Answer: 56 roses and 40 carnations are needed.
Step-by-step explanation: <u>Here’s the table of ratios that’ll help you find how many roses and carnations are needed to make a total of 96 flowers for table decorations:</u>
7:5 /14:10 /21:15 /28:20 /35:25 /42:30 /49:35/ 56:40/
*56 + 40 = 96
Hence, 56 roses and 40 carnations are needed if 96 flowers are needed for table decorations.
<u></u>
Answer:

Step-by-step explanation:





Sin D - 4/5
This is because sin would mean Opposite/Hypotenuse, and so if the angle is D then the opposite is 4.
sin C - 3/5
This is basically the same reason as sin D, however this time the Opposite is 3.
sin D × cos D - 4/5 × 3/5 = 12/25
For here, you just get the fractions of sin D, which we got earlier, and cos D, which would be Adjacent/Hypotenuse and therefore 3/5.
tan C × tan D - Not an option
cos C × tan D - 16/15
This is because cos C would be 4/5, and tan D would be 4/3 (Opposite/Adjacent) and multiplying those fractions together gives 16/15.
I hope this helps!
Answer:
(Abbys slope 2/3) (Brandons slope 2/3) Abby is correct both triangles have the same slope.
Step-by-step explanation: