85 yen are equivalent to 1 euro ⇒ answer O
Step-by-step explanation:
The given is:
- 1 dollar = 1.2 euros
- 1 dollar = 102 yen
We need to find how many yens are equivalent to 1 euro
∵ 1 dollar = 1.2 euros
∵ 1 dollar = 102 yen
- Equate the two right sides of 1 dollar
∴ 1.2 euros = 102 yen
- To find 1 euro equals how many yen divide both sides by 1.2
∵ (1.2 ÷ 1.2) euros = (102 ÷ 1.2) yen
∴ 1 euro = 85 yen
85 yen are equivalent to 1 euro
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15 3/4% = 15.75%
15.75% = 0.1575
The answer is A.
Answer:6.1
Step-by-step explanation: the equation is 6n=30.5+n. the first thing you you do is subtract n on both sides which would be 6n-n which gives you 5. the equation now is 5n=30.5. now what you do is divide 5 on both sides so it would be 30.5/5 and that gives you 6.1
Answer:
θ is decreasing at the rate of 
units/sec
or 
(θ) = 
Step-by-step explanation:
Given :
Length of side opposite to angle θ is y
Length of side adjacent to angle θ is x
θ is part of a right angle triangle
At this instant,
x = 8 , 
= 7
( denotes the rate of change of x with respect to time)
y = 8 , 
= -14
( The negative sign denotes the decreasing rate of change )
Here because it is a right angle triangle,
tanθ = 
-------------------------------------------------------------------1
At this instant,
tanθ = 
= 1
Therefore θ = π/4
We differentiate equation (1) with respect to time in order to obtain the rate of change of θ or (θ)
(tanθ) = (y/x)
( Applying chain rule of differentiation for R.H.S as y*1/x)
θ(θ) = 
- 
-----------------------2
Substituting the values of x , y , , , θ at that instant in equation (2)
2(θ) = 
*(-14)- 
*7
(θ) =
Therefore θ is decreasing at the rate of units/sec
or (θ) =
