Answer:
One inference that can be made is that the age group of 12-19 consume more sodas than the age group of 20-39.
Step-by-step explanation:
Answer:
cos P = 53 degrees
cos Q = 37 degrees
Step-by-step explanation:
cos P = 
cos P = 
cos P = 0.60
Cos-1 of 0.60 is 53.13 (round to the nearest whole number)
cos P = 53 degrees
cos Q =
cos Q = 
cos Q = 0.80
Cos of 0.80 is 36.86 (round to the nearest whole number)
cos Q = 37 degrees
To check anser:
90 + 53 + 37 = 180
180 = 180
Answer:
dy/dx = -b/a cot α
Step-by-step explanation:
x² / a² + y² / b² = 1
Take derivative with respect to x.
2x / a² + 2y / b² dy/dx = 0
2y / b² dy/dx = -2x / a²
dy/dx = -b²x / (a²y)
Substitute:
dy/dx = -b²a cos α / (a²b sin α)
dy/dx = -b cos α / (a sin α)
dy/dx = -b/a cot α
Answer:
5/13
Step-by-step explanation:
All you have to do is switch the numerator and denominator! Hope this helps!
Answer:
90 sq inches
Step-by-step explanation:
The lateral area is the side area of the pyramid. In this case, there are 3 sides because the base is a triangle. Since the base is an equilateral triangle, all sides are of equal dimensions. So, the sides of the pyramid are also all of the same size, area.
We then just have to figure out the area of one of the side triangles, then multiply it by 3 to get the total lateral area of that pyramid.
We know how to calculate the area of a triangle: A = (b * h)/2
In this case, b = 5 in, h = 12 in. So,
TA = (5 * 12)/2 = 60 / 2 = 30
Each side triangle has an area of 30 sq inches.
LA = 3 * TA (since there are 3 sides)
LA = 3 * 30 = 90 sq inches
