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polet [3.4K]
3 years ago
10

Tom, Brad, Angela, and Mona went to a theater. In how many different ways can they sit on four adjacent seats in a line in the t

heater?
Mathematics
1 answer:
vladimir2022 [97]3 years ago
5 0

Answer:

16

Step-by-step explanation:

4x4 = 16

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In the diagram below, the perimeter of the triangle is equal to the perimeter of the square. What is the length of a side of the
kondaur [170]

The perimeter of each is the sum of the lengths of its sides.

Triangle Perimeter = 16 + 4x-3 +3x = 7x+13

Square Perimeter = 2x +2x +2x +2x = 8x

If these are equal, you have

7x+13=8x\\\\13=x\qquad \mbox{subtract 7x}\\\\26=2x\qquad \mbox{multiply by 2}

The length of a side of the square is 26 units.

3 0
3 years ago
A truck can be rented from Company A for $90 a day plus a $0.20 per mile .Company B charges $20 a day plus $0.70 per mile to ren
Alex787 [66]

The number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

<h3>Rental cost</h3>

Let

  • Number of miles = x

Company A:

90 + 0.20x

Company B:

20 + 0.70x

  • Equate both rental cost

90 + 0.20x = 20 + 0.70x

90 - 20 = 0.70x - 0.20x

70 = 0.50x

  • Divide both sides by 0.50

x = 70/0.50

x = 140 miles

Therefore, the number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

Learn more about rental cost:

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8 0
2 years ago
What is the value of y? ​
alexira [117]

9514 1404 393

Answer:

  y = 8√3

Step-by-step explanation:

In the 30°-60°-90° "special" triangle, the ratio of sides lengths is ...

  1 : √3 : 2 = 8 : y : hypotenuse

In order for these ratios to be equal, we must have ...

  y = 8√3

__

If you want to solve this using your trig skills, you recognize that ...

  Tan = Opposite/Adjacent

  tan(30°) = 8/y

  y = 8/tan(30°) . . . . where tan(30°) = 1/√3

  y = 8√3

4 0
3 years ago
Please help FAST:
Alex_Xolod [135]

Answer:

car a, car b

Step-by-step explanation:

car a 2x + 2= 4x

car b 3x + 3= 9x

both cars 13x

8 0
3 years ago
Trigonometry (ASAP) (Urgent) ​
Olin [163]

Answer:

h = 1.403733341286

Step-by-step explanation:

17.

the triangle of sides ‘l’ and ‘l-h’ is a right angled triangle.

Then

\cos \theta =\frac{l-h}{l}

Then

l\cos \theta =l-h

Then

h=l-l\cos \theta

18.

For l = 6  and  θ = 40 :

h=l-l\cos \theta

  = 6-6cos(40)

  = 1.403733341286

8 0
2 years ago
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