To solve this problem, you must follow the proccedure that is shown below:
1. You need to apply the formula for calculate the perimeter of a circle, which is:
P=2πr
P is the perimeter of the circle (P=9.42 feet).
r is the radius of the circle.
2. Now, you must clear the radius "r" from P=2πr, as below:
P=2πr
r=P/2π
3. When you substitute the values, you obtain:
r=P/2π
r=9.42 feet/2π
r=1.49 feet
4. Now, you can calculate the diameter (D):
D=2r
D=2(1.49 feet)
D=2.98 feet
<span>
What's the diameter of the wheel?
The answer is: </span><span>2.98 feet</span>
Answer:
Step-by-step explanation:
The formula of an area of a circle:
<em>r</em> - radius
We have the endpoints of a diameter of a circle.
The formula of a distance between two points:
Substitute the coordinates of the given points A(3, 4) and B(10, 4):
Therefore we have the length of the diameter: <em>d = 7</em>
We know: <em>d = 2r.</em> Therefore
Substitute to the formula of an area:
<em>There is no such answer in the answers to choose.</em>
<em>Apparently you have some error in the coordinates of the endpoints.</em>
Answer:
k can either be
12
or
−
12
.
Step-by-step explanation:
Consider the equation
0=x2+4x+4
. We can solve this by factoring as a perfect square trinomial, so
0=(x+2)2→x=−2 and−2
. Hence, there will be two identical solutions.
The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have
2 equal, or 1
distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:
k2−(4×1×36)=0
k2−144=0
(k+12)(k−12)=0
k=±12
Answer:
x=35
Angle measurements of the triangle from least to greatest:
35,40,105
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees.
So we know that 40+3x+x=180.
First step is to combine the like terms on the left hand side:
40+4x=180
Second step is to subtract 40 on both sides.
4x=140
Third step is to divide both sides by 4:
x=35
The angle that is given is the one that is 40 degrees.
So the angle whose measurement is x is really 35 degrees.
The angle whose measurement is 3x is real 3(35)=105 degrees.
In order from least to greatest we have:
35,40,105
