how do I find the depth to this rectangular prism

How Do I Find The Depth To This Rectangular Prism

Answers

Answer 1
The depth is 1 inch because 4 smaller side lengths make up one inch, and because the overall cube goes back 4 smaller side lengths.

The same applies for the height as well.

Related Questions

What is the associative property

Answers

The associative property is the ability to group certain numbers together in addition/subtraction and multiplication problems because their operations are interchangable. 

Example 1

1 + 2 + 3

We can solve this by first doing 1 + 2 = 3, and then adding 3 + 3 = 6. OR we can start with 2 + 3 = 5, and add 5 + 1 = 6. We can even do, 3 + 1 = 4, then add 4 + 2 = 6. Either way, we end up with the same correct answer. 

Example 2:

1 x 2 x 3

Same thing applies to multiplication. We can start by doing 1 x 2 = 2, and then 2 x 3 = 6. OR we can do 2 x 3 = 6, then 6 x 1 = 6. Just like the one above, we can also do, 3 x 1 = 3, then 3 x 2 = 6. Either way you group them, you get the same answer. 

Example 3:

- 1 - 2 - 3

We can do - 1 - 2 = - 3, then - 3 - 3 = - 6. OR - 1 - 3 = - 4, then - 4 - 2 = - 6. OR - 2 - 3 = - 5, then - 5 - 1 = - 6. Again, same answer, three different ways to group it.

THIS DOES NOT WORK WHEN THE ADDITION/SUBTRACTION and MULTIPLICATION OPERATIONS ARE IN THE SAME PROBLEM

If given 1 + 3 - 7 x 4, you cannot rearrange the components like you can with the associative property. You will end up with drastically different answer when there is only one way to do this. 

Here is an incorrect example of it. 

1 + 3 + 7 x 4
1 + 10 x 4
11 x 4 
44.

That is wrong. The correct way is 

1 + 3 + 7 x 4
1 + 3 + 28

Now because all of the operations match you can use associative property to arrive at the same answer the three different ways. 

4 + 28 = 32. OR 1 + 31 = 32. OR 29 + 3 = 32. See the difference in the answers? 



What type of association would you expect to see between the amount of fog in the sky and the distance that a pilot can see? A) Positive association B) Negative association C) No association D) There is not enough information to tell

Answers

We can make a conclusion that the more fog there is, the less distance the pilot can see. this means that there is a negative association because if this were graphed, the slop would be negative, as the x-axis (amount of fog) increases and the y-axis (distance pilot can see) decreases.
Final answer:

There is a negative association between the amount of fog in the sky and the distance a pilot can see; i.e. the higher the amount of fog, the lower the visibility distance.

Explanation:

The question primarily asks about the association between the amount of fog in the sky and the distance a pilot can see. In general, the greater the fog, the lower the visibility distance for a pilot. Hence, there is a negative association between these two variables. When one variable (amount of fog) increases, the other variable (pilot's visibility distance) decreases.

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a class had 2 3/4 yards of twine. Five students each used 1/8 of a yard.
Estimate the total yarn left.

Answers

5 students used 1/8 each

5 · 1/8 = 5/8

Subtract 5/8 from 2 3/4 to get your answer

First, make it the same denominator: 8

2 3/4 = 2 6/8

2 6/8 - 5/8 = 2 1/8

There is about 2 yarn left. Exact amount left: 2 1/8

Hope this helps :)

The baseball team has a double-header on Saturday. The probability that they will win both games is 18%. The probability that they will win just the first game is 60%, What is the probability that the team will win the 2nd game given that they have already won the first game?

Answers

I got 30%
60% as a decimal is 0.6
18% as a decimal is 0.18
0.6 times 30% or 0.3 is 0.18

Let the event to win the first game is F and to win the second game is S.

This question is from conditional probability and hence we use the below formula.

[tex]P(S/F)=\frac{P(F and S) }{P(F)}[/tex]

Now, we have been given that

[tex]P(F and S)=0.18\\ P(F)=0.60[/tex]

On substituting these given values in the formula, we get

[tex]P(S/F)=\frac{0.18}{0.60} \\ \\ P(S/F)=0.3=30\%[/tex]

Therefore, the probability for winning the second game is 30%

which of the following numbers are between 0.40 and 0.47

Answers

A) 0.14
B) 0.38
C) 0.42
D) 0.86

Answer is C because 0.42 is between 0.40 and 0.47

Hope this helps. - M

The fraction that is between 0.40 and 0.47 is 21/50

In order to determine which of the options are between 0.40 and 0.47, convert the options to decimals.

