This is the answer and the steps
Answer:
84°
Step-by-step explanation:
Let the measures of the triangle be 5x, 7x, 3x.
By interior angle sum postulate of a triangle.
5x + 7x + 3x = 180°
15x = 180°
x = 180°/15
x = 12°
7x = 7*12°= 84°
Measure of the largest angle = 84°
Ratio of shadow to object's size = 2/7
Then, size of tree would be: 7/2 * 28 = 7 * 14 = 98 feet
So, your final answer is 98 feet
Hope this helps!
Answer:
a) 
b) 
Step-by-step explanation:
Total number of students = 52
Number of students who are democrats = 26
Number of students who are business majors = 12
Number of students who are business majors as well as democrats = 7
Now, lets come to the question.
a) Number of students who are democrats but not business majors =
(Number of democrats) - (Number of democrats as well as business majors)
⇒ 26 - 7
⇒ 19
∴ P (Democrat who is not a business major) = 
b) Number of students who are neither democrats nor business majors =
(Total number of students) - (Number of democrats + Number of business majors + Number of democrats as well as business majors)
⇒ 52 - (26 + 12 + 7)
⇒ 52 - 45
⇒ 7
∴ P (Neither democrat nor business major) = 
Use the sum of angles's trigonometric identity formula:
cos(A+B)=(cosAcosB-sinAsinB)
x+y=4cos(t+π/6)+2sint=4(cost*cosπ/6-sint*sinπ/6)+2sint
recall that cosπ//6=√3/2, and sinπ/6=1/2:
4(cost*cosπ/6-sint*sinπ/6)+2sint=4[(√3/2)cost-(1/2)sint]+2sint
simplify:2√3cost-2sint+2sint=2√3cost