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:
15:17
Step-by-step explanation:
Since the triangle has a right angle, we may find the length of the unknown side using the trigonometric notations SOH CAH TOA where
SOA stands for
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
With respect to ∠B given that ∠D=90°,
BD is the adjacent side
CB is the hypotenuse side
and DC is the opposite side
Hence Sin B = 15/17
Answer:
First recipe needs = 3/8
Second recipe needs = 5/8
Step-by-step explanation:
Given:
Two recipes needs butter = 1 pound
One recipe needs 1/4 pound more
Find:
Each recipe needs butter
Computation:
Assume;
First recipe needs = x
Second recipe needs = x + (1/4)
Two recipes needs butter = First recipe needs + Second recipe needs
x + x + (1/4) = 1
2 x = 1 - (1/4)
2 x = 3/4
x = 3/8 pound
First recipe needs = 3/8
Second recipe needs = x + (1/4) = (3/8) + (1/4) = 5/8
Second recipe needs = 5/8
Her brother is 9.
Because she is 3 years older than half his age, subtract 3 - 21. This gives 18. Then divide 18 / 2. This gives 9.
