-- The LIMIT is 40 pounds.
-- The weight HASTA be 40 pounds or less. It can't be more.
-- 40 pounds is OK, and anything less than 40 pounds is OK too.
-- 41 pounds or more is too much.
-- Here are all the OK conditions:
. . . . Weight = 40 pounds.
. . . . Weight is less than 40 pounds.
-- Summary: Weight can be equal to 40 pounds or less than 40 pounds.
Can you write that same sentence with the mystical symbols of Math ?
How about W ≤ 40 lbs
Which describes the effect of the transformations on the graph of ƒ(x) = x2 when changed to ƒ(x) = 3(x + 2)2 − 4?
A) stretched vertically, shifted left 2 units, and shifted down 4 units
B) stretched vertically, shifted right 2 units, and shifted up 4 units
C) compressed vertically, shifted left 2 units, and shifted down 4 units
Eliminate
D) compressed vertically, shifted right 2 units, and shifted up 4 units
Answer:
B) 47.1°
Step-by-step explanation:
The tangent relation is useful here.
Tan = Opposite/Adjacent
The original height of the tree is the side of the triangle that is opposite the angle of elevation:
Opposite = Adjacent × Tan
original height = (25 ft)×tan(34°) ