Answer:
48.8 lbs
Step-by-step explanation:
The forces can be modeled by a triangle with acute angles 20° and 26°, and obtuse angle 134° opposite a side of length 80. The larger component force will be opposite the angle 26°, and can be found using the Law of Sines:
a/sin(A) = c/sin(C)
x/sin(26°) = 80/sin(134°)
x = 80sin(26°)/sin(134°) ≈ 48.753 . . . . pounds
The larger component force is about 48.8 pounds.
Given:
1 m : 25 cm
8 in : 1 ft
12 in : 1 ft
First, we convert each
variable given on the right:
1 m : 0.25 m (this means that
1 meter is made to represent 25 cm)
8 in : 12 feet (this means
that 8 in is made to represent 1 feet)
12 in : 12 in (this means
that 12 in is made to represent 1 feet)
<span>After converting the
variables, we can now know if the ratios are enlargement, reduction or
preservation. Therefore:
1 m : 25 cm = Enlarge</span>
<span>8 in : 12 feet = Reduce
12 in = 1 ft = Preserve</span>
Answer:
both points and rotational only
<h2>
Translating Word Equations into Numerical Equations</h2>
To change words into equations, we can recognize keywords that translate into operations and/or numbers:
- <em>quotient</em> = divide
- <em>a number/the number/two numbers</em> = variables
- <em>sum</em> = add
<h2>Solving the Question</h2>
Let the two numbers be <em>a</em> and <em>b</em>.
We're given:
- quotient of <em>a</em> and <em>b</em> is 3
⇒ 
- sum of <em>a</em> and <em>b</em> is 8
⇒ 
First, isolate <em>a</em> in the first equation and substitute it in the second equation to solve for <em>b</em>:
Therefore, one of the numbers is 2. Substitute this into one of our equations to solve for <em>a</em>:
Therefore, the other number is 6.
<h2>Answer</h2>
The two numbers are 2 and 6.
Use the method rise over run (rise/run) that would get you 30/20 and that would equal to 1.5
