Answer:
Step-by-step explanation:
<u>We have the following points:</u>
- B- position of baby bird
- M- position of momma bird
- G- base of the tree
<u>Given:</u>
- GM = 18 feet
- BG = x
- m∠BMG = 54°
<u>Find the value of x:</u>
- x / GM = tan ∠BMG
- x / 18 = tan 54°
- x = 18 tan 54°
- x = 24.77 ≈ 25 ft
Correct choice is B
Answer:
B. y = 1/3x
Step-by-step explanation:
The slope of the given line is -3, so the slope of the perpendicular line will be the negative reciprocal of that: -1/(-3) = 1/3. This eliminates choices A and C.
We can find the y-intercept (b) if we use the given point values in the equation ...
y = 1/3x +b
we get ...
-2 = (1/3)(-6) +b
-2 = -2 +b . . . simplify
0 = b . . . . . . . add 2
So, the equation of the perpendicular line through the given point is ...
y = 1/3x . . . . matches choice B
_____
<em>Alternate solution method</em>
You can try the given point in the given equations. You will find that only the equation of choice B will work.
Answer:
10%
Step-by-step explanation:
Given: CP of lemon is $600.
3/4 of lemon sold at 20% loss
Remaining lemon at 20% gain.
Considering the quantity of lemon remain constant.
Cost price of 3/4 of lemon= 
As given, 3/4 of lemon sold at 20% loss.
∴ Selling price of 
Selling price= 
Hence, selling price of 3/4 lemon is $360.
Now, the cost price of remaining lemon 
∴ The cost price of
As given, remaining 
∴ Selling price of 
Selling price of 
Hence, selling price of 1/4 lemon is $180
Loss\profit percent= 
∴ Loss\profit percent= 
Hence, the loss percentage is 10%
Answer:
14/13
Step-by-step explanation:
the reciprocal is the fraction upside down.