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
3/10+ 5/8
First find a common denominator
multiply top and bottom the same
12/40 +25/40
add
37/40
Answer:
The amount paid by each house is $11.25
Step-by-step explanation:
Let the amount paid by each house is $K
Number of neighbors you worked for on Friday = 4
So the amount paid by all of them = 4K
Number of neighbors you worked for on Saturday = 5,
similarly amount paid = 5K
Number of neighbors you worked for on Sunday = 3,
here amount paid = 3K
Also, in total the amount paid = $135
So, Amount paid on {Friday + Saturday +Sunday} = Total Amount
or, 5K + 4K + 3K = $135
or, 12K = 135
⇒K =135/12 = $11.25
So, the amount paid by each house is $11.25
Add them up and divide by 4 and it says round up. your answer is B
A.

The denominator of the second number goes down one because you aren't replacing the initial marble pulled, making the amount of marbles in the bag go down, but not affecting the white count because you pulled a purple marble.
b.

The same can be said about the denominator for this problem, but not the numerator. The numerator must go down one number as well, because you already chose one white marble, taking one of the white marbles out of the bag, leaving you with one solitary, white marble.
c.
Chance of selecting two purple marbles:
<u />

Chance of selecting two white marbles:

<u>Chance of selecting two purple</u> vs. <em>Chance of Selecting 2 white:</em>
<u>0.583</u>><em>0.278</em>.
It is more likely to select 2 purple marbles.
Hope this helps!