The base of a rectangular box has a width of 3 inches and a length of 4 inches. The box is 12 inches inches tall. a) Draw a picture of the box below b) How far is it from one of the box's top corners to the opposite corner of the base of the box?

Answers

Answer 1
Answer:

Answer:

a) attached the figure.

b) diagonal (d) = 13 inches

Step-by-step explanation:

The given figure is a rectangular box in which the length = 4 inches, width = 3 inches, and height = 12 inches.

a) Draw the figure and attached.

b) To find the diagonal from one of the box's top corners to the opposite corner of the base of the box, we have formula.

Diagonal length from top corner to corner of the base (d) = √(l^2 + w^2 + h^2)

We know that l = 4 , w = 3 and h = 12

Now plug in these values in the above formula, and find the diagonal.

d = √(4^2 + 3^2 + 12^2)

d = √(16 + 9 + 144) = √(169)

d = 13 inches.

Answer 2
Answer: it would be 144 inches

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Max walks 6 laps around the track in 30 minutes. How many laps around the track does Max walk in 1 minute

Answers

Answer:5

Step-by-step explanation:

6:30 is the ration

6/30 reduced is 1/5

1:5

so its 5

Final answer:

Max walks 0.2 laps per minute around the track. This conclusion was reached by dividing the total number of laps (6) by the total number of minutes (30).

Explanation:

The Mathematics problem posed is one concerning rates. It is given that Max walks 6 laps in 30 minutes. We need to find out how many laps would Max be able to walk in 1 minute.

To do this, we divide the total number of laps walked by the total number of minutes. In this case, we would divide 6 laps by 30 minutes.

6 laps ÷ 30 minutes = 0.2 laps per minute

Therefore, Max walks 0.2 laps around the track in 1 minute.

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how could you check the answer to 27-15=12 using addiction a. 27+12=15 b.. 15-12=27. c.12+15=27 d.27+15=12

Answers

You would do 27+12 because your doing inverse operations.

10) 4n^2 - 12n + 9 = 0​

Answers

Answer: n  =  −  3/2

Step-by-step explanation:

4n^2 - 12n + 9 = 0​     Factor using the perfect square rule.

(  2  n  +  3  )^  2  =  0

Set   2  n  +  3   equal to   0   and solve for   n.

n  =  −  3/2

The result can be shown in multiple forms.

Decimal Form:  n  =  −  1.5

Mixed Number Form:  n  =  −  1  1/2

What equals 126 prime factorazation

Answers

126 prime factorization. 

                              126
                               /   \
                             21    6
                             /  \     /\
                            3   7   3  2

126 = 3 * 7 * 3 * 2   



is a composite number. 126 = 1 x 126, 2 x 63, 3 x 42, 6 x 21, 7 x 18, or 9 x 14. Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126. Prime factorization: 126 = 2 x 3 x 3 x 7, which can also be written 2 x (3^2) x 7.
hopes this helps :) :D :)

A 10 foot tree casts a 4.5 foot shadow.At the same time, what size shadow would a 25 foot flagpole cast?

Answers

it will  cast an 11.25 foot shadow.
its 11.2 because 10 fits into 25 2.5 times and then do the math

Which two points on the number line represent numbers that can be combined to make zero?B and D
A and B
C and D
A and C

Answers

Answer:

B and D

Step-by-step explanation:

Answer:

B  \: and \:  D