Answer:
I'm pretty sure the peremiter is 466 ft.
Answer:
-2x^2 + 5x - 8
Step-by-step explanation:
The answer is 80 square meters.
The square area is expressed as:
A = a²,
where A is the area of the square, and a is the side of the square.
The rectangle area is expressed as:
A₁ = a₁ · b₁,
where A₁ is the area of the rectangle, and a₁ and b₁ are the sides of the rectangle.
After renovations, square garden becomes rectangular.
One side is doubled in length:
a₁ = 2a
The other side is decreased by three meters.
b₁ = a - 3
The new area is 25% than the original square garden:
A₁ = A + 25%A =
= A + 25/100·A
= A + 1/25·A
= a² + 1/25·a²
= <span>a² + 0.25·a²
</span> = 1.25·a²
If the starting equation is:
A₁ = a₁ · b₁
Thus, the equation is:
1.25a² = 2a·(<span>a - 3)
</span>1.25a² = 2a · a - 2a · 3
1.25a² = 2a² - 6a
<span>Therefore, the equation that could be used to determine the length of a side of the original square garden is:
</span><u>2a² - 6a = </u><span><u>1.25a²</u></span>
Now, we will solve the equation:
2a² - 6a = 1.25a²
2a² - 1.25a² - 6a = 0
0.75a² - 6a = 0
⇒ a(0.75a - 6) = 0
From here, one of the multiplier must be zero - either a or (0.75a - 6). Since a could not be zero, (0.75a - 6) is:
0.75a - 6 = 0
0.75a = 6
a = 6 ÷ 0.75
a = 8
If the side of the square is 8, then the area of the rectangle is
A₁ = 1.25 · a²
A₁ = 1.25 ·8²
A₁ = 1.25 · 64
A₁ = 80
Therefore, the area of the new rectangle garden is 80 square meters.
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let's first establish that the shape is a triangle meaning that the following formula is applicable as displayed below:
Angle sum of a triangle = 180°
As well as this, the shape is an equilateral triangle meaning that each angle of the triangle is equivalent in value. Also, the following formula is also applicable as displayed below:
Each angle of an equilateral triangle = the same value
Therefore:
Each angle of an equilateral triangle = angle sum of a triangle ÷ no. of angles in a triangle = 180° ÷ 3 = 60°
Based on this, the following is applicable:
2x - 4 = 60°
2x = 60 + 4
2x = 64
x = 64 / 2
x = 32°
ANSWER:
Therefore, the answer is:
The value of ( x ) is 32°
Please mark as brainliest if you found this helpful! :)
Thank you <3
4x+x-2x>4-1-6
5x-2x>4-7
3x>-3
x>-1
(-1, positive infinity]
sadly my phone doesn't have an infinity sign.
it would look like the picture.
