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3 years ago

There are 24 cans of soda arranged in 4 rows of 6 cans each. Each can is a

Mathematics

1 answer:

Studentka2010 [4]3 years ago

7 0

Answer:

23,040 cm^3.

Step-by-step explanation:

The case will be 6 * diameter of a can in length,

= 6* 8= 48 cm.

The width will be 4 * 8 = 32 cm.

The height = height of each can

= 15 cm.

So the volume of the case = 15*32*48

= 23,040 cm^3.

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A school is planning to construct two rectangular play areas in the playground. The length of play area A must be 1 foot longer

Anna11 [10]

Answer:

А.The system has two solutions, but only one is viable because the other results in a negative width.

Step-by-step explanation:

Given

Let:

$L_A \to$ length of play area A

$W_A \to$ width of play area A

$L_B \to$ length of play area B

$W_B \to$ width of play area B

$x \to$ Area of A

$y \to$ Area of B

From the question, we have the following:

$L_A = 1 + 4W_A$

$W_B = 2 + W_A$

$L_B = 2 + 3W_B$

$x = y$

The area of A is:

$x = L_A * W_A$

This gives:

$x = (1 + 4W_A) * W_A$

Open bracket

$x = W_A + 4W_A^2$

The area of B is:

$y = L_B * W_B$

$y = (2 + 3W_B) * ( 2 + W_A)$

Substitute: $W_B = 2 + W_A$

$y = (2 + 3(2 + W_A)) * ( 2 + W_A)$

Open brackets

$y = (2 + 6 + 3W_A) * ( 2 + W_A)$

$y = (8 + 3W_A) * ( 2 + W_A)$

Expand

$y = 16 + 8W_A + 6W_A + 3W_A^2$

$y = 16 + 14W_A + 3W_A^2$

We have that:

$x = y$

This gives:

$W_A + 4W_A^2 = 16 + 14W_A + 3W_A^2$

Collect like terms

$4W_A^2 - 3W_A^2 + W_A -14W_A - 16 =0$

$W_A^2 -13W_A - 16 =0$

Using quadratic calculator, we have:

$W_A = -14.1$ or $W = 1.13$ --- approximated

But the width can not be negative; So:

$W = 1.19$

7 0

3 years ago

Franco has $265.87 in his checking account. Then he writes the deposit slip shown. How should Franco enter the deposit in his ch

artcher [175]

Answer:

The answer is the top right one since the total $96.35 is on the deposit side.

( i did this before and got it right btw)

8 0

3 years ago

In the above bridge, line segment BD is the perpendicular bisector of line segment AC. For the bridge to be safe, Triangle ABD i

klasskru [66]

Answer: we can get the sequence of reasons with help of below explanation.

Step-by-step explanation:

Here It is given that, line segment BD is the perpendicular bisector of line segment AC. ( shown in below diagram)

By joining points B with A and B with C ( Construction)

We get two triangles ABD and CBD.

We have to prove that : Δ ABD ≅ Δ CBD

Statement Reason

1. AD ≅ DC 1. By the property of segment bisector

2. ∠BDA ≅ ∠ BDC 2. Right angles

3. BD ≅ BD 3. Reflexive

4. Δ ABD ≅ Δ CBD 4. By SAS postulate of congruence

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3 years ago

PLEASE HELP ASAP!!!! What is the first quartile,Q1, of the data set?

Goshia [24]

The first quartile of the data set is 28 because it is the median of the lower set.

6 0

3 years ago

Find an equivalent expression. 10-8(4x-2)

andrew-mc [135]

Answer:

-32x+26

Step-by-step explanation:

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3 years ago