Answer: C: The orientation of the figure stayed the same
Step-by-step explanation:
Everything else is true
A. The figures do not change in dilation so they are still congruent
B. The pre-image does start in the top left which is quadrant 1
C. The orientation changes because the picture is reflected instead of translated so points D and E are in different respective locations
D. The image is a reflection. You can tell because both points D and E reflect across the Y-axis
We have been given that 
and angle A is in quadrant 1. We are asked to find the exact value of 
in simplest radical form.
We know that sine relates opposite side of right triangle with hypotenuse.
This means that opposite side is 12 units and hypotenuse is 13 units.
We know that cotangent relates adjacent side of right triangle with adjacent side.
Now we will find adjacent side using Pythagoras theorem as:
Let us take positive square root on both sides:
Therefore, adjacent side of angle A is 5 units.
Therefore, the exact value of cot A is 
.
Answer:
$20.63 if you tip on the pre-tax amount
Step-by-step explanation:
You pay $12.99 for the pizza, plus the 8% tax on the pizza, plus the 20% tip of the cost of the pizza, so if you tip on the pre-tax amount, you pay
$12.99(0.08) = $1.04 in sales tax
$12.99(0.2) = $2.60 for the tip
and $4 delivery charge,
so you pay a total of
$12.99 + $1.04 + $2.60 + $4 = $20.63
Answer: 4,536
Step-by-step explanation: Multiply your two 9's to get 81. Multiply your 8 and 7 to get 56. Multiply 81 and 56 together to get your answer of 4,536.
9 x 9 = 81
8 x 7 = 56
81 x 56 = 4,536
Use long multiplication to evaluate this equation.
I hope this helps you out! ♥
