$3000/40 = $75.00 per uniform.
$75.00 - $40.00 = $35.00 difference
Answer:
Isosceles Triangle
Step-by-step explanation:
Triangle ABC has vertices A(-5, -1), B(5, -1), and C(0, -4). Is it scalene, isosceles or equilateral?
We solve this question using vertices formula:
√(x2 - x1)² + (y2 - y1)² when given vertices: (x1, y1) and (x2 , y2)
For Side AB
A(-5, -1), B(5, -1)
AB = √(5 - (-5))² + (-1 -(-1))²
AB= √(5 + 5)² + (-1 + 1)²
AB = √10² + 0
AB = √100
AB = 10 units
For Side BC
B(5, -1), C(0, -4)
BC = √(0 - 5)² + (-4 -(-1))²
BC = √-5² + (-4 + 1)²
BC = √25 + -3²
BC = √25 + 9
BC = √34
For Side AC
A(-5, -1), C(0, -4).
AC = √(0 - (-5))² + (-4 - (- 1)²
AC = √5² + -3²
AC = √25 + 9
AC = √34
Therefore this triangle is an isosceles triangle because 2 of its sides (AC and BC ) are equal to one another
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.
Answer:
0
Step-by-step explanation:
Given:
(-3, 2)
(4, 2)
Required:
Slope that passes through the two points given.
Solution:
Slope = 
Let,
Plug in the values into the formula
Slope = 
Answer:
3.4 will be the answer trust me it took me awhile too.
Step-by-step explanation:
