Answer:
∠ ABC = 53.5°
Step-by-step explanation:
The inscribed angle ABC is half the measure of the intercepted arc AC
∠ ABC = 
× 107° = 53.5°
Answer:
$4.02
Step-by-step explanation:
since he bought the same meal for 3 days, that means he payed the same amount every day for 3 days. the total is $12.06, so if u divide the total by 3, you will get how much he payed for one meal.
Answer:
Below in bold
Step-by-step explanation:
The sequence is:
3, x, y, 18
If this is an A P then
x - 3 = y - x
2x - y = 3 (A) and
y - x = 18 - y
2y - x = 18 (B)
Multiply (A) by 2:
4x - 2y = 6 (C)
Adding B and C:
3x = 24
x = 8.
and
2y - 8 = 18
2y = 26
y = 13.
So x = 8 and y = 13.
b) ar + ar^2 = 6ar^3 where a = first term and r = common ratio
Divide by a:
r + r^2 = 6r^3
6r^3 - r^2 - r = 0
r(6r^2 - r - 1) = 0
r(3r + 1)(2r - 1) = 0
So the 2 possible values of r
= -1/3 and 1/2.
i) The common ratio is positive so it must be 1/2.
Second term ar = 8
1/2 a = 8
a = 16.
So the first 6 terms are:
16, 8, 4, 2, 1, 1/2.
Let the no. of stars one can expect to see at Bryce Canyon be x.
Given that : No. of stars visible in the night sky = 2000
Also, given that, it is 4/15 of x.
Now, we have
∴ You can expect to see 7,500 stars at Bryce Canyon.
