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ohaa [14]
3 years ago
9

Find the total surface area of the net below.

Mathematics
1 answer:
Irina-Kira [14]3 years ago
5 0
Wow lol I need help on that one toooo
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the area of a rectangle is 96m^2 and the circumference is 39.2m. Determine the dimensions if the rectangle​
goldenfox [79]

Answer:

Dimension => 10 m × 9.6 m

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = 96 m²

Circumference (C) = 39.2 m

Dimension =.?

Next, we shall determine the Lenght and breadth of the rectangle. This can be obtained as follow:

Let L be the Lenght

Let B be the breadth

Area of a rectangle = L × B

96 = L × B ..... (1)

Circumference of rectangle = 2(L + B)

39.2 = 2(L + B) .... (2)

From equation 2, make L the subject

39.2 = 2(L + B)

Divide both side by 2

39.2 /2 = L + B

19.6 = L + B

Rearrange

L = 19.6 – B ....(3)

Substitute the value of L in equation 3 into equation 1

96 = L × B

L = 19.6 – B

96 = (19.6 – B ) × B

Clear bracket

96 = 19.6B – B²

Rearrange

B² – 19.6B + 96 = 0

Solving by factorisation

B² – 10B – 9.6B + 96 = 0

B(B – 10) – 9.6(B – 10) = 0

(B – 9.6)(B – 10) = 0

B – 9.6 = 0 or B – 10 = 0

B = 9.6 or B = 10

Substitute the value of B into equation 3:

L = 19.6 – B

B = 9.6

L = 19.6 – 9.6

L = 10

Or

L = 19.6 – B

B = 10

L = 19.6 – 10

L = 9.6

Since the length is always longer than the breadth,

Length (L) = 10 m

Breadth (B) = 9.6 m

Finally, we shall determine the dimension of the rectangle. This can be obtained as follow:

Length (L) = 10 m

Breadth (B) = 9.6 m

Dimension =?

Dimension = L × B

Dimension = 10 m × 9.6 m

5 0
3 years ago
What is the third quartile of this data set ? 14,18,20,21,25,32,40,44,48
kotykmax [81]

42

Step-by-step explanation:

Step 1 :

Given data set - 14,18,20,21,25,32,40,44,48

We need to get the 3rd quartile

Step 2 :

To find the quartile's , we have to divide the data set into 4 equal quarters.

The 3rd cut will give the 3rd quartile

Step 3:

The median of this data set is at 25, there are 4 numbers below and above it.

Now we take the 2nd half of the set , after the median and take the median of it.

There are 4 numbers in the 2nd half 32,40,44,48. Cutting this into 2 , we have the cut to fall between 40 and 44. Hence taking the average of this will give the 3rd quartile.

The average of 40 and 44 is 42 .

Hence the 3rd quartile is 42.

7 0
3 years ago
Drop your ig's i need new friends ( high schoolers only)
Luba_88 [7]

Answer:

sorry im middle school we can still hang though

Step-by-step explanation:

8 0
3 years ago
(x+2)(x2 - 2x+4)expand and simplify​
Ksenya-84 [330]

Answer:

Step-by-step explanation:

2x2 is 4

5 0
3 years ago
Subtract 6 from me then multiply by 2 if you subtract 40 then divide by 4 you get 8 what number I am
stellarik [79]

Answer:

42

Step-by-step explanation:

42-6 = 36

36*2 = 72

72-40 = 32

32/4 = 8

8 0
3 years ago
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