Answer:
<u>145 people were surveyed</u>
Step-by-step explanation:
1. Let's review the information given to answer the question correctly:
Percentage that indicated they preferred walking to running = 90%
2. If 130 people preferred running to walking, how many people where surveyed?
For answering this question, we will use the Rule of Three simple, this way:
x = Number of people surveyed
90 * x = 130 * 100
90x = 13,000
x = 13,000/90
x = 144.44
But we need a whole number for an accurate answer, so we round the value of x to the next whole number.
<u>145 people were surveyed</u>
Answer:
6
Step-by-step explanation:
we will calculate the prime factors( gcd) of the numbers by matching the biggest comman factor of 24 or 30
Step-by-step explanation:
L.H.S =
sin15°+tan65°
sin(90°-75°)+tan(90°-25°)
cos75°+cot25°
or; cot25°+ cos75°. R.H.S
Answer:
Step-by-step explanation:
The slope of straight line PR where P(2,3) and R(5,-1) are two vertices of triangle PQR will be = 
Therefore, the slope of the altitude passing through Q(-1,1) will be 
{Since, the product of slopes of two perpendicular straight line is -1}
So, equation of the altitude is 
where c is a constant.
Now, putting x = -1 and y = 1 in the above equation we get
⇒ 
Therefore, the equation of the altitude is (Answer)
Cosine is co added onto sine. Basically, cosine is the sine function moved over 90degrees or pi/2 (pi/2 on a unit circle is 90 degrees)
Sin(x)=cos(x+90) <--degrees
Sin(x)=cos(x+pi/2) <--radians
The above two equations for converting them is called a cofunction identity. There's many more identities to convert sines, cosines, tangents, cosecantes, secantes, and cotangents between each other. This is taught to you in PreCalculus.
