4. To determine if a triangle is a right triangle, given that you know the length of its sides, you have to check if its lengths follow the Pythagorean theorem.
This theorem states that the square of the hypothenuse (c) is equal to the sum of the squares of the legs of the triangle (a and b), following the expression:
The triangle is:
We have to check that a²+ b² is equal to c².
The square of the hypothenuse is:
The sum of the squares of the legs of the triangle is:
As you can see, the sum of the squares of the legs of the triangle is 100, which is the same as the square of the hypothenuse. The triangle follows the Pythagorean theorem and can be considered a right triangle.
Answer:
The owner will have to pay $ 125 after 2 hours.
Step-by-step explanation:
Given that the line graph shows the amount of water loss in a leaking tank during 7 hours, and the owner pays $ 1 for every 8 liters of water lost, to determine how much will he have to pay after 2 hours the following calculation must be performed :
((6000 - 5000) / 8) x 1 = X
(1000/8) x 1 = X
125 x 1 = X
125 = X
Therefore, the owner will have to pay $ 125 after 2 hours.
Answer: 11
Step-by-step explanation:
Remove the parenthesis
16 - 17
= -11
Answer:
493.582 nearest hundredth
=500
Answer:
sin(T)
cos(C)
Step-by-step explanation:
sine goes up or down for angles in the circle.
cosine goes left or right for angles in the circle.
consider a circle with is center at T, and it goes through C (so, the radius is 25 = TC).
then 7 = sin(T)×25
24 = cos(T)×25
so, sin(T) = 7/25
then, sin(T) = cos(90-T)
and the angle at C = 90-T.
therefore, cos(C)=sin(T)=7/25
tan(x) = sin(x)/cos(x)
and that would lead here always to a 7/24 or 24/7 ratio.
so, no tan function is right.
