The child tickles would be $1 while the adult ticket would be $2
Answer:
square root of 96 or 9.79
Step-by-step explanation:
a2+b2=c2
2square+b2=10square
4+b2=100
(4-4)+b2=(100-4)
b2=square root96 or 9.79
Answer:
The measurement of the angle subtended by an arc with a length of 5/2 pi meters is 149.542°
Step-by-step explanation:
Here, the diameter of the circle = 6 m
Diameter = 2 x RADIUS
So, radius = D / 2 = 6 / 2 = 3 m
Also, the length of the arc = (
) meters
Putting π = 3.14, we get
The length S of the arc =
or, S = 7.85 m
Let us assume the arc subtends angle Ф at the center of the circle.
⇒ S = r Ф
or, Ф = ![\frac{S}{r} = \frac{7.85}{3} = 2.61](https://tex.z-dn.net/?f=%5Cfrac%7BS%7D%7Br%7D%20%20%20%3D%20%5Cfrac%7B7.85%7D%7B3%7D%20%20%3D%20%202.61)
⇒Ф = 2.61 radians
Now, 1 Radian = 57.2958 Degrees
⇒ 2. 62 Radian = 2.61 x ( 57.2958 Degrees) = 149.542 °
or, Ф = 149.542°
Hence, the measurement of the angle subtended by an arc with a length of 5/2 pi meters is 149.542°
Check the picture below.
so, since we know the height of the triangle and its base is simply a + b, then
![\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=\stackrel{a}{9}+\stackrel{b}{3}\\ \qquad 12\\ h=3\sqrt{3} \end{cases}\implies A=\cfrac{1}{2}(12)(3\sqrt{3})\implies A=18\sqrt{3}](https://tex.z-dn.net/?f=%5Ctextit%7Barea%20of%20a%20triangle%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7B1%7D%7B2%7Dbh~~%20%5Cbegin%7Bcases%7D%20b%3D%5Cstackrel%7Ba%7D%7B9%7D%2B%5Cstackrel%7Bb%7D%7B3%7D%5C%5C%20%5Cqquad%2012%5C%5C%20h%3D3%5Csqrt%7B3%7D%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Ccfrac%7B1%7D%7B2%7D%2812%29%283%5Csqrt%7B3%7D%29%5Cimplies%20A%3D18%5Csqrt%7B3%7D)
Answer:
adds 4 each time
Step-by-step explanation: