48]

X = 11

Is really simple

7 0

3 years ago

Read 2 more answers

Prove that 1³+2³+....n³=n²(n+1)²/4. principle of mathematics induction

alex41 [277]

<h3>The Simplified Question:-</h3>

$\sf 1^3+2^3\dots n^3=\dfrac{n^2(n+1)^2}{2}$

$\\ \sf\longmapsto 1^3+2^3+\dots n^3=\left(\dfrac{n(n+1)}{2}\right)^2$

<h3>Solution:-</h3>

Let

$\\ \sf\longmapsto P(n)=1^3+2^3\dots n^3=\left(\dfrac{n(n+1)}{2}\right)^2$

For n=1

$\\ \sf\longmapsto P(1)=\left(\dfrac{1(1+1)}{2}\right)^2$

$\\ \sf\longmapsto P(1)=\left(\dfrac{1(2)}{2}\right)^2$

$\\ \sf\longmapsto P(1)=\left(\dfrac{2}{2}\right)^2$

$\\ \sf\longmapsto P(1)=(1)^2$

$\\ \bf\longmapsto P(1)=1=1^3$

Let k be any positive integer.

$\\ \sf\longmapsto P(k)= 1^3+2^3\dots k^3=\left(\dfrac{k(k+1)}{2}\right)^2$

We have to prove that p(k+1) is true.

consider

$\sf 1^3+2^3\dots k^3+(k+1)^3$

$\\ \sf\longmapsto \left(\dfrac{k(k+1)}{2}\right)^2+(k+1)^3$

$\\ \sf\longmapsto \dfrac{k^2(k+1)^2}{4}+(k+1)^3$

$\\ \sf\longmapsto \dfrac{k^2(k+1)^2+4(k+1)^3}{4}$

$\\ \sf\longmapsto \dfrac{k+1)^2\left\{k^2+4k+4\right\}}{4}$

$\\ \sf\longmapsto \dfrac{(k+1)^2(k+2)^2}{4}$

$\\ \sf\longmapsto \dfrac{(k+1)^2(k+1+1)^2}{4}$

$\\ \sf\longmapsto \left(\dfrac{(k+1)(k+1+1)}{2}\right)^2$

$\\ \sf\longmapsto (1^3+2^3+3^3\dots k^3)+(k+1)^3$

Thus P(k+1) is true whenever P(k) is true.

Hence by the Principal of mathematical induction statement P(n) is true for $\bf n\epsilon N.$

Note:-

We can solve without simplifying the Question .I did it for clear steps and understanding .

<h3>Learn More:-</h3>

brainly.com/question/13253046?

brainly.com/question/13347635?

6 0

3 years ago

Read 2 more answers

Write a congruence statement for the angles and/or sides that are given. State what additional information is required in order

alexgriva [62]

Step-by-step explanation:

Required information to prove the triangles are congruent:

AB=FE

Then you can say they are congruent by SAS

6 0

3 years ago

PLEASE HELP! BEEN WAITING FOR R0 MINS!!! WILL GIVE 20 POINTS!!!!

astraxan [27]

Answer:

the two minus symbols cancel out making it positive 5

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

3ax-n/5=-4 solve for x

ollegr [7]

The solution for x in the equation 3ax - n/5 = -4 is x = -4/3a + n/15a.

<h3>What is the solution for x in the given equation?</h3>

3ax - n/5 = -4

To solve for x, isolate the term that contains x.

3ax - n/5 = -4

3ax = -4 + n/5

Divide each term by the coefficient of x and simplify

3ax/3a = -4/3a + (n/5)/3a

x = -4/3a + (n/5)/3a

multiply (n/5) by the reciprocal of 3a

x = -4/3a + (n/5) × 1/3a

x = -4/3a + n/15a

Therefore, the solution for x in the equation 3ax - n/5 = -4 is x = -4/3a + n/15a.

Learn more about equations here: brainly.com/question/14686792

#SPJ1

4 0

2 years ago