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lidiya [134]
3 years ago
9

Help me plz. The sides of a rectangular terrain are given by the expressions (x - 5) y

Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0

Area = (x - 5)(x – 7)

Area = x(x - 7) - 5(x - 7)

Area = x^2 -7x -5x + 35

Area = x^2 -12x + 35

algebraic expression that represents its area: x^2 -12x + 35

x^2 - 12x + 35 = 195

x^2 - 12x + 35 - 195 = 0

x^2 - 12x - 160 = 0

x^2 - 8x - 20x - 160 = 0

x (x + 8) - 20 (x + 8) = 0

(x + 8) (x - 20) = 0

(x + 8) = 0

(x - 20) = 0

x = - 8 (not a solution)

x = 20

hence,

length = x - 5

length = 20 - 5

length = 15 m

width = x - 7

width = 20 - 7

width = 13 m

perimeter = 2(13) + 2(15)

perimeter = 26 + 30

perimeter = 56 m²

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B)41.2

C)0.736

D)6.132

Step-by-step explanation:

B) 412/10=41.2

C)73.6/100=0.736

D)6132/1000=6.132

hope this helps

6 0
3 years ago
The light from a lamp casts a shadow of a man standing 10 feet away from the lamppost. The shadow is 7 feet long. The angle of e
emmasim [6.3K]

The lamppost is 20 feet long.

7 0
3 years ago
if 3 half-gallon containers of ice cream on sale for $6.69,what is the price for 2 half-gallon containers?​
kvv77 [185]
<h3>Answer:  $4.46</h3>

===================================================

Work Shown:

3 containers = 6.69 dollars

3/3 containers = 6.69/3 dollars .... divide both sides by 3

1 container = 2.23 dollars

2*(1 container) = 2*(2.23 dollars) ... multiply both sides by 2

2 containers = 4.46 dollars

A shortcut is to start with "3 containers = 6.69 dollars" and multiply both sides by 2/3

Each mention of "container" refers to a half-gallon container.

6 0
4 years ago
Which side lengths form a right triangle?
Tanya [424]

The side lengths that forms a right triangle are as follows:

  • 11, 13 √290
  • 7, 24, 25

<h3>What is a right angle triangle?</h3>

A right angle triangle has one of its angle as 90 degrees. The sides of the triangle follows Pythagoras  theorem.

Therefore,

c² = a² + b²

where

  • a and b are the legs
  • c is the hypotenuse

The hypotenuse is the longest side of the right triangle.

Therefore, the side lengths that forms a right triangle are as follows:

  • 11, 13 √290
  • 7, 24, 25

learn more on right triangle here: brainly.com/question/14593341

#SPJ1

5 0
2 years ago
The alphabet game costs $.25 to play. Before the game, 26 slips of paper with a different letter of the alphabet on it are put i
iragen [17]

Answer: 25/676

Step-by-step explanation:

Number of possible outcomes = 26

In other to win, one must draw must be either (A, E, I, O or U)

Therefore required drws to win = 5

First draw:

P(win) = Total required outcome / Total possible outcome

P(win) = 5/26

Second draw:

P(win) = Total required outcome / Total possible outcome

P(win) = 5/26

Therefore,

P(winning twice) = (5/26) × (5/26) = 25/676

3 0
4 years ago
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