Answer:

Step-by-step explanation:
In order to find the side mentioned (IJ), we need to use SOH CAH TOA.
SOH CAH TOA is an acronym to help us remember what sin, cos, and tan mean. It stands for:
Sin = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tan = Opposite / Adjacent
Since we know the measure of angle K (42) and we know one of the sides, we can use this to find the missing length.
Since the side given to us is the hypotenuse, and we're looking for the side opposite of the angle (IJ), the only possible one to use would be SIN as it includes Opposite and Hypotenuse.
Our equation is now this: 
Let's now solve for x.
Therefore, the length of IJ will be around 2.01.
Hope this helped!
Answer:
Step-by-step explanation:--0.9
Answer:
y = 
Step-by-step explanation:
Let the equation of the exponential function is,
y = a(b)ˣ
Since the graph of this function passes through two points
and (3, -1)
For the point
,
---------(1)
For second point (3, -1),
-1 = a(b)³ ---------(2)
Divide equation (2) by equation (1),
=


From equation (2)
-1 = 
-1 =
a = 8
Therefore, equation of the exponential function will be,
y = 
Answer:
Step-by-step explanation:
Let Kaylee used the amount of green paint in the mixture = x ounces
and the amount of white paint = y ounces
Total amount of mixture = 50 ounces
Equation will be x + y = 50 ------(1)
Ratio of green paint to the white paint in the mixture = 5 : 3
⇒ x : y = 5 : 3
⇒ 
⇒ x =
---------(2)
Therefore, By solving these two equations by substitution method we can get the amount of green and white paint used in the mixture.
Answer:

13 glue sticks cost $25.22.
Step-by-step explanation:
4 blue sticks cost $7.76, this means that one glue stick costs
$7.76/4 = $1.94.
Let
be the cost of the glue sticks, and
be the number of glue sticks; then

We can use this equation to find the cost of 13 glue sticks; we just put
into our equation and it gives:

So 13 glue sticks cost $25.22.