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2 years ago

Round the following number to four significant figures: 3.682417 *

Mathematics

1 answer:

Dovator [93]2 years ago

7 0

Answer:

3.682

Step-by-step explanation:

We don't consider the decimal place or I should say comma so then we read from the first digit as long as it's not zero then until the fourth digit we look at the next digit if it's 5 or greater then we add 1 to the previous digit. And if the next digit is less than 5 then the digit won't change

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In order to solve the following system of equations by addition, which of the

Pavlova-9 [17]

Answer:

Multiply the top equation by -3 and the bottom equation by 2

Step-by-step explanation:

Given system of equations:

$\begin{cases}4x-2y=7\\3x-3y=15 \end{cases}$

To solve the given system of equations by addition, make one of the variables in both equations sum to zero. To do this, the chosen variable must have the same coefficient, but it should be negative in one equation and positive in the other, so that when the two equations are added together, the variable is eliminated.

To eliminate the variable y:

Multiply the top equation by -3 to make the coefficient of the y variable 6:

$\implies -3(4x-2y=7) \implies -12x+6y=-21$

Multiply the bottom equation by 2 to make the coefficient of the y variable -6:

$\implies 2(3x-3y=15) \implies 6x-6y=30$

Add the two equations together to eliminate y:

$\begin{array}{l r r}& -12x+6y= &-21\\+ & 6x-6y= & 30\\\cline{1-3}& -6x\phantom{))))))} = & 9\end{array}$

Solve for x:

$\implies -6x=9$

$\implies x=-\dfrac{9}{6}=-\dfrac{3}{2}$

Substitute the found value of x into one of the equations and solve for y:

$\implies 3\left(-\dfrac{3}{2}\right)-3y=15$

$\implies -\dfrac{9}{2}-3y=15$

$\implies -3y=\dfrac{39}{2}$

$\implies y=-\dfrac{39}{2 \cdot 3}$

$\implies y=-\dfrac{13}{2}$

Learn more about systems of equations here:

brainly.com/question/27868564

brainly.com/question/27520807

3 0

2 years ago

Read 2 more answers

in 2001 the average yearly wage was 21842 on average people spent £1644 on their family holiday what percentage of the average y

Vinil7 [7]

The percentage of the average yearly wage is 7.53%.

<h3>What are percentages?</h3>

Percentage can be described as a fraction of an amount that is usually expressed as a number out of hundred.

<h3>What is the percentage of the average yearly wage?</h3>

Percent = (amount spent on family holiday / total yearly wage) x 100

(1644 / 21842) x 100 = 7.53%

To learn more about percentages, please check: brainly.com/question/25764815

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2 years ago

If the legs of a right triangle are 4 and 7, the length of the hypotenuse is

Lisa [10]

Answer:

Hipotanous is rootunder 65

7 0

3 years ago

Read 2 more answers

lorasvet [3.4K]

Answer:

I think -10 is the answer

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2 years ago

The length of the shadow on flat ground of a man who is 6 feet tall and is standing up straight is 8 feet. The distance between

WARRIOR [948]

The answer is 10 ft. make a triangle 6ft tall, 8ft long (90 degrees to the other line) and draw a line to complete the triangle. This is a type of 3,4,5 triangle, a 6,8,10. The other way to do it is sqrt(6^2+8^2) = sqrt(36+64) = sqrt (100) = 10.

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3 years ago