A box is known to hold exactly 125 in3. Which side dimensions produce the most accurate measurement of the box?

Mathematics

2 answers:

anygoal [31]2 years ago

7 0

Answer:

A.4.9 x 5.1 x 5.0

Step-by-step explanation:

Harman [31]2 years ago

5 0

D is the answer most likely

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This is my question

Talja [164]

Answer/Step-by-step explanation:

∆ABC is similar to ∆CDE. Therefore, the ratio of their corresponding sides are proportional.

This,

$\frac{DE}{AB} = \frac{DC}{AC}$

$\frac{4}{3} = \frac{x + 3}{x + 1}$

Solve for x

$4(x + 1) = 3(x + 3)$

$4x + 4 = 3x + 9$

$4x + 4 - 4 = 3x + 9 - 4$

$4x = 3x + 5$

$4x - 3x = 3x + 5 - 3x$

$x = 5$

Use the value of x to find AC and DC

$AC = x + 1 = 5 + 1 = 6$

$DC = x + 3 = 5 + 3 = 8$

4 0

2 years ago

PLEASE HELP!!!

Sholpan [36]

P=12T

Q=66T

-----------

Toys added to each bag:

P=12T+nT

Q=66T+nT

Therefore, 66T+nT=3(12T+nT)

------------

66T+nT=36T+3nT

T(66+n)=T(36+3n)

66+n=36+3n

3n-n=66-36

2n=30

Therefore, n=30/2=15

-------------

*She added 15 toys to each bag.

6 0

3 years ago

Is (2,3) a solution to the system of inequalities 4x+3y<20 <br> 10x+y>10

stiks02 [169]

Yes it is a solution because if you take the equation and plug the point in for the x and y :

4 (2) + 3 (3) < 20
8 + 9 < 20
17 < 20
which is true

10 (2) + (3) > 10
20 + 3> 10
23>10
which is also true

7 0

2 years ago

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A student simplified the radical expression at the right. What mistake did the student make? What is the correct answer?

Leni [432]