In order to convert the fractions to decimals, divide the numerator by the denominator

7/50 = 0.14

19 / 50 = 0.38

21 / 50 = 0.42

43 / 50 = 0.86

The fraction that is between the stated numbers is 21/50

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If a = -12/5, then 5x + 2y = 6 and 3x - ay = 4 are parallel.

Answers


5x  +2y =6

Add -2y to both sides

5x=−2y+6

‌Divide both sides by 5

x=‌−2/5‌y +‌ 6/5‌

that into the second equation:


3(‌−2/5‌y+‌6/5‌)+‌12/5‌y =4

simplify

‌6/5‌y+‌18/5‌ =4

Add (-18)/5 to both sides

‌6/5‌y=‌2/5

divide both sides by 6/5

y = 1/3

substitute 1/3 for y in x = -2/5y +6/5 to solve for x

x = -2/5(1/3) +6/5

x = 16/15

so x = 16/15 and y = 1/3
 now replace both x and Y in each of the original equations to check the answers:

5(16/15) +2(1/3) =  5 1/3 + 2/3 = 6  true

3(16/15) - -12/5(1/3) = 4 true
 so they are parallel
 

Lisa arranges six square paintings as shown in the area of the arrangement is 225 cm² what would it cost Lisa to frame her arrangement at a cost of $.12 per centimeter

Answers

Final answer:

To frame Lisa's arrangement of six square paintings, the total cost would be $43.20.

Explanation:

To find the cost of framing Lisa's arrangement, we need to calculate the perimeter of the arrangement and then multiply it by the cost per centimeter. Since the arrangement consists of six square paintings, we can calculate the side length of one square by taking the square root of the total area of 225 cm². The side length of one square is 15 cm, so the perimeter of one square is 4 multiplied by 15 cm, which is 60 cm. Since there are six squares, the total perimeter of the arrangement is 6 multiplied by 60 cm, which is 360 cm. Finally, we multiply the total perimeter by the cost per centimeter of $.12 to find the total cost of framing, which is 360 cm multiplied by $0.12, equaling $43.20.

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maddy was one of the riders in the competition. If one judge awarded maddy a score of 87 and maddy's final score was 84.5 what score did the other judge award maddy answer

Answers

Assuming there are two judges... and 84.5 is the average..
(87+x)/2 = 84.5

x=82

Let [tex] x [/tex] be the score awarded by the other judge.

Maddy's final score is the average of the scores awarded by the 2 judges.

So,

[tex] \frac{87+x}{2} =84.5\\
87+x=169\\
x=82 [/tex]

The score awarded by the second judge is [tex] 82\;points [/tex].

Robert and his coworkers brought 11 work trucks to a service station for oil changes. While there they also put 6 gallons of gas into each vehicle. The cost of gas was $3.52 a gallon. The total bill was $694.32. What was the cost of an oil change for 1 truck?

Answers

Answer:

The cost of an oil change for 1 truck was $42

Step-by-step explanation:

Let

x -----> the cost of an oil change for 1 truck

y -----> the cost of gas for 1 truck

z ----> the total bill

we know that

[tex]z=11[x+y][/tex]

we have

[tex]z=\$694.32[/tex]

[tex]y=(6)(3.52)=\$21.12[/tex]

substitute and solve for x

[tex]694.32=11[x+21.12][/tex]

[tex]x=(694.32/11)-21.12[/tex]

[tex]x=\$42[/tex]

Can someone pls help me with diagram 2 I'm confused about how I'm supposed to find the number for the corners like the other two diagrams.

Answers

Isn't that interesting? What a neat little problem.

The middle number between a and b = (a + b)/2
The middle number between b and c = (b + c) / 2
The middle number between c and d = (c + d)/2
The middle number between d and a = (d + a)/2

The sum of the numbers in the corners of
diagram 1 =  a + b + c + d Do you agree.

