Answer:
25 degrees
Step-by-step explanation:
2x plus 310 degrees add up to a full circle: 360 degrees.
Therefore, 2x = 360 - 310, or 2x = 50, or x = 25 degrees
Find the next two terms in the given sequence, then write it in recursive form. A.) {7,12,17,22,27,...} B.) { 3,7,15,31,63,...}
iren [92.7K]
Answer:
A) a_n = 5n + 2
B) a_n = (2^(n + 1)) - 1
Step-by-step explanation:
A) The sequence is given as;
{7,12,17,22,27,...}
The differences are:
5,5,5,5.
This is an arithmetic sequence following the formula;
a_n = a_1 + (n - 1)d
d is 5
Thus;
a_n = a_1 + (n - 1)5
Now, a_1 = 7. Thus;
a_n = 7 + 5n - 5
a_n = 5n + 2
B) The sequence is given as;
{ 3,7,15,31,63,...}
Now, let's write out the differences of this sequence:
Differences are:
4, 8, 16, 32
This shows that it is a geometric sequence with a common ratio of 2.
In the given sequence, a_1 = 3 and a_2 = 7 and a_3 = 15
Thus, a_2 = 2a_1 + 1
Also, a_(2 + 1) = 2a_2 + 1
Combining both equations, we can deduce that: a_(n + 1) = 2a_n + 1
Thus; a_n can be expressed as:
a_n = (2^(n + 1)) - 1
Answer:
bae of 44 yds and a height of 28 yds
Step-by-step explanation:
11x7 = 88 yd^2 = area of small triangle
616/88 = 16 so the larger triangle area is 16 times larger than the smaller triangle.
The area of a triangle is not proportional to it's dimensions. An increase of 16 times the area only increases the dimensions by 4 times.
larger triangle dimensions are 11 x 4 = 44 and 7 x 4 = 28
Answer:
14.4 km/h
Step-by-step explanation:
When finding km/h given m/s always multiply by 3.6
When finding m/s given km/h do the vice versa (divide by 3.6)
So.. 4km/h x 3.6 = <u>14.4 km/h </u>
