Answer:
Step-by-step explanation: The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed (a cylinder and two cones). The silo is made up of a cylinder (with height 10 feet and base radius 5 feet) and two cones (each with height 5 ft and base radius 5 ft). The formulas given at the beginning of the SAT Math section:
Volume of a Cone:
Volume of a Cylinder:
can be used to determine the total volume of the silo. Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is given by
which is approximately equal to 1,047.2 cubic feet.
<u>The final answer is D.</u>
The answer is <span>012.96. Hope this helps!
</span>
7+3 = 10 total marbles
1st pick = 7/10 for a red one
2nd pick = 6/9 reduces to 2/3 for a red one
3rd pick = 3/8 for a white one
7/10 x 2/3 =14/30 reduces to 7/15
7/15 x 3/8 = 21/120 reduces to 7/40
probability = 7/40
Answer:
centre = (2, - 3 ) and radius = 5
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² - 4x + 6y - 12 = 0 ( add 12 to both sides )
x² + y² - 4x + 6y = 12 ( collect x/ y terms )
x² + 4x + y² + 6y = 12
using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(-2)x + 4 + y² + 2(3)y + 9 = 12 + 4 + 9
(x - 2)² + (y + 3)² = 25 ← in standard form
with (h, k ) = ( 2, - 3 ) and r =
= 5
Answer:
35%
Step-by-step explanation:
% of guests who attended the wedding is number of guests who attended the wedding divided by the number of invited guests and the result multiplied by 100%
Therefore
28/80 x 100%
0.35 x 100%
35%
35% of the invited guests attended the wedding