Answer:
A) 4:5
Step-by-step explanation:
A) 4:5
B) 4:9
C) 5:4
D) 5:9
If there are 4 sixth grade students, you can already cross off D because there is no 4 as an option. There are 5 seventh grade students, you can cross off B because there's no 5. So now it's down to 4:5 or 5:4. Since it wants the ration of sixth to seventh, it's 4 to 5.
Hence, the ratio is 4:5, answer A
Hope this helps :)
<em>Stay Cold, </em>
<em>Brook</em>
The discriminant for a quadratic polynomial gives you information about the polynomial's roots.
Given

, the discriminant is given by

.
There are three possible conclusions you can draw. If

, then the quadratic has two distinct real roots. If

, then there is one repeated real root. If

, then there are two complex (non-real) roots.
Since you found

, that means that

has two distinct real roots.
Pattern #1: (I think it should have started with 7, not 17)
7 -> 14 either added 7 or multiplied by 2
14 -> 8 subracted 6
8 -> 16 either added 8 or multplied by 2
16 -> 10 subtracted 6
10 -> 20 added 10 or multiplied by 2.
The pattern seems to be multiply by 2, then subtract 6, repeat.
14 -> 28
28 -> 22
Pattern #2:
11 -> 13 added 2
13 -> 16 added 3
16 -> 20 added 4
20 -> 25 added 5
25 -> 31 added 6
31 -> 38 added 7
to finish...
38 + 8 = 46
46 + 9 = 55
Given:
A cyclic quadrilateral and two opposite angles of it in the form of y.
To find:
The value of y.
Solution:
We know that, opposite angles of a cyclic quadrilateral are supplementary angles. So, their sum is
.
The measures of opposite angles of cyclic quadrilateral are y and 2y. So,


Divide both sides by 3.


Therefore, the value of y is
.
Answer:
The surface area of the cylinder shown is 785.398 (simplified 785).
Step-by-step explanation: