Answer:
101.07ft^2
Step-by-step explanation:
Given data
radius= 5ft
h= 9ft
When the radius and height are both multiplied by 1/2
radius= 5/2ft = 2.5ft
height= 9/2 ft= 4.5ft
The expression for the surface area of the cone is
A=πr(r+√h^2+r^2)
Substiute
A= 3.142*2.5(2.5√4.5^2+2.5^2)
A= 7.855(2.5√20.25+6.25)
A= 7.855(2.5√26.5)
A= 7.855(2.5*5.147)
A=101.07 ft^2
Hence the surface area is 101.07ft^2
29.82, i did that by dividing 127.8 by 60 and i got 2.13 multiply that by 14 and boom there u go. i think :l
A circle’s standard form of an equation is:
(x-h)^2 + (y-k)^2 = radius^2
Plug in h and k immediately because that is something you automatically know. H and k are derived from the center of the circle. The center of the circle is (h,k). Don’t get tripped up though, your center of a circle has negative coordinates. When you have two negatives, they become positive.
So now you have:
(x+4)^2 + (y-2)^2 = radius^2
So figure out what the radius is. Use the distance formula to find out. You have a change of 5 from -4 to 1 in x. You have a change of 2 from 2 to 4 in y. Distance formula has the distance as the square root of x distance squared and y distance squared. That would mean that the distance/radius is equal to the square root of (25 + 4). 5 squared is 25 while 2 squared is 4.
The radius of the circle is equal to the square root of (29). However, looking back at the circle equation the radius should be squared for the equation. Square root of 29 squared gets you 29.
Plug that in and you get:
(x+4)^2 + (y-2)^2 = 29
Answer:
75 Arrangements
Step-by-step explanation:
Girl can secure 1st & 3rd, boy can secure 2nd position in : 6 x 5 x 5 = 150 ways ; As :
- 1st position holder can be chosen in 6 ways (among 6 girls)
- 2nd position holder can be chosen in 5 ways (among 5 boys)
- 3rd position holder can be chosen in ( among 5 remaining girls)
The arrangement of first, second & third :
It is same : If Girl G1 gets first rank & Girl G2 gets third rank, is same as ; Girl G1 gets third rank & Girl G2 gets first rank. So, two are considered the same group. Hence, number of arrangements are 150 / 2 = 75 arrangements.
