Answer:
I'll find X for you; the next step is by you.
Step-by-step explanation:
we have two similar pentagons
I will do it in 2 ways.
1.
=> 48/4x = (x+2)/x
=> 12/x = (x+2)/x
Because of pentagons so x > 0
=> 12 = x + 2 => x = 10
2.
k is unknown number
=> 4x = k.x and 48 = k.(x + 2) (x > 0)
=> k = 4 and 48 = 4.(x + 2)
=> 12 = x + 2 => x = 10
24.33 is the answer to this question
Answer:
- 273 mL of 5%
- 117 mL of 15%
Step-by-step explanation:
Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...
0.15q + 0.05(390 -q) = 0.08(390)
0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify
q = 117 . . . . . . . . . . . . . . . . . . multiply by 10
390-q = 273
The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).
__
<em>Additional comment</em>
You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.
Answer: 24
Step-by-step explanation: thanks
Answer:
The motion of the particle describes an ellipse.
Step-by-step explanation:
The characteristics of the motion of the particle is derived by eliminating 
in the parametric expressions. Since both expressions are based on trigonometric functions, we proceed to use the following trigonometric identity:
(1)
Where:
(2)
(3)
By (2) and (3) in (1):
(4)
The motion of the particle describes an ellipse.