Now look at diagram two. Start by putting a, b, c and d in the corners.
Now remove the brackets from what I found above.
diagram 2 = a/2 + b/2 + b/2 + c/2 + c/2 + d/2 + d/2 + a/2 Now collect all the like terms.
diagram 2 = a/2 + a/2 + b/2 + b/2 + c/2 + c/2 + d/2 + d/2
a/2 + a/2 = a does it not?
b/2 + b/2 = b
c/2 + c/2 = c
d/2 + d/2 = d

The sum of the middle numbers in diagram 2 = a + b + c + d
But that's the same sum as diagram 1, which was what you were asked to prove. You cannot come up with a counter example that will give a different result, at least in the positive integers.

The question provides you with room for a written answer. You are going to have to reproduce in some form what I've put in italics.

Thank you for posting.

If I divide 3 into 19 what will the remainder be

Answers

1 because 18/3=6 and 19-18=1
19/3 = 6 1/3

The remanded would be 1.

I hope this helps!

What is a factor of 13

Answers

Answer:

1 and 13

Step-by-step explanation:

13 is a prime no. so it doesnt have more factors just it can be divided by 1 and itself 13

rectangle A is 15cm long. rectangle B is 40cm long and its width is 8 less than rectangle A. The area of Rectangle B is double Rectangle A. what is the width of Rectangle B?

Answers

The width is 24. 

You can get this by setting the rectangle A width to x and the rectangle B width to x - 24. Then set the area of A multiplied by 2 equal to the area of B. You can then solve for x. 

16a^2+21a+9=6a^2 solve the equation for all real solutions

Answers

a= -3/5
or
a= -3/2
No problem!
The answers are a1= -3/2 and a2= -3/5

Three out of four student surveyed in a school said they will vote for nuncio for class president. Predict how many of the 340 students in the school would vote for nuncio?

Answers

3/4 is .75. translate that to percentages, and you get 75%. This means that it is likely that 75% of the 340 students in total will vote for Nuncio. 
write it out:
.75*340
solve:
255

about 255 students are likely to vote for Nuncio
The answer is 255 students. I just multiplied .75 times 340.

What is the length of GH¯¯¯¯¯¯, to the nearest tenth of a meter? 7.3 m 13.7 m 14.1 m 19.4 m A scalene triangle G H J. The base side is J H. Side G J is labeled as 10 meters. Angle J is labeled as 45 degrees. Angle H is labeled as 31 degrees.

Answers

By applying the law of sines.

[tex] \frac{GH}{sin \ J} = \frac{GJ}{sin \ H} [/tex]

Given:
GJ = 10 , ∠J =45° , ∠H = 31°

∴ [tex] \frac{GH}{sin \ 45} = \frac{10}{sin \ 31} [/tex]

∴ GH = 10 * sin 45° / sin 31° ≈ 13.7 m

Answer:

13.7 m

Proof in Pic:

Which of the following functions are quadratic functions? (Select all that apply.)
A.f(x) = 2x − 4
B.f(x) = 3 − x2
C.f(x) = 3x2 − x − 6
D.f(x) = 3 x2

Answers

C. because in order for it to be a quadratic the equation has to have a squared value 
(ax2+bx+c)

Use Cramer's rule to solve 4x + 3y = 4, -3x - y = 7. Show your work.

Answers

The answer is shown in the picture because it ran afoul of Brainly's "bad word" detector.

Is the sequence geometric? If so, identify the common ratio. 1/5, 2/15, 4/45, 8/135, 16/405

Answers

a,ar,ar².... is the gp

now 2/15/1/5 = 2/3

and 4/45/2/15 = 2/3

therefore 2/3 is the common ratio

This is already answered by: Cerverusdante

So have the sequence: 1/5,2/15,4/45,8/135,16/405To check if the sequence is geometric, we are going to find its common ratio; to do it we are going to use the formula: r=(an)/(an-1)where  r is the common ratio  an is the current term in the sequence an is the previous term in the sequenceIn other words we are going to divide the current term by the previous term a few times, and we will to check if that ratio is the same:
For an= 2/15 and an-1=1/5 :r=(2/15)/(1/5)r=2/3
For an=4/45 and an-1=2/15:
r=(4/45)/(2/15)
r=2/3


For  an=8/135 and an-1=4/45 :r=(8/135)/(4/45)
r=2/3
As you can see, we have a common ratio!
We can conclude that our sequence is a geometric sequence and its common ratio is  2/3
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Which is the equation in slope-intercept form for the line that passes through (3,3) and is parallel to x + 3y = 4?

