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:
<u>w^2+9w+20</u>
Step-by-step explanation:
Apply the FOIL METHOD: (a + b) (c + d) = ac + ad + bc + bd
a = 5
b = w
c = w
d = 4
= 5w + 5 x 4 + ww + w x 4
= 5w + 5 x 4 + ww + 4w
Simplify 5w + 5 x 4 + ww + 4w:
<u>w^2 + 9w + 20</u>
32yd is longer as 32yd is equivalent to 96ft
Step-by-step explanation:
-3x² + 2y² + 5xy -2y + 5x² - 3y²
= -3x² + 5x² +2y² -3y² + 5xy -2y
= 2x² - y² +5xy -2y
2 terms
