Answer:
As we get closer to x=-3, the limit is approaches -1, on both sides of -3 so this is a good limit so c is 8.
Step-by-step explanation:
In order for a limit to exists, the left side limit must exist and right side limit must exist and on top of that, they must be equal to each other.
In this case, this a piece wise function and by definition of a limit that exist, the limit of this piece wise function as x approaches 3 from either side, must be equal.
We let x=-3 for the top equation.

So we set the second equation equal to -1.




So the value of c is 8. We can prove this by graphing as well.
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Answer:

Step-by-step explanation:
If angle C is the right angle, then side c is the hypotenuse.
Use Pythagoras' Theorem
to find the length of side a:
Given:





<u>Tan Trig Ratio</u>

where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
Given:
= A- O = side opposite angle A = a = 9
- A = side adjacent angle A = b = 2√22

Answer:
Area = 42 in^2
Step-by-step explanation:
here's your solution
=> divide above picture in two parts
=> rectangle and traingle
=> area of rectangle = length* width
=> area of rectangle = (5*6)in.
=> area of rectangle = 30 in^2
=> now, area of traingle = 1/2*base *height
=> area of traingle = 1/2*4*6
=> area of traingle = 12 in^2
=> area of figure = 30 in^2 + 12 in^2
=> Area = 42 in^2
hope it helps
Answer:
The unknown sides are 60.81cm and 51.57cm while the unknown angle is 58degrees
Step-by-step explanation:
4a) Given the following
Opposite side = 38cm (side facing the given angle)
Required
Adjacent and hypotenuse side
According to SOH CAH TOA

Next is to get the adjacent

Next is to get the missing
Since sum of angle in the triangle is 180degrees
32 + 90 + x = 180
122 + x = 180
x = 180 - 122
x = 58degrees