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kherson [118]
3 years ago
9

A square and a rectangle have the same area. If the dimensions of the rectangle are 4 ft by 16 ft, how long is a side of the squ

are?
A 10 ft
B. 8 ft
C 32 ft
D. 6ft
E 20 ft
Mathematics
1 answer:
Maru [420]3 years ago
8 0

9514 1404 393

Answer:

  B. 8 ft

Step-by-step explanation:

The area of the rectangle is ...

  A = LW = (16 ft)(4 ft) = 64 ft²

The area of the square in terms of its side length is ...

  A = s²

For the square to have the area of the rectangle, its side length must be ...

  64 ft² = s²

  s = √(64 ft²) = 8 ft

A side of the square is 8 feet long.

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Ludmilka [50]

The quantity of each type of seats sold are as follows:

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  • Movie and a dinner seat = 200

According to the question,there are four times as many 3D, x seats as Dinner and a Movie, y seats.

That is, x = 4y

Also, total seats

= (x) + (y) + (z) = 3000...….............eqn(1)

Also, If the theater brings in $53,000 when tickets to all 3000 seats are sold.

  • 20x + 35y + 15z = 53000...........eqn(2)

By substituting 4y for x in equations 1 and 2; we have;

<em>5y + z = 3000</em>..…........eqn(3) and

<em>115y + 15z = 53000</em>.........eqn(4)

By solving equations 3 and 4 simultaneously; we have;

y = 200 and z = 2000

and since x = 4y

x = 800

The quantity of each type of seats sold is as follows:

  • Standard viewing = 2000

  • 3D seats = 800

  • Movie and a dinner seat = 200

Read more:

brainly.com/question/12413726

5 0
3 years ago
Planes S and R both intersect plane T .
neonofarm [45]
<h2>[A] Plane S contains points B and E.</h2>

False

As indicated in Figure A below, Plane S contains only point B (remarked in red). Point E (remarked in blue) lies on plane R.

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True

As indicated in Figure B below, the line containing points A and B lies entirely in plane T. That line has been remarked in red and it is obvious that lies on plane T.

<h2>[C] Line v intersects lines x and y at the same point.</h2>

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As indicated in Figure C below, line v intersects lines x and y, but line x in intersected at point B while line y (remarked in red) is intersected at point A (remarked in blue), and they are two different points, not the same.

<h2>[D] Line z intersects plane S at point C.</h2>

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As indicated in Figure D below, line z that has been remarked in yellow, intersects plane S at point C that has been remarked in blue.

<h2>[E]  Planes R and T intersect at line y.</h2>

True

As indicated in Figure E below, planes R and T intersect at line y. The line of intersection has been remarked in red.

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Remember
if ab=0, then assume that a and b equal 0

factor out common term
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set each to zero
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2x+5=0
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Answer:

Step-by-step explanation:

Find 3 ratios that are equivalent to the given ratio. 5/15

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