First I am going to assume that these are both right triangles based off of look and because it is much easier. Without it you have to use law of sines or law of cosines...
So to find x you must first find y which can be done simply by using the pythagorean theorem. This theorem is defined as the sum of the squared legs is equal to the sum of the hypotenuse or x^2 + y^2 = z^2
If we substitute in the known values 16^2 + y^2 = 20^2 and solve for y we get that y = sqrt(20^2 - 16^2), this then simplifies to y = 12
Finding x is much more annoying, the easiest way I can immediately see is to find the upper angles by doing sin(16/20) and then 90 - sin(16/20) since the complementary angle is the one you want. I don't have a calculator or a trig table with me right now but I will tell you that x will be equal to 12 ÷ the inverse cosine of the angle (90degrees - sin(16/20)).
I am pretty sure the answer is D though because we know for sure y = 12 and x has to be greater than y because the hypotenuse must be larger than both legs. It could be E but you won't know unless you do the math for x. So it is either D or E but I would be surprised if a Professor made you do all of the work just to say it doesn't work...
Answer:
x = 8
Step-by-step explanation:
We solve the equation:
4x + 6 = 38
4x = 38 - 6
4x = 32
x = 32 ÷ 4
x = 8
Answer:
25.9%
Step-by-step explanation:
Note: you did not provide any attached image detailing the dimension of the cylinder however, let us arrange some dimension for explanation purpose
let the dimension of the cylinder be
radius= 3in
height= 5 in
Step two
The expression for the total surface area of a cylinder is
T. S. A. =2πrh+2πr2
substitute
T. S. A. =2*3.142*3*5+2*3.142*3^2
T. S. A. =94.26+56.556
T. S. A. =150.816 in^2
Now let us find the error
%error= actual -expected/expected*100
%error= 190 -150.816/150.816*100
%error= 39.184/150.816*100
%error= 0.259*100
%error= 25.9%
Now, you can use the dimension you have for the cylinder to calculate the total surface area, from there, you can solve for the error by following the steps above
A = (pi * r^2)/2
A = (3.1416 * (14.3/2)^2)/2
A = 80.3 ft^2
Answer:
x = 8
Step-by-step explanation:
Since you know that the line is 180 degrees in total, and there is a right angle, then you know . . .
180 = 90 + 40 + 6x + 2
Subtract 90 + 40 + 2 on both sides
48 = 6x
Divide by 6 on both sides.
x = 8
You have your answer.
Please mark for brainliest!! :D Thanks!
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