Answers

Hi there! The first answer is correct.

Let's first set up the equation in general form
ax + by = c

The line is parallel to x + 3y = 4, and therefore the formula is x + 3y = c.

The line passes through the point (3, 3) so we can plug in those values into the formula.

3 + 3 × 3 = c
3 + 9 = c
12 = c
c = 12

Now we have found the equation of our formula:
x + 3y = 12

Rewrite the formula.
First subtract x from both sides.
3y = -x + 12

Divide both sides by 3.
y = -1/3x + 4

Therefore, the first answer is correct.
[tex]k:x+3y=4\ \ \ |-x\\\\3y=-x+4\ \ \ |:3\\\\y=-\dfrac{1}{3}x+\dfrac{4}{3}\\\\l:y=mx+b\\\\l\ ||\ k\iff m=-\dfrac{1}{3}\\\\\text{therefore correct answer is}\ y=-\dfrac{1}{3}x+4[/tex]

Solving inequalities by Multiplying or Dividing.

Solve each inequality and check your solution. Then graph the solution on a number line. ~Thank you ;)

Answers

Final answer:

To solve inequalities by multiplying or dividing, apply the operation to both sides and remember to reverse the inequality when multiplying or dividing by a negative number. Graph the solution on a number line and check it. Graphical representations also help in visualizing economic data.

Explanation:

When solving inequalities by multiplying or dividing, it is important to remember that applying the same operation to both sides of the inequality does not change the sense of the inequality unless we multiply or divide by a negative number, which reverses the inequality. The procedure involves isolating the unknown on one side by using multiplication or division. It is key to multiply or divide every term on either side of the inequality whenever it involves more than one term. This is done by enclosing the side with more than one term in small brackets before performing the operation.

To graph the solution on a number line, identify the range of values that make the inequality true. For instance, in an inequality such as x > 5, you would draw an open circle at 5 and shade the line to the right to indicate all the values greater than 5. Remember to check your solution by substituting a number from the solution set back into the original inequality.

Moreover, if you encounter a graphing task related to economic models, it is helpful to represent the data visually using various graphs such as line graphs, pie charts, or bar graphs. These graphical representations illustrate patterns, comparisons, trends, and relationships in data effectively, providing an intuitive understanding of complex information.

what did the spanish farmer say to his chicken

Answers

he says oh lay
lol!!!

What the Spanish farmer said to his chicken is: Ohlay

How to find the missing words?

This is taken from the math's worksheet titled:

‘What Did the Spanish Farmer Say to His Chicken?’

This is a math worksheet activity where one must solve the given questions to find the letters that spell out the answer to what the farmer had said.

When we solve all the questions and check the letter list, then the answer will spell out oh lay. ‘Oh lay’ is Spanish for a sense of encouragement or as an approval or an hour for triumph.

Activities are given to children along with the questions to make the task of solving the mathematical equations fun while simultaneously learning about the concept. It also challenges their skills and improves them.

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what is produced in photosynthesis

Answers

Photosynthesis produces glucose from carbon dioxide and water.

Hope this helps!

Answer:

The answer is oxygen and glucose

Step-by-step explanation:

Science man

Y = 2x - 1 and y = x + 3 find the solution by graphing or substitution

1. ( 4,7)
2. ( 7,4)
3. ( -7,-4)
4. Infinite solutions

Answers

The answer is the 3rd one

Answer:

Ripboodap9urmy you are wrong utterly wrong. I had a feeling you were guessing why would you say it's the third choice out of the blue

Step-by-step explanation:

And person who's asking this believe me it is (4,7) I ligit just took the test and got it correct and it's the first choice.

Plzz give me brainlist!!

BRAINLIEST 20 POINTS

Answers

14.
[tex]y=-\dfrac{5}{8}x+3\ \ \ |\cdot8\\\\8y=-5x+24\ \ \ |+5x\\\\\boxed{5x+8y=24}[/tex]

15.
[tex]k:y=m_1x+b;\ l:y=m_2x+c\\\\k\ ||\ l\ \iff\ m_1=m_2[/tex]

therefore [tex]y=2x+b[/tex]

substitute the coordinates of the point to the equation:

[tex](3;\ 8)\to x=3;\ y=8\\\\8=2\cdot3+b\\8=6+b\ \ \ \ |-6\\b=2[/tex]

