Answer:
Therefore the approximate area of this clock face is 415.3 feet².
Step-by-step explanation:
Given:
Clock is of Circular Shape,
Diameter = 23 feet
![Radius =r =\dfrac{diameter}{2}=\dfrac{23}{2}=11.5\ feet](https://tex.z-dn.net/?f=Radius%20%3Dr%20%3D%5Cdfrac%7Bdiameter%7D%7B2%7D%3D%5Cdfrac%7B23%7D%7B2%7D%3D11.5%5C%20feet)
To Find :
Area of Clock Face = ?
Solution:
Area of Circle having Radius 'r' is given as,
![\textrm{Area of Circle}=\pi r^{2}](https://tex.z-dn.net/?f=%5Ctextrm%7BArea%20of%20Circle%7D%3D%5Cpi%20r%5E%7B2%7D)
Substituting the values we get
![\textrm{Area of Clock Face}=3.14\times (11.5)^{2}=415.265=415.3\ feet^{2}](https://tex.z-dn.net/?f=%5Ctextrm%7BArea%20of%20Clock%20Face%7D%3D3.14%5Ctimes%20%2811.5%29%5E%7B2%7D%3D415.265%3D415.3%5C%20feet%5E%7B2%7D)
Therefore the approximate area of this clock face is 415.3 feet².
Two in five chance of drawing a shape with all sides congruent
Answer:
Wth IS THIS 2nd grade QUESTION< IT"S LITERALLY ADDIZTION< WAHHH WAHHHW WAHAHHHWHAHAHAH
Step-by-step explanation:
Gonna cry?
Answer:
2a) -2
b) 8
Step-by-step explanation:
<u>Equation of a parabola in vertex form</u>
f(x) = a(x - h)² + k
where (h, k) is the vertex and the axis of symmetry is x = h
2 a)
Using the equation of a parabola in vertex form, a parabola with vertex (2, -6):
f(x) = a(x - 2)² - 6
If one of the x-axis intercepts is 6, then
f(6) = 0
⇒ a(6 - 2)² - 6 = 0
⇒ 16a - 6 = 0
⇒ 16a = 6
⇒ a = 6/16 = 3/8
So f(x) = 3/8(x - 2)² - 6
To find the other intercept, set f(x) = 0 and solve for x:
f(x) = 0
⇒ 3/8(x - 2)² - 6 = 0
⇒ 3/8(x - 2)² = 6
⇒ (x - 2)² = 16
⇒ x - 2 = ±4
⇒ x = 6, -2
Therefore, the other x-axis intercept is -2
b)
Using the equation of a parabola in vertex form, a parabola with vertex (2, -6):
f(x) = a(x - 2)² - 6
If one of the x-axis intercepts is -4, then
f(-4) = 0
⇒ a(-4 - 2)² - 6 = 0
⇒ 36a - 6 = 0
⇒ 36a = 6
⇒ a = 6/36 = 1/6
So f(x) = 1/6(x - 2)² - 6
To find the other intercept, set f(x) = 0 and solve for x:
f(x) = 0
⇒ 1/6(x - 2)² - 6 = 0
⇒ 1/6(x - 2)² = 6
⇒ (x - 2)² = 36
⇒ x - 2 = ±6
⇒ x = 8, -4
Therefore, the other x-axis intercept is 8
Answer:
0.35
Step-by-step explanation: