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Fed [463]
3 years ago
9

17) The measures of two sides of a triangle are (2x + 3y) and (5x – 2y). If the perimeter

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
4 0

Answer:

  5x +4y

Step-by-step explanation:

The perimeter of a triangle is the sum of side lengths. That fact can be used to find z, the length of the third side.

  (2x +3y) +(5x -2y) +z = 12x +5y . . . . sum of sides is perimeter

  z = (12x +5y) -(7x +y) . . . . . . . . . . . . subtract (7x+y) from both sides

  z = 5x +4y . . . . . . . . . collect terms; the length of the third side

The third side of the triangle is (5x +4y).

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Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles will he need? Dmitri w
marta [7]

The number of tiles needed to cover the surface area of the box excluding the bottom is: 1,046 tiles.

<h3>What is the Surface Area of a Box?</h3>

The surface area of a box is the area surrounding all its faces. A box has 6 rectangular faces. Therefore, the total surface area of the box equals the sum of all 6 rectangular faces.

<h3>What is the Surface Area of a Box?</h3>

SA = 2(lw + lh + hw), where:

  • l = length
  • w = width
  • h = height of the box

The image attached below shows the box Dmitri wants to cover. Since the bottom of the box would be excluded, therefore:

The surface area to be covered = surface area of the box - area of the bottom rectangular face

The surface area to be covered = 2(lw + lh + hw) - (l)(w)

l = 26

w = 15

h = 8

Substitute

The surface area to be covered = 2(l×w + lh + hw) - (l)(w) = 2·(15·26+8·26+8·15) - (26)(15) =

The surface area to be covered = 1436 - 390 = 1,046 cm

Area of one tile = 1 cm square

Number of tiles needed = 1,046/1

Number of tiles needed = 1,046 tiles.

Learn more about Surface Area of a Box on:

brainly.com/question/26161002

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7 0
1 year ago
Find the value of x, please help!!!!
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Please help me I really need it in the next 2 mins first and correct answer gets brainly.est
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3 years ago
Samantha threw an apple out of a window from the tenth floor of her apartment building.The equation y=-16t^2+120 can be used to
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If the apple is on the ground, then the height y is 0. To find t, just plug in 0 for y:
0=-16t^{2}+120
-120=-16t^{2}
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So the answer is 2.74 seconds.

Note that taking the square root of 7.5, mathematically, gives you both 2.74 and -2.74. But because we know that time did not go backwards, only the positive value for t was considered.
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