Answer: B
Step-by-step explanation:
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. Since the machines are identical and running at the same constant rate, it means each of them as the same rate. The rate of each machine can produce would be determined by dividing the combined unit rate by 6. It becomes
270/6 = 45 bottles per minutes
The rate for 10 machines running at the same constant rate would be
10 × 45 = 450 bottles per minutes.
If the 10 machines produce 450 bottles per minutes, then,
In 4 minutes, the 10 machines will produce 4 × 450 = 1800 bottles
Answer:
4Ф64÷6→β44
Step-by-step explanation:
Answer: -16/65
Step-by-step explanation:
Drawing the right triangle (as attached) gives us that 
Also, 
This means our original expression is equal to:
![\cos \left[\arcsin \left(\frac{12}{13} \right)+\arcsin \left(\frac{3}{5} \right) \right]](https://tex.z-dn.net/?f=%5Ccos%20%5Cleft%5B%5Carcsin%20%5Cleft%28%5Cfrac%7B12%7D%7B13%7D%20%5Cright%29%2B%5Carcsin%20%5Cleft%28%5Cfrac%7B3%7D%7B5%7D%20%5Cright%29%20%5Cright%5D)
Using the cosine addition formula, which states 
, we get this itself is equal to:
Since 
, we know that:
Similarly, cos(arcsin(3/5))=4/5.
This means the given expression is equal to:
Answer:
A 846 square inches
Step-by-step explanation:
Use the net:
Rectangle 1: (21 in + 3 in + 21 in + 3 in) by 15 in.
Rectangle 2: 21 in by 3 in
Rectangle 3: 21 in by 3 in
total area = sum of areas of 3 rectangles above.
total area = (48 in * 15 in) + 2(21 in * 3 in)
total area = 720 in^2 + 126 in^2
total area = 801 in^2
Answer: A 846 square inches
Use distance formula to find length of each side:
RQ = 5.39
RS = 4.47
ST = 3.61
TU = 4.12
UQ = 8.54
Total =26.13
Answer = 26.1 Units
