Answer:
20%
Step-by-step explanation:
Value increased in 5 years = £95000 - £80000 = £5000
Value increase in 1 year =5000/5 = 1000
Increase % = (1000/5000 ) * 100 = (1/5) *100 = 20%
HI Sydney!
Question:
Solve 5^2 - 4 x 6 + 11
Solution:
Remember to follow PEMDAS,
= 5^2 - 4 x 6 + 11
= 25 - 4 x 6 + 11
= 25 - 24 + 11
= 1 + 11
= 12
Answer: 12
Answer:
Radius of the circle is <em>15 inches.</em>
<em></em>
Step-by-step explanation:
Relation between length of arc, radius and the angle subtended by the arc on center is:
![\theta = \dfrac{l}{r} ..... (1)](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%5Cdfrac%7Bl%7D%7Br%7D%20.....%20%281%29)
where
is the central angle in radians subtended by arc
is the length of arc
is the radius of arc
We are Given the following details:
![l = \dfrac{5\pi}{4}\ inch](https://tex.z-dn.net/?f=l%20%3D%20%5Cdfrac%7B5%5Cpi%7D%7B4%7D%5C%20inch)
![\theta = 15^\circ](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2015%5E%5Ccirc)
We know that ![\pi \ radians = 180 ^\circ](https://tex.z-dn.net/?f=%5Cpi%20%5C%20radians%20%3D%20180%20%5E%5Ccirc)
Converting
to radians:
radians
Putting the values of
and
to find the value of ![r](https://tex.z-dn.net/?f=r)
![\dfrac{\pi}{180} \times 15 = \dfrac{5\pi}{4r}\\\Rightarrow r = \dfrac{45}{3} \\\Rightarrow r = 15 \ inches](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cpi%7D%7B180%7D%20%5Ctimes%2015%20%3D%20%5Cdfrac%7B5%5Cpi%7D%7B4r%7D%5C%5C%5CRightarrow%20r%20%3D%20%5Cdfrac%7B45%7D%7B3%7D%20%5C%5C%5CRightarrow%20r%20%3D%2015%20%5C%20inches)
Hence, Radius of the circle is <em>15 inches.</em>
Answer:
1. 2/5s + 8
2. -24
Step-by-step explanation:
1.
2/5(s + 20)
(2/5)(s) + (2/5)(20)
2/5s + 8
2.
-6(12 - 8)
(-6)(12) - (-6)(-8)
-72 + 48
-24
Make x the subject means you need to solve for x
y = ax^2 solve for x
divide both side by a
y/a = ax^2/a
simplify
y/a = x^2
so
x = square root (y/a)