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qwelly [4]
3 years ago
7

A square plywood platform has a perimeter which is 8 times the length of a side, decreased by 12. Find the length of a side.

Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0

Answer: The length of a side equals 3 units.

Step-by-step explanation: The given figure is a square, and a square is a shape with all four sides having equal measurement. This means if the length is given as L, then the width would also measure as L.

Also we are given a clue as to the measurement of the perimeter of the square. Normally, the perimeter of a square would be computed as

Perimeter = 4L (that is, add up all four sides). But since we have been told that the perimeter is equal to eight times the length of a side {8 x L, or 8L} decreased by 12 {8L - 12} we can conveniently express the perimeter as

Perimeter = 8L - 12.

However, remember that the formula for a perimeter is Perimeter = 4L. Therefore what we have come up with is,

8L - 12 = 4L

(Remember that both sides of the equation represents the perimeter)

By collecting like terms we now have

8L - 4L = 12

(Remember that when a negative value crosses from one side of the equation to the other, it becomes positive, and vice versa)

8L - 4L = 12

4L = 12

Divide both sides of the equation by 4

L = 3

Therefore, one side of the square measures 3 units

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The 59th and 4th team of an Ap are - 61 and 64 respectively. Show that the common differences is - 2.5 and 23rd term is 16.5​
Mnenie [13.5K]

Answer:

See answers below

Step-by-step explanation:

T59 = a+58d = -61

T4 = a+3d = 64.

Subtract

58d-3d = -61-64

-55d = -125

d =125/55

d = 25/11

Get a;

From 2

a+3d = 64

a+3(25/11) = 64

a = 64-75/11

a = 704-75/11

a = 629/11

T23 = a+22d

T23 = 629/11+22(25/11)

T23 = 1179/11

3 0
3 years ago
(2a²-a²-7a+2)÷(a-2) Answer Please ​
ikadub [295]

Answer:

2a^2 + 3a - 1 ,

Step-by-step explanation:

I am assuming you mean

2a^3-a^2-7a+2

By long division:

a - 2 ) 2a^3 -   a^2 - 7a +  2 ( 2a^2 + 3a - 1 <------- Quotient

          2a^3 - 4a^2

                     3a^2 - 7a

                     3a^2 - 6a

                                -a + 2

                                -a + 2

                                 . . . . .

7 0
2 years ago
Y = 3/2x + 3<br> The slope and y-intercept
ra1l [238]

Answer:

Slope=3/2

Y-intercept=3

Step-by-step explanation:

7 0
2 years ago
What is the slope of the graph?
VMariaS [17]

<u>Given</u>:

Given that an aquarium is being filled with water.

The given graph shows the height of the water over time as the aquarium is being filled.

We need to determine the slope of the graph.

<u>Slope</u>:

The slope of the given graph can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Since, the slope is same for all the points on the straight line, then let us consider the points (2,5) and (4,10)

Substituting these points in the above formula, we get;

m=\frac{10-5}{4-2}

Simplifying, we get;

m=\frac{5}{2}

m=2.5

Thus, the slope of the given graph is 2.5

8 0
3 years ago
I NEED HELP !!!! A taxi driver spends $105 every week on gas for 6 weeks. What integer represents the effect of buying $105 on g
aev [14]

.Answer:

-105

Step-by-step explanation:

Given

Gas = \$105 for 6 weeks

Required

Represent this as an integer

If the driver spends $105 on his taxi then it means that the money is debited from the driver's bank account.

Debit implies negative and it is represented by a negative symbon

Hence, the integer that represents this scenario is -105

7 0
3 years ago
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