Answer:
the shape is semetrical
Step-by-step explanation:
Answer:
$1,200
Step-by-step explanation:
$15 x 20 = $300/week; $300 x 4 weeks = $1,200
You have to make a cos graph that starts its minimum and of -2, has an amplitude of 10, a period of 10 and a maximum of 18.
I decided to use a cos graph since cos graphs start at their minimum or maximum unlike a sine graph that starts halfway between the minimum and maximum. You also know the amplitude has to be 10 since 18+2=20 and 20/2=10. We were also told that the water wheel completels a rotation every 10 minutes which means the period is 10 minutes.
lets start of with a regular cos(x) graph. This starts on its maximum instead of minimum so we have to multiply it by -1 to get -cos(x) which does start on its minimum.
-cos(x) has an amplitude of 1 instead of 10, to fix that we multiply it by 10 to get -10cos(x) which has an amplitude of 10.
-10cos(x) has a period of 2π instead of 10, to fix this we multiply the x by 2π/10 to get -10cos((π/5)x) which now has a period of 10.
-10cos((π/5)x) has a minimum of -10 and maximum of 10 instead of a minimum of -2 and maximum of 18, to fix this we add 8 to -10cos((π/5)x) to get -10cos((π/5)x)+8 which does have a minimum of -2 and maximum of 18.
Therefore the answer is y=-10cos((π/5)x)+8. x being time in minutes and and y being the height in feet.
I hope this helps. Let me know if anything is unclear.
1. Answer;
- Triangle
Explanation;
The cross section formed by a plane that contains a vertical line of symmetry for a tetrahedron is a Triangle.
A tetrahedron also a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.
2. Answers
- Triangle
Explanation;
The cross section formed by a plane that intersects three faces of a cube is a Triangle. A cross section is the shape we get when cutting straight through an object. The shape of the cross-section of a solid depends upon the orientation of the cutting plane to the solid.
Your teacher is right. There is no reason to use algebra, which is misused in many problems as a shortcut, and slows the actual learning of math skills.
Here, the solution is as follows:
1. Find the volume of water in tank X.
2. Find the TOTAL base area of the three tanks, imagine that you have a larger tank with the same base area as the sum of the three.
3. Find the height of water in the new tank.
1. Find the volume of water in tank X.
Volume = 32*20*39.5=25280 cm^3
2. Find the TOTAL base area of the three tanks, imagine that you have a larger tank with the same base area as the sum of the three.
Total base area = 32*20 + 30*16 + 20*8 = 640+480+160 = 1280 cm^2
3. Find the height of water in the new tank
Height = Volume / base area
= 25280 / 1280
= 19.75 cm
