For this case what you have is the same as a rectangle triangle where you have as data the degree of inclination of the hypotenuse with respect to the base and the height of the triangle.
We have to find the value of the hypotenuse.
For this we use the following trigonometric relationship:
senx = C.O / h
Where
x: angle
C.O: opposite leg
h: hypotenuse.
Substituting the values we have:
sen (12) = 100 / h
We cleared h:
h = 100 / sin (12)
h = 480.97 m
Answer:
Galileo should walk 480.97 m up the inclined plane
To find surface area, we can use the equation:
SA=2lw+2wh+2lh, where:
l=10 in
w=3 in
h=7 in
SA=(2)(10)(3)+(2)(3)(7)+(2)(10)(7)
SA=60+42+140
SA=242 in²
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- The equation :
Area = length x width
- Substitute the values in :
Area = (x - 5)(x - 5 + 22)
(Note : the 'x' is for the algebraic expression x in the example above)
- Now you have to simplify the second parenthesis:
Area = (x - 5)(x + 17)
- Now expand :
Area = x^2 + 17x - 5x - 85
- Simplify by collecting like terms :
Area = x^2 + 12x - 85
(Note : x^2 means x squared)
Now you have your answer as:
x^2 + 12x - 85 feet^2
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-(z + (-17)) = 12 + 17
-(z - 17) = 12 + 17
Distribute -1:
-z + 17 = 12 + 17
Subtract 17 to both sides:
-z = 12
Multiply -1 to both sides:
z = -12
Answer:
5
Step-by-step explanation:
The radius is a distance on a circle from the center to a point on the circle.
We have both of these points describe here in this definition. Using the distance formula will give us the radius.
The difference between 1 and -3 is 1-(-3)=4.
The difference between 5 and 2 is 5-2=3.
