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:
2 rides per hour
Step-by-step explanation:
she rode 18 rides in 9 hours
therefore rate at which she rides = 18/9 = 2
3 less: -3
difference of 16p and 15p: 16p - 15p = p
is equal to: =
the difference of 3 and 1/2: 3 - 1/2 = 2.5
p - 3 = 2.5
Isolate the p. Note the equal sign. What you do to one side, you do to the other. Add 3 to both sides
p - 3 (+3) = 2.5 (+3)
p = 2.5 + 3
p = 5.5
5.5 is your answer for p
hope this helps
Answer:The slope is 2 .
Step-by-step explanation: mark branlest if right!
Answer:
-4/3
Step-by-step explanation:
(-4 + 2) • (-5 + 3)/-3
=> -2 • (-2)/-3
=> -2 • 2/3
=> -4/3
Therefore, -4/3 is your answer.
Hoped this helped.