The circle graph shows how Tremaine divided his time on the computer last week Tremaine's Computer Time Games 25% Homework 20% R
esearch 5% Other 10% Social media 40% Tremaine used the computer a total of 30 hours last week. How many more hours did Tremaine use the computer to play video games than to do research? 6 hours 20 hours 75 hours • 15 hours
Explain the answer choice you choose. I will mark you brainlist!
Explain the answer choice you choose. I will mark you brainlist!
1 answer:
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Answer:
The correct option is C
Step-by-step explanation:
I attached an image that forms the complete question.
The converse Pythagorean theorem states that, "If the square of the longest side of a triangle is equal to the square of the other two sides, then the triangle is a right triangle."
That is if c is the longest side of a triangle and then a and b are the other sides, then if,
c² = a² + b², the triangle is a right triangle.
Looking at all the options, option C fits the theorem well. Because
3² + 4² = 5² implies the triangle is a right triangle and the converse theorem is established.
The option D also looks close, but it's not correct because you can just draw any two sides and put the right angle in between them. The longest is always the part of the triangle that is opposite to the right angle, 90°. If for instance, you draw 3 and 5 then put the right angle in between them, 4 will take the position of the longest side which is wrong.
Therefore, the correct option is c.
Answer:
length of the curve = 8
Step-by-step explanation:
Given parametric equations are x = t + sin(t) and y = cos(t) and given interval is
−π ≤ t ≤ π
Given data the arrow the direction in which the curve is traces means
the length of the curve of the given parametric equations.
The formula of length of the curve is
Given limits values are −π ≤ t ≤ π
x = t + sin(t) ...….. (1)
y = cos(t).......(2)
differentiating equation (1) with respective to 'x'
differentiating equation (2) with respective to 'y'
The length of curve is
on simplification , we get
here using sin^2(t) +cos^2(t) =1 and after simplification , we get
again using formula, 1+cost = 2cos^2(t/2)
Taking common we get ,
length of curve =
length of the curve is = 4(1+1) = 8
<u>conclusion</u>:-
The arrow of the direction or the length of curve = 8