First you collect the like term then variable one side coefficient one side and constant
Answer:
D. 130 feet
Step-by-step explanation:
<u>Data</u>
- The area of a circular garden is 4,225 π square feet
The area of a circle is computed as follows:
Area of a circle = π*D²/4
where D refers to the diameter
Replacing with data:
4,225 π = π*D²/4
4,225 π/π *4 = D²
√16900 = D
130 ft = D
ANSWER(S):
15.51
EXPLANATION(S):
15.51 rounded to nearest tenth is 15
*more than one answer
Answer:
-3
Step-by-step explanation:
When multiplying a positive number with a negative number, the product will <u>always</u> be negative. First, let's solve the problem disregarding the negative sign.
Now that we know the product of 1/4 x 12 is 3, we can assume that the product of 1/4 x -12 is -3.
Answer:
6 ft
Step-by-step explanation:
Since the shape of the cables on the bridge are to open up, the standard equation of the parabola produced is given as:
(x - h)² = 4p(y - k)
Where (h, k) is the vertex and focus is at (h, k+p)
From the question, the point (0, 2) is the vertex and point (50, 27) lie on the parabola. Hence:
(x - 0)² = 4p(y - 2)
x² = 4p(y - 2).
Sinc the tower is 100 ft apart and 27 ft height, hence the point 100/2 = 50 ft and 27 ft lie on the parabola
To find p, use (50, 27)
50² = 4p(27 - 2)
2500 = 4p(25)
100p = 2500
p = 25
hence:
x² = 4(25)(y - 2)
x² = 100(y - 2)
At a point of 20 feet (i.e x = 20), y is the height of the cable, hence:
20²=100(y-2)
400 = 100y - 200
100y = 600
y = 6
The height is 6 ft at a point of 20 ft
