The answer to this would be 1/5.
hope this helps
2916, -972, 324, -108, 36, ...
<span>an = -4(-1)^n 3^(7 - n) </span>
<span>a6 = -4(-1)^6 3^(7 - 6) = -12 </span>
<span>The next number in the pattern is -12.</span>
Answer:
0, 5, 7, 11, ...
Step-by-step explanation:
1^2 = 1; 1 - 1 = 0; 0 is divisible by 6
5^2 = 25; 25 - 1 = 24; 24 is divisible by 6
7^2 = 49; 49 - 1 = 48; 48 is divisible by 6
11^2 = 121; 121 - 1 = 120; 120 is divisible by 6
Lateral area of the cone is given by:
LA=πr√(h²+r²)
where:
h=height
r=radius
Given that LA=287.5 yd² and r=(15/2) yds, then the height will be:
287.5=7.5π√(h²+7.5²)
solving for h we get:
(287.5/7.5π)²=h²+7.5²
thus
h²=(287.5/7.5π)²-7.5²
h²=63.1851597
To get the slant height we use Pythagorean theorem.
c²=a²+b²
a²=h², b²=7.5²
thus
c²=h²+7.5²
c²=63.1851597+56.25
c²=119.4351597
c=10.92864~10.9 yards
Answer:
y = -1/3x - 4
Step-by-step explanation:
slope is change in y over the change in x
-3 + 5 = 2
-3 - 3 = -6
slope is -2/6 or -1/3
y+3 = -1/3 (x + 3)
y + 3 = -1/3x -1
y = -1/3x - 4
