Hello,
Penny==>a*10 (a is an integer)
Kenny==>b*18 (b is an integer)
a*10=b*18==>a=9*b/5 ==>b=5+n*5
a=9*(5+5*n)/5=9*(1+n)=9+9n
If n=0 then a=9 and b=5 :Number od cards: 9*10=10, 5*18=90
if n=1 then a=19 and b=10: Number of cards: 19*10=190>100 to exclude.
So number of cards=90
Answer:
.6601
Step-by-step explanation:
to find u, which we assume is an angle of course, we can take arctan of both sides. so arctan(-7.721) = -1.4420. this angle is in quadrant 4, but it is not in the range. In this instance you just go around the circle again, or add 2pi, which gets us 4.8412. You can check and you get the same answer if you take the tangent of either.
So now we have a number in the appropriate range in the appropriate quadrant. That means we have the correct angle. The question asks what is sine of that angle cut in half. so sin(4.8412/2), which gets you your answer. let em know if something didn't make sense.
This is what I got for it if it helps
Circumference of a circle having radius of 27 yard can be found using the formula, π = 2(Area of Circle)/r, which is C = 169.6 yd
<h3>What is the Circumference of a Circle?</h3>
- Circumference of a circle is the distance round the circle.
- Circumference = Perimeter
- Circumference of a circle without using π = 2(Area of Circle)/r.
Given:
radius of circle = 27 yd
Thus:
Area = πr² = π(27)²
Area = 2,290.2 yd²
Circumference of a circle without using π = 2(2,290.2)/27
= 169.6 yd.
Learn more about Circumference of a Circle on:
brainly.com/question/16703642
