The radius of the circle is given to be r = 14.5
Let the center be O. So OB is the radius = 14.5
We can draw a triangle as shown in the image below. We have a right angled triangle. We know the hypotenuse and the base, we need to find the perpendicular side. This can be done using the Pythagorean theorem.
So, we can write:
![(14.5)^{2}=10^{2}+OA^{2} \\ \\ OA^{2}=110.25 \\ \\ OA=10.5](https://tex.z-dn.net/?f=%2814.5%29%5E%7B2%7D%3D10%5E%7B2%7D%2BOA%5E%7B2%7D%20%5C%5C%20%20%5C%5C%20%0AOA%5E%7B2%7D%3D110.25%20%5C%5C%20%20%5C%5C%20%0AOA%3D10.5%20%20%20%20)
Thus, the measure of OA = 10.5
OB = OA + AB
14.5 = 10.5 + AB
⇒
AB = 4
Answer:
C = 12.56m
Step-by-step explanation:
circumference is the distance around the outside of a circle. The r stands for radius, half way across, from the center(thats the little line on the diagram) "d" stands for diameter. That would be double the radius, bc its all the way across the circle through the center. The formula to find the CIRCUMFERENCE is given, C=pi × d
They told you to use 3.14 for pi. And also the radius is 2, so the diameter is 4
C = pi × d
C = 3.14 × 4
C = 12.56 meters
Answer:
Step-by-step explanation:
a).
= ![\frac{5}{3}\pm \frac{\sqrt{-4}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D%5Cpm%20%5Cfrac%7B%5Csqrt%7B-4%7D%7D%7B3%7D)
= ![\frac{5}{3}\pm\frac{2\sqrt{(-1)} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D%5Cpm%5Cfrac%7B2%5Csqrt%7B%28-1%29%7D%20%7D%7B3%7D)
=
[Since, i =
]
b).
= ![\frac{10}{2}\pm \frac{\sqrt{-16}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B2%7D%5Cpm%20%5Cfrac%7B%5Csqrt%7B-16%7D%7D%7B2%7D)
= ![5\pm \frac{4\sqrt{-1}}{2}](https://tex.z-dn.net/?f=5%5Cpm%20%5Cfrac%7B4%5Csqrt%7B-1%7D%7D%7B2%7D)
= 5 ± 2i [Since, i =
]
c).
= ![-\frac{3}{6}\pm \frac{\sqrt{-144}}{6}](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B6%7D%5Cpm%20%5Cfrac%7B%5Csqrt%7B-144%7D%7D%7B6%7D)
= ![-\frac{3}{6}\pm \frac{12\sqrt{-1}}{6}](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B6%7D%5Cpm%20%5Cfrac%7B12%5Csqrt%7B-1%7D%7D%7B6%7D)
= ![-\frac{1}{2}\pm 2\sqrt{-1}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7D%5Cpm%202%5Csqrt%7B-1%7D)
=
[Since, i =
]
Answer:
So, to 1 d.p. 7 is about 23% out of 30. (7 of 30=23%)
Step-by-step explanation:
7/30 x 100 =23.3333333333% or 70/3%.