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:
(7,-2)
Step-by-step explanation:
First, you move to the right of y-axis like 5 to 7,
then you movie to the up of x-axis like -5 to -2.
So the answer was (7,-2)
We have consecutive odd numbers for the sides of a triangle, perimeter 201. We could write an equation, but clearly the middle side is 201/3 = 67, so the other two sides are 65 and 69.
This is almost an equilateral triangle, angles around 60 degrees, so not obtuse, meaning one angle over 90 degrees.
Scalene means the sides are all different lengths; we didn't even have to solve the problem to know this is true.
Smallest side 61, false.
Largest side 69, true.
This last one doesn't make much sense to me. What's a unit here? Dilation of 1/3 means all the linear measures become 1/3 as big, including the perimeter. It would decrease much more than 3 inches, since it would go from 201 inches to 67 inches. If I have to answer I'd go with false.
So first you need to find the surface area of the cake pan in the recipe:
9 times 11 + (9 times 2)2 + (2 times 11)2=99+36+44 which you can figure out yourself.
The second one is:
10 times 10+(10 times 10)2+(10 times 2)2= 100+200+40 which you can also figure out yourself.
I am guessing you cannot use the pan you have for your recipe.
