The lateral area of a cube is 36 square inches. How long is each edge?

Answers

Answer 1
Answer:

The length of the edge of the given cube that has a lateral area of 36 square inches is: 3 inches.

What is the Lateral Area of a Cube?

Lateral area of a cube = 4a², wherea is the length of each edge of the cube.

Given the parameters:

  • Lateral area = 36 square inches
  • Length of each edge = a = ?

4a² = 36

a² = 36/4

a² = 9

a = 3 inches.

Length of each edge of the cube = 3 inches.

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Answer 2
Answer: Cubes have three square sides. The area of one side is the edge length squared:
36 = L^2
L = sqrt(36) = 6
The volume of a cube is edge length cubed:
V = L^3 = 216 cubic inches


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15 donuts in 3 boxes = how many donuts per box​
A manufacturer determines that the cost of making a computer component is $4.252525. Write therepeating decimal cost as a fraction and as a mixed number. The cost written as a fraction is???
A swimming pool and deck are built in a rectangle with length 40 ft and width 18 ft. If the pool itself is 320 square feet, what is the area of the deck itself?

How many solutions does the following system of equations have?y=5/2x+2
2y=5x+4

One

Two

Zero

Infinitely many

Answers

We will use a method of substitution.
y = 5/2 x + 2 
2 y = 5 x + 4   ⇒  2 ( 5/2 x + 2 )= 5 x + 4
5 x + 4 = 5 x + 4
0 x = 0            ⇒  x, y ∈ R
Answer: D)   
This system has infinitely many solutions.

The table below shows the distance y, in miles, traveled by a toy car in x minutes:Time (x)
(minutes) 20 30 40 50
Distance (y)
(miles) 5 10 15 20


Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and distance traveled by the toy car. (4 points)
[Choose the value of correlation coefficient from 1, 0.8, 0.5, 0.02]

Part B: What is the value of the slope of the graph of distance versus time, and what does the slope represent? (3 points)

Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)

Answers

Part A: The correlation coefficient is 1. It means that the values of both x and y has a strong relationship giving them a avalue of 1.

Part B: The value of the slope of the graph is 0.5. the slope of the line represents how steep is the line of your graph

Part C: The data presented is correlation.

If a watch costs $40 and you must pay 6.5% sales tax, how much will the tax be?

Answers

Answer:

$42.60

Step-by-step explanation:

change 6.5% to. 065 and multiply it by 40. $2.60 is your sales tax. then add 2.60 to $40 which equals $42.60

I need help with this question

Answers


With all due respect, I'm guessing that you're fine with the question,
but you could use some help on the answer.  Am I right ?

-- The answer has something to do with the total amount the coach spent,
so we'll need to know that amount.   Let's find it now:

(9 chickens) x ($5 each) = $45 for chicken
(15 burgers) x ($6 each) = $90 for burgers

Total amount he spent:  ($45 + $90) = $135 all together  ( nice coach ! )

What part of it was used for the chickens ?
Remember, he spent  $45  for chickens.

   $45 / $135  =  1/3  =  0.33333....  =   ( 33 and 1/3 ) percent

Now I'm wondering ... it doesn't say anywhere in the problem ...
do you think he gave any of that food to the team ?


To celebrate the first day of school, Reagan brought in a tray of caramel brownies and walnut brownies. The tray had a total of 20 brownies, of which 10% were caramel. How many caramel brownies did Reagan bring?

Answers

Answer:

18 I think

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Reagan brought 2 caramel brownies.

Solve using a proportion.

(?)/(20)=(10)/(100)

You're trying to find how many brownies he brought were caramel. We know Reagan brought a total of 20 brownies. Therefore since you don't know how many caramel brownies he brought, the fraction would be ?/20. Next, you know he brought brownies in which 10% were caramel. In proportions, the denominator would be 100% since that is the total percentage. Therefore, the proportion would be 10%/100%. Now we just have to cross multiply.

Proportion:

(?)/(20)=(10)/(100)

10 x 20 = 200

200/100= 2

Thus, Reagan brought 2 caramel brownies.

Allison is planning to cover the lateral surface of a large cylindrical garbage can with decorative fabric for a theme party. The can has a diameter of 3 feet and a height of 3.5 feet. How much fabric does she need? Round to the nearest square foot.

Answers

The cylinder:
Lateral Area = 2 r π h,
where: r = 1.5 ft, h = 3.5 ft,  π ≈ 3.1416
Lateral Area = 2 · 1.5 · 3.146 · 3.5 = 32.9868 ft² ≈ 33 ft²
Answer:
Allison needs 33 ft² of a decorative fabric.

Answer:

approx. 33ft^2

Step-by-step explanation: