The Area of Shaded region is equal to the difference in Area of rectangle and Area of triangle .
let's solve for area of rectangle :
Now, Area of Triangle :
So, the area of the shaded region in terms of x :
And since, Area of Shaded region = 44 cm²
By equating the area, we get
Value of x = 2
D. {3, √ 2, -√ 2}.
<span>The cubic factors- (x - 3)(x² - 2) = 0.</span>
Answer:
<h2>
The eleventh term of the sequence is 64</h2>
Step-by-step explanation:
The sequence given is an arithmetic sequence
14, 19, 24, …………., 264
The nth term of an arithmetic sequence is given as;
Tn = a+(n-1)d where;
a is the first term = 14
d is the common difference = 19-14=24-19 = 5
n is the number of terms = 11(since we are to look for the eleventh term of the sequence)
substituting the given values in the formula given;
T11 = 14+(11-1)*5
T11 = 14+10(5)
T11 = 14+50
T11 = 64
The eleventh term of the sequence is 64
Word Problem:
Take a number, <em>x</em>, double it and then take that result away from 10.
Expression:
Answer:
m=(r/n)+0.114r
Step-by-step explanation:
m=monthly payment
r=remaining amount
n=# of months remaining
