Answer:
let 'a' be the first term, 'd' be the common difference between all the terms of the sequence
Step-by-step explanation:
therefore, a = 3,
and, d = -9 -3
= -12
hence the 14th term would be,
=> a + 13d
=> 3 + 13( -12 )
=> 3 - 156
=> - 153
Given:
The shaded sector above covers
of the circle.
Radius of the circle = 3 cm
To find:
The area of the sector in terms of π.
Solution:
The area of a circle is

Substituting
, we get


It is given that the shaded sector above covers
of the circle.
The area of shaded sector 


Therefore, the area of shaded sector is 3π sq. cm.
Answer:
29,035.43 meters
Step-by-step explanation:
What we know:
- The elevation of the shore of the Dead Sea is -1,344.99 meters.
- The summit of Mt. Everest is 30,380.42 meters above the Dead Sea.
So, we just add the two values.
30,380.42 + (-1,344.99)
We can rewrite this as 30,380.42 - 1,344.99 since adding a negative is the same as subtracting that number.
And we get 29,035.43 meters as the elevation or height of Mt. Everest.
You would multiply by the reciprocal (flip the fraction)
5/3 * 24 = 40
b = 40
So you make your equation 4x+20+40=180.
Add like terms and get 4x+60=180.
Subtract 60 from both sides, get 4x=120.
Divide boths sides by 4, get your answer of x=30.
Hope this helps