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2 years ago

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At another theater, workers have to cut a new trap door. The door can be no more than 137 square feet in area, with whole-number

side lengths. They have to bring in 3 items to the stage. The first item is 4 feet 5 inches wide and 5 feet 9 inches long. The second item is 14 feet 4 inches wide and 8 feet 8 inches long. The third item is 7 feet 6 inches wide and 10 feet 4 inches long.

1 answer:

otez555 [7]2 years ago

4 0

Answer:

Step-by-step explanation:

Given:

trap door = 130 square feet.

1st item: 6ft 5in wide & 8ft 9in long

⇒ (6ft * 12 in) + 5 in & (8ft *12 in) + 9 in

⇒ 77inches by 105 inches

⇒ 8,085 square inches

2nd item: 13ft 4in wide & 7ft 8in long

⇒ (13ft * 12in)+ 4 in & (7ft *12in) + 8 in

⇒ 160 inches by 92 inches

⇒ 14,720 square inches

3rd item: 5ft 6in wide & 12ft 4in long

⇒ (5 ft * 12in) + 6 in & (12ft * 12in) + 4in

⇒ 66 inches by 148 inches

⇒ 9,768 square inches

130 square feet convert to square inches.

130 sq. ft * 144 sq.in/sq.ft = 18,720 sq. in

18,720 sq. in / 160 inches = 117 inches

Length = 160 inches ; Width = 117 inches

Perimeter = 2(160 + 117)

P = 2(277)

P = 554 inches

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allochka39001 [22]

Answer:

Step-by-step explanation:

Perimeter of quarter circle = r + r + $\frac{1}{4}*2*\pi *r$

$= 10 + 10 + \frac{1}{4}*2*3.14*10\\\\= 10 + 10 + 3.14*5\\\\\\= 10 + 10 + 15.70\\\\= 35.70 cm$

2) d = 2*10 = 20 cm

Perimeter of semicircle = diameter + (1/2) * circumference of circle

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3) Perimeter of three-quarter = r + r + (3/4)* circumference of circle

$= 10 + 10 + \frac{3}{4}*2*\pi *r\\\\= 10 + 10 + \frac{3}{4} * 2 * 3.14 * 10\\\\= 10 + 10 + 3 * 3.14 * 5\\\\= 10 + 10 + 47.1\\\\= 67.1 cm$

5 0

3 years ago

Assume that the probability of a defective computer component is 0.02. Components arerandomly selected. Find the probability tha

solmaris [256]

Answer:

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

Step-by-step explanation:

Assume that the probability of a defective computer component is 0.02. Components are randomly selected. Find the probability that the first defect is caused by the seventh component tested.

First six not defective, each with 0.98 probability.

7th defective, with 0.02 probability. So

$p = (0.98)^6*0.02 = 0.0177$

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

Find the expected number and variance of the number of components tested before a defective component is found.

Inverse binomial distribution, with $p = 0.02$

Expected number before 1 defective(n = 1). So

$E = \frac{n}{p} = \frac{1}{0.02} = 50$

Variance is:

$V = \frac{np}{(1-p)^2} = \frac{0.02}{(1-0.02)^2} = 0.0208$

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

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3 years ago

Leona answered all the questions on a test. She had 90% of them correct. There were 40 questions in all. How many did she have c

KengaRu [80]

Answer:

The answer is 36

Step-by-step explanation:

Let the number be <em>x</em>

x/40 is her mark

she got 90% mark correct

x/40 x 100 = 90

by cancellation we get 9 x 4 = 36

HOPE THIS HELPS

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3 years ago

A=8 square root of 3<br> B=16<br> C=12<br> D=8

gulaghasi [49]

Step-by-step explanation:

8√383 by √3√333.

8√3⋅√3√383⋅33

Combine and simplify the denominator.

Tap for more steps...

8√33833

The result can be shown in multiple forms.

Exact Form:

8√33833

Decimal Form:

4.61880215

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3 years ago

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tiny-mole [99]

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3 years ago

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