$2.25x+$3.50=$35
so, $35-$3.50=$31.50
Then you divide $31.50 by $2.25
That equals 14
So, x=14
It must be noted that the area of the square is calculated through the equation,
A = s²
where A is area and s is the measure of one side of the square.
To determine the measure of one side of the square, we simply have to get the square root of the area,
s = √A
Substituting the known value,
s = √75 ft² = 5√3 ft ≈ 8.66 cm
Thus, the answer to this question is approximately 8.66 cm.
Step-by-step explanation:
The equation of a parabola with focus at (h, k) and the directrix y = p is given by the following formula:
(y - k)^2 = 4 * f * (x - h)
In this case, the focus is at the origin (0, 0) and the directrix is the line y = -1.3, so the equation representing the cross section of the reflector is:
y^2 = 4 * f * x
= 4 * (-1.3) * x
= -5.2x
The depth of the reflector is the distance from the vertex to the directrix. In this case, the vertex is at the origin, so the depth is simply the distance from the origin to the line y = -1.3. Since the directrix is a horizontal line, this distance is simply the absolute value of the y-coordinate of the line, which is 1.3 inches. Therefore, the depth of the reflector is approximately 1.3 inches.
Given:
θ = 60°
Radius = 8 in
To find:
The area of the shaded segment.
Solution:
Vertically opposite angles are congruent.
Angle for the shaded segment = 60°
<u>Area of the sector:</u>
A = 33.5 in²
Area of the sector = 33.5 in²
<u>Area of triangle:</u>
A = 32 in²
Area of the triangle = 32 in²
Area of segment = Area of sector - Area of triangle
= 33.5 in² - 32 in²
= 1.5 in²
The area of the shaded segment is 1.5 square inches.
Answer:
x^6y^3
Step-by-step explanation:
<u>Given polynomial:</u>
<u>Get prime factors:</u>
- 2*2*2*x*x*x*x*x*x*y*y*y*y*y - 3*x*x*x*x*x*x*x*x*y*y*y
<u>Common factors of the two terms:</u>
- x*x*x*x*x*x*y*y*y = x^6y^3
<u>So</u>
x^6y^3 is the GCF of this polynomial
