Answer:
Mass = 1.3 Kilograms.
Step-by-step explanation:
Given the following data;
Force = 55.1 N
Acceleration = 41.6 m/s²
To find the mass of the stone in kg;
Newton's Second Law of Motion states that the acceleration of a physical object is directly proportional to the net force acting on the physical object and inversely proportional to its mass.
Mathematically, it is given by the formula;
Force = mass * acceleration
Substituting into the formula, we have;
55.1 = mass * 41.6
Mass = 1.3 Kilograms
Hints on solving trigonometry problems:
If no diagram is given, draw one yourself.
Mark the right angles in the diagram.
Show the sizes of the other angles and the lengths of any lines that are known
Mark the angles or sides you have to calculate.
Consider whether you need to create right triangles by drawing extra lines. For example, divide an isosceles triangle into two congruent right triangles.
Decide whether you will need Pythagorean theorem, sine, cosine or tangent.
Check that your answer is reasonable. The hypotenuse is the longest side in a right triangle.
How to use the tangent ratio to find missing sides or angles?
Example:
Answer:
1. <u>14x</u> and <u>7</u> and <u>9x</u> and <u>3</u>
2. <u>0x</u>
3. <u>4</u>
Step-by-step explanation:
Step 1: Distribute
First, multiply 7 by 2x and 1 to get 14x and 7. Then multiply -3 by 3x and 1 to get -9x and -1
Step 2: Combine like variable terms
Combine 14x, -5x, and -9x, to get 0x.
Step 3: Combine like constant terms
Combine 7 and -3, to get 4.
The Least Common Multiple is used to add fractions with unlike denominators:
Three things can happen:
1/3 + 1/7 - the LCM is the product of the denominators (in this case 21)
2/8 + 3/16 - the LCM is the greater denominator (in this case 16)
2/9 + 5/6 - the LCM is lower than the product of the denominators (in this case it is 18)
The Greatest Common Factor is used to reduce fractions quickly:
÷
=
By using the GCF -in this case 24, I reduced the fraction in a single step.
If I kept dividing by 2/2 (not the GCF), it would take much longer:
48/72 = 24/36 = 12/18 = 6/9 and then I would still have to divide 6/9 by 3/3 to get 2/3
Answer:
C
Step-by-step explanation:
If we know that x is greater than or equal to 4, then we should substitute 4 in place of x in each possible solution.
A 4 + 3 ≥ 1 True, it's greater, but it can't be equal to.
B 3(4) ≥ 1 It's greater once again, can't be equal to.
C 4 - 3 ≥ 1 If x can also be greater than 4, then it works both ways. Equal and greater than.
