Answer:
y=105 for x
y=75
Step-by-step explanation:
2y-30=180 180 (straight line) 180-105=75
+30 +30
2y=210
/2 /2
Answer:
i)32C16
ii)1185408
<em><u>Explanation</u></em><em><u>:</u></em>
i)Total number of selected/eligible is 7+9+8+8=32
Total ways of selecting dance committee of 16 is
<em><u>3</u></em><em><u>2</u></em><em><u>C</u></em><em><u>1</u></em><em><u>6</u></em>
ii)Total ways of selecting 3 seniors from 8 is 8C3
and Total ways of selecting 6 juniors from 8 is 8C6
ways of selecting 2 sopho from 9 is 9C2
ways of selecting 5 freshman from 7 is 7C5
now, total way of selection come to be
8C3×8C6×9C2×7C5
=56×28×36×21
=1185408
✌️
Answer:
Let's call the numbers n and n + 2.
(n + 2)² - n²
= n² + 4n + 4 - n²
= 4n - 4
= 4(n - 1)
Answer:
Step-by-step explanation:
Assumptions
This isn't drawn exactly to scale I don't think. I also think you are intended to believe that the inscribed figure is a rectangle, but that is a huge assumption.
If I'm right and that is a rectangle then the diagonal of the rectangle is also the diameter of the circle.
A diameter is also the hypotenuse of the two triangles formed by cutting the rectangle in half.
So let's go on.
Step One
Find the diagonal / hypotenuse.
a = 8 in
b = 6 in
c = ?
c^2 = a^2 + b^2
c^2 = 8^2 + 6^2
c^2 = 64 + 36
sqrt(c^2) = sqrt(100)
c = 10
Step 2
Find the radius of the circle
2*r = d
d = 10
2*r = 10
r = 10/2
r = 5
Step two
Find the circumference.
Circumference = 2*pi * r
Circumference = 2* pi * 5
Circumference = 10*pi <<<< Answer
That is one possibility for an answer
The other is to use 3.14 for pi
Circumference = 2*5*3.14 = 31.4 <<<< Answer