Answer: 78 degrees
Step-by-step explanation:
Since the angles of a triangle have to add up to 180 degrees, and angle A is 28 degrees, and angle B is 74 degrees, angle C would have to be 78 degrees so there are a total of 180 degrees in the triangle. Since triangle ABC is similar to triangle DEF, the angle measurements of that triangle would also have to be 28 degrees, 74 degrees, and 78 degrees, corresponding to angles D, E, and F. Since the largest of these numbers is 78 degrees, and angle F is the largest angle of the triangle, that would be your answer.
Hope this helps!
Vic and Dan are 2, 897m apart.
<h3>How to determine the distance</h3>
It is important to note that the distance between Vic and Dan is the base of CN
Let's say the distance to Dan is x
The distance to Vic is y
Using cosine ratio, we have
cos α = opposite / adjacent
α = 72°
opposite = 553. 3cm
Adjacent = x
cos 72° = 
Cross multiply
× 
= 
m
The distance to Vic is y
Using the cosine ratio, we have
Cross multiply
m
To determine how far apart Vic and Dan, we use = x + y
= 1790. 61 + 1106. 6
= 2, 897. 21m
= 2, 897m
Thus, Vic and Dan are 2, 897m apart.
Learn more about bearing and distance here:
https://brainly.in/question/47782732
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Answer:
3x - 27 = 51
x equals 26
Step-by-step explanation:
3(dollars) times x(number of shirts sold). Then you subtract the amount she spent on supplies($27) and you get 51, the total profits she made.
Answer:
A relation is not a function if it repeats its input values, or x values.
Step-by-step explanation:
For example, the relation 4,3 3,6 7,5 ,3,8 would not be a function because it repeats the x value of 3 in the points 3,6 and 3,8.
The relation 4,3 3,6 7,5 and 8,3 would be a function because it does not repeat the input values.
Hope this helps!
Answer:
43988ft^3
Step-by-step explanation:
Given data
Radius= 20ft
Height= 35ft
The expression for the volume of a cylinder is given as
Volume= πr^2h
substitute
Volume= 3.142*20^2*35
Volume= 3.142*400*35
Volume= 43988ft^3
Hence the volume is 43988ft^3
