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yKpoI14uk [10]
3 years ago
12

Mrs drew wants to build a square sandbox with an area of 169 square feet. What is the total length of wood mrs. Drew needs to ma

ke the sides of the​ sandbox
Mathematics
1 answer:
Bezzdna [24]3 years ago
7 0

Area of sandbox = 169 square feet

Area of square with side 'x' is given by the formula = x^2

We have to determine the total length of wood Drew needs to make the sides of the​ sandbox.

Total length of wood required would be equal to perimeter of sandbox.

Let 'a' be the side of the square sandbox.

So, Area of sandbox = 169

a^2 = 169

a = \sqr{169}

a = 13 feet

Total length of wood required to make sides of the sandbox = Perimeter of the square sandbox = 4 \times a

= 4 \times 13

= 52 feet.

Therefore, 52 feet of wood is required to make the sides of the square sandbox.


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A manufacturer is studying the effects of cooking temperature, cooking time, and type of cooking oilfor making potato chips. Thr
Lera25 [3.4K]

Answer:

(a) The total number of combinations that can be applied for making potato chips is 36.

(b) The number of combinations that will be used for each type of oil is 12.

(c) Permutations are not an issue because order does not matter.

Step-by-step explanation:

The effects of cooking temperature, cooking time and cooking oil is studied for making potato chips.

The number of different temperatures applied is, <em>n</em> (T) = 3.

The number of different times taken is, <em>n</em> (t) = 4.

The number of different oils used is, <em>n</em> (O) = 3.

If an assignment can be done in <em>n</em>₁ ways and if for this assignment another assignment can be done in <em>n</em>₂ ways then these two assignments can be performed in (<em>n</em>₁ × <em>n</em>₂) ways.

(a)

Compute the total number of combinations that can be applied for making potato chips as follows:

Total number of combinations for making chips = n (T) × n (t) × n (O)

                                                                               =3\times4\times 3\\=36

Thus, the total number of combinations that can be applied for making potato chips is 36.

(b)

To make potato chips 4 different temperatures are used and 3 different oils are used.

Each of the oil type is cooked in 4 different temperatures.

So the number of ways to select each oil type is,

<em>n</em> (T) × <em>n</em> (O) = 4\times3=12

Thus, the number of combinations that will be used for each type of oil is 12.

(c)

Permutation is the arrangement of objects in a specified order.

Since in this case ordering of the the three effects, i.e. temperature. time and oil type is not important, permutations are not an issue.

8 0
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At the animal shelter for every 6 dogs they had 4 cats. If there are 80 pets in total at the animal
Alborosie

Answer60

Step-by-step explanation:

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g100num [7]
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4 0
4 years ago
The total use of electricity in the United States was 0.4 trillion kilowatt-hours in 1950 and about 2.8 trillion kilowatt-hours
lora16 [44]

Answer: 7

Step-by-step explanation:

Scientific notation is a method that is used in very large numbers or when we've very small numbers. The number given will be multiplied by its power of 10. In this case,

2.8 trillion = 2,800,000,000,000

= 2.8 × 10^12

0.4 trillion = 400,000,000,000

= 4 × 10^11

Therefore, the times more electricity was there in 1999 than 1950 will be:

= (2.8 × 10^12) / (4 × × 10^11)

= (2.8/4) / (10^12 - 11)

= 0.7 × 10

= 7 times

There were 7 times more electricity that was there in 1999 than 1950.

3 0
3 years ago
What is the geometric mean of 12 and 9
Ira Lisetskai [31]

Answer:

10.3923

Step-by-step explanation:

= ( 12 x 9 )^1/2

= ( 108 )^0.5

= 10.3923

8 0
3 years ago
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