Answer:
sin(x) and cos(y) are equal and have ratio of 1 : 1
First find the missing hypotenuse using Pythagoras theorem:
a² + b² = c²
12² + 5² = c²
c = √144+25
c = 13
using sine rule:
using cosine rule:
Answer:
0.16%
Step-by-step explanation:
From the statement of the question;
Number of Laryngeal cancer due to smoking = 160
Population of smokers = 100,000
Hence the percentage of smokers liable to have Laryngeal cancer = 160/100000 ×100/1
=0.16%
Hence 0.16% of smokers are liable to Laryngeal cancer
1. If the line that we are searching for is perpendicular to the line y = -4x, this means that the gradient of our line and the gradient of the perpendicular line will multiply to give -1. Thus if we call the gradient of our line m, then:
m*(-4) = -1
-4m = -1
m = 1/4
2. Since we know that m = 1/4 and we have a point (2,6) on our line, we can use the formula y - y1 = m(x - x1) to find the equation of our line, where (x1, y1) is the coordinates of a point on the line. Thus:
y - y1 = m(x - x1)
y - 6 = (1/4)(x - 2)
y - 6 = (1/4)x - 2/4 (Expand (1/4)(x - 2))
y = (1/4)x - 1/2 + 6 (Simplify 2/4 and add 6 to each side)
y = (1/4)x + 11/2 (Evaluate -1/2 + 6)
Slope-intercept form is given by y = mx + c. As our equation is already in this form, there is nothing more to do. Thus, the answer is y = (1/4)x + 11/2
Step-by-step explanation:
6x-12=x+3
6x-x=3+12
5x=15
x=15/5
x=3
Answer:
First equation is -425
Second equation is 11.25
Step-by-step explanation:
First equation we can write as
computing
When i=0 -> 
When i=1 -> 
...
When i=7 -> 
then replacing each term we have
For the second equation we'll have 9 terms, solving in a similar fashion
When i=1 -> 
When i=2 -> 
When i=3 -> 
...
When i=9 -> 
So we have 0.25 + 0.50 + 0.75 + 1.00 + 1.25 + 1.50+ 1.75 +2.00 +2.25
