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noname [10]
3 years ago
7

Need help please help

Mathematics
2 answers:
professor190 [17]3 years ago
5 0
153.9 inches is the correct answer
Ann [662]3 years ago
3 0

Answer:

153.9 in²

Step-by-step explanation:

Using the formula: A = π r²

Where r = the radius and π is 3.14.

The radius is the diameter divided by 2.

14 divided by 2 is 7.

Plug in 7 into the formula:

A = π 7²

7² is 49.

49 times π is equal to 153.86.

Rounding this up to the nearest tenth, you'll get 153.9

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A rectangular box is to have a square base and a volume of 12 ft3. If the material for the base costs $0.17/ft2, the material fo
katen-ka-za [31]

Answer:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

Step-by-step explanation:

Let the dimensions of the box be x, y and z

The rectangular box has a square base.

Therefore, Volume of the boxV=x^2z

Volume of the box=12 ft^3\\

Therefore, x^2z=12\\z=\frac{12}{x^2}

The material for the base costs \$0.17/ft^2, the material for the sides costs \$0.10/ft^2, and the material for the top costs \$0.13/ft^2.

Area of the base =x^2

Cost of the Base =\$0.17x^2

Area of the sides =4xz

Cost of the sides==\$0.10(4xz)

Area of the Top =x^2

Cost of the Base =\$0.13x^2

Total Cost, C(x,z) =0.17x^2+0.13x^2+0.10(4xz)

Substituting z=\frac{12}{x^2}

C(x) =0.17x^2+0.13x^2+0.10(4x)(\frac{12}{x^2})\\C(x)=0.3x^2+\frac{4.8}{x} \\C(x)=\dfrac{0.3x^3+4.8}{x}

To minimize C(x), we solve for the derivative and obtain its critical point

C'(x)=\dfrac{0.6x^3-4.8}{x^2}\\Setting \:C'(x)=0\\0.6x^3-4.8=0\\0.6x^3=4.8\\x^3=4.8\div 0.6\\x^3=8\\x=\sqrt[3]{8}=2

Recall: z=\frac{12}{x^2}=\frac{12}{2^2}=3\\

Therefore, the dimensions that minimizes the cost of the box are:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

7 0
3 years ago
Multiply the sum of -13/8 and 5/12 by their difference.​
REY [17]

Answer:

1421/576

Step-by-step explanation:

Sum = - 13/8 + 5/12 = - 39/24 + 10/24 = - 29/24

Difference = - 13/8 - 5/12 = - 39/24 - 10/24 = - 49/24

Sum * Difference = (-29/24)*(-49/24) = 1421/576

6 0
2 years ago
Luca has 15
pav-90 [236]

Answer:10 question 1/2

Step-by-step explanation:

6 0
3 years ago
ANSWER FAST PLZ !!!!!!!!!!!!!!!!!!!!!!!!1
ryzh [129]

Answer:

more likely

Step-by-step explanation:

the probability of 0.05 suggests there is a chance of that event happening. A probability of 0 says that such event would never happen. so despite being small the 0.05 chance is higher than the probability of 0

4 0
2 years ago
Read 2 more answers
Olivia has enter a buffet line in which he chooses one kind of meat two kinds of vegatables and one dessert if the order of the
masya89 [10]

Using the Fundamental Counting Theorem, it is found that she can choose 180 different meals.

<h3>What is the Fundamental Counting Theorem?</h3>

It is a theorem that states that if there are n things, each with n_1, n_2, \cdots, n_n ways to be done, each thing independent of the other, the number of ways they can be done is:

N = n_1 \times n_2 \times \cdots \times n_n

In this problem:

  • For the meat, there are 3 outcomes, hence n_1 = 3.
  • For the two vegetables, 2 are taken from a set of 6, hence, applying the combination formula, n_2 = C_{6,2} = \frac{6!}{2!4!} = 15.
  • For the dessert, there are 4 outcomes, hence n_3 = 4.

Then:

N = n_1n_2n_3 = 3(15)(4) = 180

She can choose 180 different meals.

To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/24314866

4 0
2 years ago
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