Answer:
Tan B = 12/5
Sin B = 12/13
Cos B = 5/13
Step-by-step explanation:
sine B = opposite (12)/hypotenuse (13)
= 12/13
Cosine B = adjacent/hypotenuse
= 5/13
Tangent B = opposite/adjacent
= 12/5
Here is a picture that can always help you with the three trig ratios.
Answer:
112.81 m.
Step-by-step explanation:
The pole and the tower and their shadows form 2 similar triangles so their corresponding sides are in the smae ratio.
Therefore we have the relation:
1.21 / 48.75 = 2.8 / x where x is the height of the tower.
Cross multiplying:
x = 2.8 * 48.75 / 1.21
= 112.81 m
I don't know if you can find a rate with 2 numbers. You can find a rate with 2 sets of numbers. If you only have 2 numbers you cannot do much.
however if the problem says something like x changed from 45 to 65 over some x values that are not given you can find the rate. this is because you are actually given 2 sets of numbers. It it doesn't have to be x and y. It could say it another way. let's say it says you get on the freeway at 45 mph and when you see yout exit sign you are traveling 65 mph. What is your rate of change. this can actually be written in (x,y) form. in both of these examples you can say (x1, 45) and (x2, 65).
well the rate of change would just be the difference in y values per the difference in x values. If you think about it, this is just the slope of the line it creates. (y2 - y1) / (x2 - x1).
or:
(64 - 45) / (x2 - x1).
20 / (x2 - x1).
this can be worded as we had a rate of change of 20 per (x2 - x1) time period.
or you could say out rate of change was just 20 if of the time period is already understood.
i hope this helps. I am not sure if it was what you were asking
Answer:
A relation from a set of inputs to a set of possible outputs where each input is related to exactly one output
Step-by-step explanation:
The expression for the area of frame is 4x² + 24x + 35
<h3>What is Area of rectangle?</h3>
Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides.
Here, Old length of photograph = 5 inch
Old width of photograph = 7 inch
Now, length of new photograph = (5 + 2x) inch
width of new photograph = (7 + 2x) inch
Now, Area of frame with new dimension = Length X breadth
= (5+2x) X (7+2x)
= 5(7+2x) + 2x(7+2x)
= 35 + 10x + 14x + 4x²
= 4x² + 24x + 35
Thus, the expression for the area of frame is 4x² + 24x + 35.
Learn more about Area of rectangle from:
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