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2 years ago

8

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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Answer:

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Using Pythagorean theorem WHICH ONLY WORKS FOR RIGHT TRIANGLES,

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c= $\sqrt{1369}$

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3 years ago

1. Which function describes the sequence 2,4,6,8......? *

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Answer:

$f(1) = 2$

$f(n) = f(n-1) + 2$ where $n\geq 2$

Step-by-step explanation:

Given

2,4,6,8...

Required

Which function determines the sequence

Represent the terms with n where n is 1,2,3....

Analyzing each term:

$f(1) = 2$

$f(2)= 4 = 2 + 2 = f(1) +2$

$f(3)= 6 = 4 + 2 = f(2) +2$

$f(4)= 8 = 6 + 2 = f(3) +2$

Notice that each term is an addition of the previous term and 2

In other words:

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However, the function is only effective for values of n greater than or equal to 2

So: $n\geq 2$

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2 years ago