Rachel, a 45-year-old female, bought a $120,000, 20-year life insurance policy through her employer. Rachel is paid biweekly.
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Look at the triangle: A right angle triangle is shown with hypotenuse equal to 10 centimeters. An acute angle of the triangle is labeled as x degrees. The side adjacent to the acute angle has length 6 centimeters and the side opposite to the acute angle has length 8 centimeters. What is the value of tan x°?
Answer:
Therefore the value of tan x is
Step-by-step explanation:
Given:
hypotenuse = 10 cm'
side adjacent to the acute angle 'x' = 6 cm.
side opposite to the acute angle 'x' = 8 cm.
To Find:
tan x = ?
Solution:
In Right Angle Triangle , Tan Identity we have
Substituting the values we get
Therefore the value of tan x is
Answer:
5:1 cm
Step-by-step explanation:
Let's look at the ratio in fraction form, since ratios are easier to think about in this mathematical way:
Now we have a fraction which is easier to work with. We can look for a common factor of 25 and 5 and then factor it out to find the lowest terms of our ratio and the simplified version of the fraction. One common factor of 25 and 5 that I can think of is 5 itself. So, let's divide both sides by 5.
÷
=
Does that make sense? 25 divided by 5 is 5, and 5 divided by 5 is 1. So the simplified version of the fraction is , and the lowest terms of the ratio 25:5 cm is 5:1 cm.
Hopefully that makes sense! If you need more help or any of that was confusing or difficult to understand, let me know. :)
First, put the equations into slope-intercept form(y = mx + b):
Since slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept, the slope of the line(value of m) determines whether the lines are parallel or perpendicular.
Parallel lines have the same slope, and since
, the lines are parallel. Also, because the m's aren't the same, the lines aren't identical.
Your answer is parallel.
Since slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept, the slope of the line(value of m) determines whether the lines are parallel or perpendicular.
Parallel lines have the same slope, and since
Your answer is parallel.