A circle is a curve sketched out by a point moving in a plane. The diameter of the circular poll is 12 inches. Thus, the correct option is A.
<h3>What is a circle?</h3>
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.
The area of a circle is given as πR², where r is the radius of the circle. Since the area of the pool is 113 sq. inches, therefore, the radius of the circle will be,
Area of pool = πR²
113 sq. inches. = πR²
113/π = R²
R = √35.9690
R = 5.9974 ≈ 6 inches
Now, since the diameter of a circle is twice the radius of the circle, therefore, the diameter of the circle will be,
Diameter of the circle = 2 × 6 inches = 12 inches
Hence, the diameter of the circular poll is 12 inches. Thus, the correct option is A.
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Answer:
B
Step-by-step explanation:
The formula for the area of a triangle is given as:
A = ½*base*height
A = ½*b*h
A = (bh)2
If we know the area (A) and the base, to find the height, the following would be done:
Divide both sides by b
A/b = h/2
Multiply both sides by 2
As we can see here, to find the base, we would divide the area by the vase, then multiply what we get by 2.
The unit rate for three dollars for 2 1/2 hours of work will be $1.2 using the concept of unitary method.
<h3>What is unitary method?</h3>
The unitary method is a technique that involves determining the value of a single unit and then calculating the value of the requisite number of units based on that value. The term unitary refers to a single or unique entity. As a result, the goal of this approach is to determine values in reference to a single unit. The unitary technique is a method for determining the value of any necessary quantity by first obtaining the value of the unit (one) quantity.
Here,
$3 for 2.5 hours of work,
1 hour will cost $x,
3/2.5=x/1
2.5x=3
x=$1.2
Using the unitary technique, the unit rate for three dollars for two and a half hours of labour will be $1.2.
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Answer:
the answer is (-4, 5)
Step-by-step explanation:
Let's use elimination by addition / subtraction:
-6x - 2y = 14
6x + 7y = 11
-------------------
5y = 25, so y = 5.
Substituting 5 for y in the 2nd equation, we get:
6x + 7(5) = 11, or:
6x + 35 = 11, or
6x = -24, or x = -4.
Thus, the answer is (-4, 5). Please double check to ensure you have copied down both system of equations and answer correctly.
Check: Is (-4, 5) a solution to this system?
Subst. -4 for x and 5 for y in the first equation:
-3(-4) - (5) = 7
12 - 5 = 7 YES
The length of the rectangle is 10 cm and perimeter of the rectangle is 32 cm.
Step-by-step explanation:
Given,
The area of rectangle = 60 sq cm
Width (b) of the rectangle = 6 cm
To find the length and perimeter of the rectangle.
Formula
The area of the rectangle = l×b
The perimeter of the rectangle = 2(l+b)
According to the problem,
l×b = 60
or, l×6 = 60
or, l = 60÷6 = 10
Length (l) = 10 cm
Perimeter = 2×(10+6) cm = 32 cm
