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>
Answer:
b = (2A)/h
Step-by-step explanation:
With area formula for triangle: A = (1/2)*b*h
Solve for b
2*A = 2*(1/2)*b*h
2A = bh
2A / h = b
Answer:
0.263
Step-by-step explanation:
- Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept
- Slope Formula:
So firstly, to find the slope of this equation, plug the two points, (1,1) and (-3,2), into the slope formula and solve as such:
Next, plug either one of the points into the x and y coordinates to solve for b as such:
<u>Our final equation is 
, or the third option.</u>
If you would like to know in which step did the student first make an error and what is the correct step, you can calculate this using the following steps:
3(2x - 4) = 8 + 2x + 6
6x - 12 = 8 + 2x + 6
6x - 12 = 14 + 2x ... Step 2
6x - 2x = 14 + 12
4x = 26
x = 26/4 = 13/2
The correct result would be Step 2; <span>6x - 12 = 14 + 2x.</span>
