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3 years ago

I need help!!! Brainliest for first (correct) answer!

Mathematics

1 answer:

VMariaS [17]3 years ago

3 0

To do this without a calculator, I would change: 5.2 × 10^(-2) to ... 52×10^(-3)

--> then multiply the whole numbers 52 × 8 = 416

--> next add the exponents on the tens. -3 + -4 = -7

= 416×10^(-7)

* now they'll want you to move the decimal back to behind the first digit. (just standard convention)

= 4.16×10^(-5)

If you have a calculator you can just use the "EE" button for ×10^power typed in it looks like this :

5.2 EE -2 × 8 EE -4 =

then make sure your calculator is in scientific mode, otherwise you'll be counting decimal spaces

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Is number square root of 2,500 rational or irrational

ddd [48]

Rational

$\sqrt{2500 } = 50$

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3 years ago

What is 7 and one fifth divided by 8? Plz help

USPshnik [31]

$7 \frac{1}{5} \div 8$ = 4/5

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3 years ago

If sinA=√3-1/2√2,then prove that cos2A=√3/2 prove that

Ivan

Answer:

$\boxed{\sf cos2A =\dfrac{\sqrt3}{2}}$

Step-by-step explanation:

Here we are given that the value of sinA is √3-1/2√2 , and we need to prove that the value of cos2A is √3/2 .

Given :-

• $\sf\implies sinA =\dfrac{\sqrt3-1}{2\sqrt2}$

To Prove :-

• $\sf\implies cos2A =\dfrac{\sqrt3}{2}$

Proof :-

We know that ,

$\sf\implies cos2A = 1 - 2sin^2A$

Therefore , here substituting the value of sinA , we have ,

$\sf\implies cos2A = 1 - 2\bigg( \dfrac{\sqrt3-1}{2\sqrt2}\bigg)^2$

Simplify the whole square ,

$\sf\implies cos2A = 1 -2\times \dfrac{ 3 +1-2\sqrt3}{8}$

Add the numbers in numerator ,

$\sf\implies cos2A = 1-2\times \dfrac{4-2\sqrt3}{8}$

Multiply it by 2 ,

$\sf\implies cos2A = 1 - \dfrac{ 4-2\sqrt3}{4}$

Take out 2 common from the numerator ,

$\sf\implies cos2A = 1-\dfrac{2(2-\sqrt3)}{4}$

Simplify ,

$\sf\implies cos2A = 1 -\dfrac{ 2-\sqrt3}{2}$

Subtract the numbers ,

$\sf\implies cos2A = \dfrac{ 2-2+\sqrt3}{2}$

Simplify,

$\sf\implies \boxed{\pink{\sf cos2A =\dfrac{\sqrt3}{2}} }$

Hence Proved !

8 0

3 years ago

9) Twenty-seven (27) months is months less than 3 years. Termain Fonhniene

azamat

Answer:

Decimal answer: 0.75 months. Fraction answer: 3/4

Step-by-step explanation: You have to make the 27 months into years, which is 2.25 years. Then subtract 2.25 from 3 and it equals 0.75.

4 0

2 years ago

Which set of equations would have infinitely many solutions? JUSTIFY your answer in #4.

Ierofanga [76]

Answer:

2nd option: 2y=6x+8 and y=3x+4

Step-by-step explanation:

If you divide the first by 2, you get the second equation.

This means that both equations plot an identical line (they lie on top of each other /also known as "coincide"). This means, that there are infinitely many solutions.

In 2D (x-y plane for example), straight lines can have no solutions if they have the same gradient/slope/ they are parallel and different y-intercepts, because they will never cross.

Here, they have same gradient and y-intercept so all points on the line are valid solutions to the equation

7 0

2 years ago