Answer:
8.66
Step-by-step explanation:
2. A force of 20 N acts upon a 5 kg block. Calculate the acceleration of the object.
2 answers:
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Answer:
AC = 7.12 units
Step-by-step explanation:
A right triangle has two legs and a hypotenuse. The hypotenuse is opposite the right angle. As Angle C is the right angle, then the triangle can be constructed as shown in the picture attached. The sides of the triangle have a relationship known as the Pythagorean Theorem a² + b² = c². In the theorem, the legs of the triangle are a and b while the hypotenuse is c. Substitute a = x, b = x+6, and c = √52. Simplify and solve.
a² + b² = c²
x² + (x+6)² = √52²
x² + x² + 12x + 36 = 52
2x² + 12x - 16 = 0
You can use the quadratic formula to solve by substituting a = 2, b = 12, and c = -16.
The quadratic formula is .
Substitute and you'll have:
Only 1.12 is a solution since 7.13 will not satisfy the Pythagorean theorem
Side AC is 6 units longer than side BC. This means x = BC and AC = x + 6.
AC = 1.12 + 6 = 7.12
Answer:
Step-by-step explanation:
Given: A town's population has been growing linearly. In 2003, the population was 35000, and the population has been growing by 1200 (constant rate of change) people each year.
The equation of a line is given by :-
, where m is the slope ( constant rate of change) and c is the initial value of the function.
From the given statement , we have the equation for the population x years after 2003 :-
Answer:
Step-by-step explanation:
The point at the terminal side of an acute angle is given by .
That is,
and
.
Let r be the length of line segment drawn from the origin to the point and is given by the formula:
Substituting the values of x and y into r,
Thus,
Also, is given by:
Substituting values of x and r,