Answer:
Length = 4 cm
Breadth = 3 cm
Step-by-step explanation:
Its Simple, We use The Pythagoreas theorem,
We know that the Hypotenuse of a triangle squared is equal to the sum of the legs square,
So A^2 + B^2 = C^2
substitute the values,
3^2 + B^2 = 5^2
9 + B^2 = 25.
Subtract 9 from both sides
B^2 = 25 - 9
B^2 = 16
B = sqrt[16] = 4
I am assuming that you are not asking for an actual construction of a rectangle on paper, but if you are, just ask
The answer is geometric.
Hope this helps !
Answer:
y ≥ 4x
y ≤ 8.75 –1/2πx^2
Step-by-step explanation:
Because the diameters of the gravel bases added together cannot exceed the width of the pen, we get the inequality 2x + 2x ≤ y . Rewriting, we get y ≥ 4x as the first inequality in the system.
Next, write an inequality for cost.
To write the expression for the cost of the fencing, find the perimeter of the rectangle, and multiply the perimeter by the cost per foot of fencing. The pen is a rectangle, so the perimeter is 2(10) + 2(y), or 20 + 2y. Multiply the cost of the fencing material ($4.00 per foot) by the perimeter of the fence to get 4(20 + 2y).
Now, write an expression for the gravel bases for the circular food containers. Because A = r2 and the cost of the gravel is $2.00 per square foot, multiply the cost of the material by the sum of these areas to get 2(x2) + 2(x2).
The total cost must be less than or equal to $150. So, we can say that 4(20 + 2y) + 2(x2) + 2(x2) ≤ 150. After simplifying and solving for y: y ≤ 8.75 – x2.
So, this is the system:
y ≥ 4x
y ≤ 8.75 –1/2πx^2
Answer:
A
Step-by-step explanation:
All you have to do is simplify all of them and put them in order from least to greatest.
Answer:
y = -x + 3
Step-by-step explanation:
The equation of a line with slope equal to -1 and y-intercept equal to 3 has the form
y = mx + b. With m = -1 and b = 3, we get: y = -x + 3
Think about this problem, please. Is there any way in which you could be clearer about what you wanted to learn?