Answer:
x = 7√2/3
decimal = 3.299831
Step-by-step explanation:
Subtract 1 from both sides
3√2x+1-1=15-1
Simplify
3√2x=14
Divide both sides by 3√2
3√2x/3√2 = 14/3√2
Simplify
x= 7√2/3
The 6 angles with vertex P are:
- Angle APB
- Angle APC
- Angle APD
- Angle BPC
- Angle BPD
- Angle CPD
The letter P must be in the middle since this location is the vertex. Something like angle BPA is the same as angle APB. We can swap the order of the outer letters without any change to the angle itself. Effectively, this means each angle has two possible names.
The function:
f ( x ) = x * 0.965^t
where x is the initial amount and t is the number of the years
80 = x * 0.965^3
80 = x * 0.89632
x = 80 : 0.89632 ≈ 89
Answer:
The initial amount of animals was 89.
Answer:
A
Step-by-step explanation:
Since DE is parallel to AB and intersects the other 2 sides, it divides those sides proportionally, that is
= 
Note that AD = 33 - 22 = 11
Substitute values into the ratio
= 
= 
( cross- multiply )
2x = 16 ( divide both sides by 2 )
x = 8
To find y use similar triangles
Δ ABC is similar to Δ DEC, thus ratios of corresponding sides are equal
= 
, substitute values
= 
= 
( cross- multiply )
3y = 36 ( divide both sides by 3 )
y = 12
Thus y = 12, x = 8 → A
