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olga nikolaevna [1]
3 years ago
7

Petra fills a small cardboard box with sand. The dimensions of the box are 3 inches by 4 inches by 2 inches. What is the volume

of the box?
Mathematics
1 answer:
mr Goodwill [35]3 years ago
8 0

Answer: 24 in³

Step-by-step explanation:

You know that the dimensions of the box are:

3 inches.

4 inches.

2 inches.

As each face of the cardboard box is a rectangle, you can conclude that it has the form of a rectangular prism.

Therefore, to calculate the volume of the box, you must multiply the dimensions given in the problem.

Therefore, you obtain that the volume of the box is:

V=(3\ in)(4\ in)(2\ in)\\V=24\ in^3

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Pls help :Find the missing side or angle.<br> Round to the nearest tenth.
Nitella [24]

Answer:

C° = 71.6056

Step-by-step explanation:

Law of Cosines: c² = a² + b² - 2abcosC°

Step 1: Plug in known variables

29² = 30² + 15² - 2(30)(15)cosC°

Step 2: Evaluate

841 = 900 + 225 - 900cosC°

-59 = 225 - 900cosC°

-284 = -900cosC°

71/225 = cosC°

cos⁻¹(71/225) = C°

C° = 71.6056

And we have our answer!

7 0
3 years ago
Read 2 more answers
Five times the sum of a number and 27 is greater than or equal to six times the sum of that num
stepladder [879]

Question:

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.

What is the solution set of this problem?

Answer:

x \leq -21

Step-by-step explanation:

Given

<em>Represent the number with x</em>

So:

5 * (x + 27) \geq 6 * (x + 26)

Required

Determine the solution set

5 * (x + 27) \geq 6 * (x + 26)

Open Both Brackets

5 * x + 5 * 27 \geq 6 *x + 6 * 26

5x + 135 \geq 6x + 156

Collect Like Terms

5x - 6x \geq 156-135

- x \geq 21

Multiply both sides by -1

x \leq -21

Hence, the solution set is x \leq -21

7 0
3 years ago
7t=x,for t .what is the formula
Andrei [34K]

The formula for t would be x/7.

In order to find this, we simply follow the order of operations to solve for t.

7t = x ----> Divide both sides by 7

t = x/7

6 0
3 years ago
Select the locations on the number line to plot the points 10/2 and −9/2 .
tresset_1 [31]

Answer:

5 and -4.5

Step-by-step explanation:

10/2=5

and -9/2=-4.5

-5  -4.5 -4 -3 -2 -1 0 1  2 3 4 5

4 0
3 years ago
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Simplify (a+b)^3 + (a-b)^3 + 6a(a^2-b^2)
11111nata11111 [884]

Answer:

8a^3.

Step-by-step explanation:

(a+b)^3=a^3+b^3+3a^2b+3ab^2

(a-b)^3=a^3-b^3-3a^2b+3ab^2

(a+b)^3+(a-b)^3=2a^3+6ab^2

According to the question

(a+b)^3+(a-b)^3+6a(a^2-b^2)

Put in the value

=2a^3+6ab^2 +6a^3–6ab^2

=8a^3

7 0
3 years ago
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