Step-by-step explanation:
m = 14, n = 12.5
m<L = (5m + 36)° = (5(14) + 36)°
L = 106°
m<p= (6n-1°)=(6x12.5-1°)
p=74°
m<Q = (4m + 50)° = (4(14) + 50)°
Q = 106°
k=360°-(106°+74+°106°)=360°-286°
k=74°
The sum of the interior angle of a parallelogram is 360°
The opposite side of a parallelogram are equal.
Answer:
25 ft
Step-by-step explanation:
The area of this landing pad is 1,962.5 ft², which equals πr².
We solve this equation for r²:
1962.5 ft²
r² = ----------------- = 625 ft²
3.14
Taking the square root of both sides, we get:
r = √(625 ft²) = 25 ft
The radius is 25 ft.
Answer:
She must attend 6 or more classes in order to be in the recital
Step-by-step explanation:
must attend > .15(40)
must attend > 6
Answer:
-10.2n - 1
Step-by-step explanation:
We have two expressions in variable n and we have to add the two expressions.
An important thing to note is that only like terms can be added. i.e. the term with "n" can only be added or subtracted to the term with "n". Similarly a constant can only be added or subtracted to a constant.
Thus, the two given expressions add up to -10.2n - 1
Answer:
50
Step-by-step explanation:
42/n³∑k²+12/n²∑k+30/n∑1
=42/n³[n(n+1)(2n+1)/6]+12/n²[n(n+1)/2]+30/n [n]
=7n(n+1)(2n+1)/n³+6n(n+1)/n²+30
=7(n+1)(2n+1)/n²+6(n+1)/n+30
=[7(2n²+3n+1)+6(n²+n)+30n²]/n²
=[14n²+21n+7+6n²+6n+30n²]/n²
=[50n²+27n+7]/n²
=[50+27/n+7/n²]
→50 as n→∞
because 1/n,1/n²→0 as n→∞
