Answer:
The sum of the three angles of any triangle will always be 180 degrees because when all three angles are put together, they form a straight line.
Step-by-step explanation:
I did it on Edgenuity
Distance of A from cliff = 1500·arctan(30°) ≅ 723.5 ft
distance of B from cliff = 723.5+1000√3 ≅ 2455.6 ft
tanθ = 2455.6/1500 = 1.637
θ = arctan(1.637) ≅ 58.6°
angle of depression = 90-θ ≅ 30°
Answer:
2x + 3 )(x + 2 )
Step-by-step explanation:
2x² + 7x + 6
Find two numbers multiplied together to get 6
and if you multiply one by 2, the answer is 7:
Tested:
6 & 1 but 6 · 2 + 1 = 13 or 6 + 2 · 1 = 8 No
2 & 3 and 2 · 2 + 3 = 7 Yes
2x² = 2x & x
all signs are positive
trinomial factoring ( )( )
( + )( + )
2 and 3 are the numbers to use (2x + 3 )(x + 2 ) or (2x + 2) (x + 3)
The largest number goes with the 2x.
Therefore (2x + 3 )(x + 2 )
Check 2x(x + 2) + 3(x + 2)
2x² + 4x + 3x + 6
2x² + 7x + 6 checked
Answer
29/6 or 4 5/6
Step-by-step explanation:
1. Find a common denominator
2. Common denominator is 6 Remember - multiply by a - gives you a positive.
3. Rewrite 6/6 -4/6 +27/6
4. Add the numerators together to get 29
5. Answer is 29/6 or as a mixed number 4 5/6
The domain is the set of all allowed x values. In this case, we consider the whole numbers between 0 and 10. So we have x = 0, x = 1, x = 2, ... all the way up to x = 10.
To find the y values, you replace each x with the numbers mentioned and simplify.
For instance, if x = 2, then,
f(x) = 3.50x
f(2) = 3.50*2
f(2) = 7
This tells us that x = 2 packages cost y = 7 dollars.
