For the triangle, x is 12 units long.
Step-by-step explanation:
Step 1:
According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The hypotenuse is the side which is the longest in the triangle and is always opposite the right angle.
In the given triangle, the hypotenuse is 13 units long. The other two sides measure 5 units and x units.
Step 2:
By substituting the known values, we get
Rounding this off to the nearest hundred, we get that x is 12 units long.
Answer:
4Joules
Step-by-step explanation:
According to Hooke's law which states that extension of an elastic material is directly proportional to the applied force provide that the elastic limit is not exceeded. Mathematically,
F = ke where
F is the applied force
K is the elastic constant
e is the extension
If a spring exerts a force of 6 N when stretched 3 m beyond its natural length, its elastic constant 'k'
can be gotten using k = f/e where
F = 6N, e = 3m
K = 6N/3m
K = 2N/m
Work done on an elastic string is calculated using 1/2ke².
If the spring is stretched 2 m beyond its natural length, the work done on the spring will be;
1/2× 2× (2)²
= 4Joules
Answer:
D = 35.8 degrees
Step-by-step explanation:
In this question, we are asked to use calculator to estimate the approximate measure of angle D given its tan value.
From the question, what we have is;
tan D = 0.72
Now to calculate the acute angle D, we will divide through by tan
hence,
D = tan^-1 0.72
or more simply tan^-1 can be called arc tan
Thus, D = arc tan 0.72
D = 35.75
D = 35.8 to the nearest tenth of a degree
