Answer:
The formula for calculating the width of the window is

Step-by-step explanation:
<u><em>The question in English is</em></u>
A rectangular window is l meters wide and h meters high, with a perimeter of 6 meters and an area of 2m². What is the formula for calculating the width of the window?
we know that
The perimeter of the window is equal to

we have

so

simplify
isolate the variable l
----> equation A
The area of the window is equal to

we have

so
----> equation B
substitute equation A in equation B
solve for w

The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
---> formula for calculating the width of the window
Answer:
78 pounds
Step-by-step explanation:
Let's say Yolanda makes a pounds of Type A coffee and b pounds of Type B coffee. Since the total number of pounds is 130, we can write the equation:
a + b = 130
We know the cost of Type A coffee is $5.20/lb and the cost of Type B coffee is $4.05/lb, so since the total cost is $586.30, we can write:
5.20a + 4.05b = 586.30
We can now solve the system of equations:
a + b = 130
5.20a + 4.05b = 586.30
Manipulate the first equation by subtracting b from both sides:
a + b = 130
a = 130 - b
Substitute 130 - b for a in the second equation:
5.20a + 4.05b = 586.30
5.20 * (130 - b) + 4.05b = 586.30
676 - 5.20b + 4.05b = 586.30
Move the terms with b to one side:
1.15b = 89.70
b = 78
Thus, Yolanda used 78 pounds of Type B coffee.
<em>~ an aesthetics lover</em>
Choose the one on the very top.
Answer:
916.1 cm^3
Step-by-step explanation:
1) find the radius of the cylinder:
radius = dimater / 2 = 7,3 / 2 = 3.65 cm
2) find the base area of the cylinder:
base area = radius^2 x 3.14 = 3.65^2 x 3.14 = 41.83265 cm^2
3) find the height of the cylinder:
height = 7.3 x 3 = 21.9 cm
4) find the volume
V = base area x height = 41.83265 x 21.9 = 916.135035 cm^3
5) round to nearest tenth:
916. 1 cm^3
Answer:
(x,y)=(-1,-4)
Step-by-step explanation:
-4x + y = 0
+4x +4x
y=4x
-5x - 2y = 13
+5x +5x
-2y = 5x+13
-2(4x) = 5x+13
-8x=5x+13
-5x -5x
-13x/-13=13/-13
x=-1
Thus:
y=4x
y=4(-1)
y=-4