Answer: y = 2x + 2

16.
[tex]k:y=m_1x+b;\ l:y=m_2x+c\\\\k\ ||\ l\iff m_1=m_2\\\\k\ \perp\ l\iff m_1\cdot m_2=-1[/tex]

[tex]k:y=-3x+7\\\\l:-2x+6y=3\ \ \ |+2x\\\\6y=2x+3\ \ \ |:6\\\\y=\dfrac{1}{3}x+\dfrac{1}{2}\\\\m_1=-3;\ m_2=\dfrac{1}{3}\\\\m_1\cdot m_2=-3\cdot\dfrac{1}{3}=-1[/tex]

therefore [tex]k\ \perp\ l[/tex]

Answer: perpendicular

17.
a conditions as in the 16th question.

[tex]k:y=-\dfrac{1}{4}x+8\\\\l:-2x+8y=4\ \ \ |+2x\\\\8y=2x+4\ \ \ |:8\\\\y=\dfrac{1}{4}x+\dfrac{1}{2}\\\\m_1=\dfrac{1}{4};\ m_2=\dfrac{1}{4}\\\\m_1=m_2[/tex]

therefore\ [tex]k\ ||\ l[/tex]

Answer: parallel

Answer:

lol thxs for the points

Step-by-step explanation:

Andrew ran 4 laps on Sunday and 2.2 laps on Saturday. If each lap is 1.5 miles, how far did Andrew run last weekend?

Answers

4 x 1.5 + 2.2 x 1.5 = 12.3

HEEEEEEEEEELLLLLLLLLLLLLLLLLPPPPPPPPPPPPPP PLZZZ

Use the expression 4(8 + 3x) to answer the following:

Part A: Describe the two factors in this expression.

Part B: How many terms are in each factor of this expression?

Part C: What is the coefficient of the variable term?

Answers

Asked and answered elsewhere.
https://brainly.com/question/9954194

The expression 4(8 + 3x) has two factors: the number 4 and the binomial (8 + 3x). The number 4 has one term, and the binomial has two terms (8 and 3x). The coefficient of the variable term 3x is 3.

In response to the question about using the expression 4(8 + 3x), let's break it down.

Part A: Describe the two factors in this expression.

The expression has two factors: the numeral 4 and the parenthetical (8 + 3x).

Part B: How many terms are in each factor of this expression?

The first factor, 4, consists of one term because it is a single number. The second factor, (8 + 3x), consists of two terms: the constant term 8, and the variable term 3x.

Part C: What is the coefficient of the variable term?

The coefficient of the variable term 3x is 3.

∠YXZ and ∠ZXW are adjacent and supplementary angles. If m∠YXZ = 37°, what is m∠ZXW?

A. 143°
B. 37°
C. 53°
D. unknown

Answers

Answer: Choice A) 143 degrees

To get this answer quickly, you subtract the given angle (37) from 180 to get 180-37 = 143

The more longer answer would look something like this
x+37 = 180 .... the two supplementary angles add to 180 degrees
x+37-37 = 180-37 .... subtract 37 from both sides
x+0 = 143
x = 143
where x is the measure of angle ZXW

Help please!? {Testing week}

If the sides of two similar figures have a similarity ratio of 5/3, what is the ratio of their perimeter?

Answers

Perimeters and Areas. When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. In Figure 1 , Δ ABC∼ Δ DEF. ... The ratios of corresponding sides are 6/3, 8/4, 10/5.

The ratio of the perimeters of two similar figures with a similarity ratio of 5/3 is also 5/3. This ratio applies to all corresponding linear measurements, including perimeter, when figures are similar.

If the sides of two similar figures have a similarity ratio of 5/3, the ratio of their perimeters will also be 5/3. This is because the perimeter of a figure is simply the sum of its side lengths, and since all corresponding sides are in the same ratio for similar figures, the perimeters will be in the same ratio too.

For example, if one figure has a side length of 5 units, its similar figure will have the corresponding side length of 3 units (given the ratio). If you add up all the sides for the first figure and all the sides for the second figure, the sums will still maintain that 5/3 ratio due to the proportional nature of similarity in geometry.

draw an angle measuring 700 degrees in standard position.

Answers

A screenshot of the angle is attached.

700 is almost 2 complete revolutions around the graph.  700-360=340; this means it is the same as going 20° backwards from the starting point.
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