Answer: 2nd most popular country = 15895 students
most popular country = 24390 students
Step-by-step explanation:
Total students: 40,285
2nd most popular country = x students
most popular country = x + 8,495 students
x + x + 8495 = 40285
2x + 8495 = 40285
2x = 40285 - 8495
2x = 31790
x = 15895
2nd most popular country = x = 15895 students
most popular country = x + 8,495 = 15895 + 8,495 = 24390 students
Answer:
We also drew a graph with 2 examples.
Step-by-step explanation:
If we have the line segment CD, we can divide it by 4: 1 as follows:
If point C has the coordinates (x1, z1) and point D has the coordinates (x2, z2), we calculate coordinate the points Y as follows:
y1 = (x2-x1) · 4/5
y2 = (z2-z1) · 4/5
In this way we have obtained the point Y with the coordinates (y1, y2), and the point Y divides the line segment CD by 4:1.
We also drew a graph with 2 examples.
cos θ =
, sin θ =
, cot θ = 4/7, sec θ =
, cosec θ = 
<h3>What are trigonometric ratios?</h3>
Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Sin θ: Opposite Side to θ/Hypotenuse
Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos
Cos θ: Adjacent Side to θ/Hypotenuse
Sec θ: Hypotenuse/Adjacent Side & 1/cos θ
Analysis:
tan θ = opposite/adjacent = 7/4
opposite = 7, adjacent = 4.
we now look for the hypotenuse of the right angled triangle
hypotenuse =
=
= 
sin θ = opposite/ hyp = 
Rationalize,
x
= 
But θ is in the third quadrant(180 - 270) and in the third quadrant only tan and cot are positive others are negative.
Therefore, sin θ = - 
cos θ = adj/hyp = 
By rationalizing and knowing that cos θ is negative, cos θ = -
cot θ = 1/tan θ = 1/7/4 = 4/7
sec θ = 1/cos θ = 1/
= -
cosec θ = 1/sin θ = 1/
= 
Learn more about trigonometric ratios: brainly.com/question/24349828
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Answer:Angela paid 679,05 for the couch
Step-by-step explanation:
425*70/100=29.750
29.750/100= 297,5
297,5+425=722,5
722,5*6/100=4.335/100=43,45
722,5-43,45=679,05
The quotient of 3489 divided by 6 is 581.