Answer:
x = -5/3
Step-by-step explanation:
Combine like terms: 2x + 3x = 5x - 1 (on the left) -6 + 2x (on the right) (5x - 1 = -6 + 2x)
Get X on one side: Isolate +2x by subtracting 2x on both sides (5x - 2x = 3x) (3x - 1 = -6) Isolate -1 by subtracting 1 on both sides (3x = -5) Isolate 3x by dividing 3 on both sides.
I hope I explained it correctly
Answer:
r^2 = 45÷2 x^2
Step-by-step explanation:
Details of cone:
Radius(r) = 5x cm
Height(h) = 12x cm
Slant height(l) = √(12x^2 + 5x^2)
l = 13x cm
Total surface area of a cone (T. S. A) = πrl + πr²
T. S. A = π * 5x * 13x + π5x^2
T.S.A = π65x^2 + π5x^2
T.S.A = π65x^2 + π25x^2
T.S.A = 90πx^2 - - - - - (1)
Details of sphere:
Radius (r) = r cm
Total surface area = 4πr²
Total Surface area of sphere= 4πr²cm - - - (2)
Equating (1) and (2) to calculate r
4πr² = 90πx^2
r^2 = 90πx^2 / 4π
r^2 = 90π (x^2) / 4π
r^2 = 45/2 (x^2) ;
r^2 = 45÷2 x^2
Hence the proof
Answer:
34.7 degrees
Step-by-step explanation:
This is a right triangle trig problem. The angle in question, the angle of elevation, is the base angle that is NOT the right angle. The height of the tree is the side opposite the angle of elevation, and the distance away from the tree is the measure of the base of the right triangle. So the question, then, is "What is the angle that has a ratio equal to the side opposite the angle over the side adjacent to the angle?" This is the definition of the tangent of an angle. The equation will be set up as follows:
Your calculator needs to be in degree mode when you do this operation. Press 2nd on your calculator then tan and you'll get tan^-1 on your display. This means you are looking for a missing angle. Enter the fraction as 45/65 inside the parenthesis and hit enter and you'll get an angle of 34.69515353. Round to the nearest tenth for 34.7
You will always use the 2nd and sin/cos/tan buttons to find missing angles.
The surface area, I believe, is 584,064.
Broken down, the formula is really 312 x 312 x 6
312 x 312 = 97,344 97,344 x 6 = 584,064......... There is your answer.
SA = 584,064
So ask yourself how much would I use on 10 plants? Then take what your answer is and multiply that by 3. In this situation you would use 3 gallons of water on 10 plant. So that would mean that you would use 9 gallons of water on 30 plans. When I say this I'm assuming that you only need one of those sixes, and then the second six is a typo