Answer:
4th choice (if we guessed the blurry letters properly)
Step-by-step explanation:
The reflection maps ...
(x, y) ⇒ (x -y)
Then the rotation maps ...
(x, -y) ⇒ (y, x)
That is, R(-1, 4) becomes R'(4, -1), apparently matching point S, the only point at (4, -1). We can't read the letters, but we know that you only need to know where R ends up in order to select the correct answer.
The answer is B. 3 9/20 = 3.45
because if you divide 9 by 20, that gives you 0.45. Then you add a 3.00, which equals
3.45
I hope I helped
Answer:
12.53
Step-by-step explanation:
∠BCA = (180°-40°)/2 = 70°
Laws of Sines: CA/sin 40° = AB/sin 70° = 5/sin 70°
CA = 5/sin 70° * sin 40° = 3.40
area of semicircle CA = (3.1416 * 1.70²) / 2 = 4.54
By Heron's Formula, area of triangle ABC:
1/4 √(a+b+c) (a+b-c) (b+c-a) (c+a-b) = 1/4 * √13.4*3.4*3.4*6.6
= 7.99
Entire region area = 4.54 + 7.99 = 12.53
Answer:
18 Minutes
Step-by-step explanation:
Simon and sophie each do a fraction of the job per minute like this:
-Simon does
per minute (if we multiply this by 30 we have the completed job)
-Sophie does
of the job per minute (again if we multiply this by 45 we have the completed job)
We will add this two to know how much of the job they do together in a minute:

They will do
of the job per minute.
So the total time will be when they do
, we can put this in one equation like this:

where x is the total times we need to do
of the job to complete it. We solve for x:
