Answer:
Step-by-step explanation:
2s=a+b+c
area=√(s(s-a)(s-b)(s-c))
where a,b,c are the sides of triangle.
2s=28.8+18+12=58.8
s=29.4
area=√((29.4)(29.4-28.8)(29.4-18)(29.4-12))
=√((29.4)(0.6)(11.4)(17.4))
≈59.15
≈59.2 sq.inch
First, let's initialize a variable called 'h' that will represent the number of hours it took to drive to Disneyland (you could do from if you wanted, in the end it doesn't really matter)
Since we know that the distance there and back is the exact same, we can make the following equation:
50(h) = 40(7.2 - h)
We know we can write this equation because rate multiplied by time is distance. We also know that the time to come back is 7.2 minus h, since h represents the time going there.
Simplify:
5(h) = 4(7.2 - h)
5h = 28.8 - 7h
12h = 28.8
h = 2.4
Now that we have the time it took to drive there, we can simply multiply it by the rate to find distance:
50*2.4 = 120
The distance to Disneyland is 120 miles.
If you need me to explain anything here, just ask :)
-T.B.
8 times 8 = 64 that is your area. Area is equal to length times height so multiply base times height
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:
Explanation:
Here, we want to get the value of x and y
From the given image, the angle y and 116 lie on a straight line
The sum of the angles on a straight line is 180 degrees
Thus:
The sum of the internal angles of a polygon can be calculated by the formula:
where n is the number of sides the polygon has
In the case of the given question, n is 4
Substituting the value of n, we have it that:
To get the value of x:
