Mathematics, 02.11.2019 17:31 jetblackcap

Choose yes or no to tell if the digit in the hundreds place is 1/10 the value of the digit in the thousand place. 8,556 , 6,855 , 5,568, 5,656.

Answers: 2

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Answer from: leahphi

Answer and Explanation:

Solution :

According to place value system,

Thousand Hundred Tens Ones

1) Number 8556

Thousand value of number = 8000

Hundred value of number = 500

[/tex]8000\times \frac{1}{10}=800 [/tex]

No, the digit in the hundreds place is not $\frac{1}{10}$ the value of the digit in the thousand place.

2) Number 6855

Thousand value of number = 6000

Hundred value of number = 800

$6000\times \frac{1}{10}=600$

No, the digit in the hundreds place is not $\frac{1}{10}$ the value of the digit in the thousand place.

3) Number 5568

Thousand value of number = 5000

Hundred value of number = 500

$5000\times \frac{1}{10}=500$

Yes, the digit in the hundreds place is $\frac{1}{10}$ the value of the digit in the thousand place.

4) Number 5656

Thousand value of number = 5000

Hundred value of number = 600

$5000\times \frac{1}{10}=500$

No, the digit in the hundreds place is not $\frac{1}{10}$ the value of the digit in the thousand place.

Therefore, Option 3 is correct.

Answer from: Quest

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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step-by-step explanation:

Answer from: Quest

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

$ab^2+ac^2=bc^2$

$ab^2+ac^2=x^2$ )

triangle abd and cba are similar,

$\frac{ab}{bc}=\frac{bd}{ab}$

$ab^2=bc\cdot bd$

$25=bc\cdot bd$ (2)

triangle cad and cba are similar,

$\frac{ac}{bc}=\frac{cd}{ac}$

$ac^2=bc\cdot dc$

$7\times 7=bc\cdot dc$

$49=bc\cdot dc$ )

using (1), (2) and (3), we get

$25+49=x^2$

$74=x^2$

hence proved.

therefore option 2 is correct.

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