Step 1: learn to draw a free-body diagram. Read your school notes or look up a web site on the subject.
Step 2: Denote the angle of the ramp with the horizontal as theta=tan^(-1)(20/30)=33.69 degrees (approx.)
Step 3: denote the mass of the object as m=100 lb-mass.
Step 4: find force due to mass and gravity = -100g = -100 lb-force. (downwards), denoted by the vector F=(0,-100) lb-force.
Step 5: resolve force along incline:
Force parallel to incline = F1 = -100(cos(theta))
=-83.21 lb-force (negative => down the incline)
Step 6: resolve force perpendicular to incline
= F2 = -100(sin(theta)
=-55.47 lb-f (-ve =>into the incline)
By the way, this question is not calculus 3, but more mechanics, or physics. You have a better chance of getting answers if posted under "physics".
Answer:
ΔFHK and ΔGHJ are the similar triangles by SAS similarity theorem.
Step-by-step explanation:
Picture for the given question is missing; find the picture attached.
If 
and ∠H ≅ ∠H
Then ΔFHK ~ ΔGHJ
Since, and ∠H ≅ ∠H [By reflexive property]
Therefore, ΔFHK and ΔGHJ are the similar triangles by SAS similarity theorem.
Option (3) will be the answer.
1) Plug the numbers into the equation for a simple interest rate. The equation is I = Prt, where P is the initial amount, r is the interest rate, and t is the time in years. 2) You have to turn the time into years, so put it over 12 (the months in a year) to turn it into a fraction for the unit of years, and plug in the equation to get I = 1200*0.81*(9/12). 3) Multiply this equation out to get 729.00, this is the answer. Answer: $729.00 interest. **TAKE THIS WITH A GRAIN OF SALT, you wrote the interest as dollars, but in this equation I assumed you meant to write it was a percent. If you did make a mistake and the 81 interest is a percent, then the math in this equation is correct. If it is an amount of money, then don’t copy it because it would be incorrect.
Answer: The volume of a cuboid is given by the formula V = LWH, and the surface area of a cuboid is given by the formula SA = 2lh + 2wh + 2lw where l = length, w = width, and h = height.
And i was just learning this a few days back lol
