Lisa is incorrect although it is an odd number it is not composite. It only has itself and 1. Therefore its a prime number.
This is the definition for prime if you still dont understand.
A prime number is a whole number greater than 1 whose only factors are 1 and itself.
Here is the equation:

Since 4 is next to the parentheses, you have to multiply everything in the parentheses by 4.
First multiply 3x by 4:

Now multiply 2 by 4:

Now add them together:

Your answer is <u>12x + 8</u>
Answer:
1) B = 66.5° c = 10.9
Step-by-step explanation:
I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.
For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:
cos23.5 = ¹⁰⁄c
c = ¹⁰⁄cos₂₃.₅
c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)
For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.
So b = 180 - (90 + 23.5) = 180 - 113.5
b = 66.5
- It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)
I hope this helps you with the other 3 questions.
Mario's mistake is made when doing reciprocal.
7 / (2/3) =
I cannot divide by 2/3, but if I do reciprocal, I can multiply by 3/2. The seven comes first, so it should not be flipped.
Mario's mistake was when he flipped the 7 (or 7/1) to 1/7.
First, it's worth noting that angles on a straight line sum to 180°. We can use this information to find out the value of y:
180-52-59=69
y=69°
Another rule is that the angles in a triangle sum to 180° as well. This means that we can now find out x:
63+y+x=180
63+69+x=180
180-63-69=x
x=48°