Answer:
2232.36m
Explanation:
since the perimeter of two semicircles adds up to that of one circle, the perimeter of the track would be the perimeter of the circle + the length of the rectangle.
we can find the perimeter of the circle using the formula of π × diameter, which would be:
π × diameter
= 3.14 × 74
= 232.36
now, we can add this to the given length of the rectangle:
232.36 + 1000 + 1000 = 2232.36
thus, the perimeter of the track is <u>2232.36m</u>.
i hope this helps! :D
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:
18.75=p
s=14.06
b=2.34
Step-by-step explanation:
37.75=b+s+p
-4
33.75=b+s+p
s=3/4p
b=1/6s
33.75=1/6(3/4p)+3/4p+p
33.75=3/20p+3/4p+p
(33.75=18/20p+p)20
675=18p+p)/18
37.50=2p)/2
18.75=p
s=3/4p
3/4(18.75)
s=14.06
b=1/6s
1/6(14.06)
b=2.34
37.75-4=18.75+14.06+2.34=35.15
im missing 50 cents somewhere its wrong but close i think sorry
The answer & explanation for this question is given in the attachment below.
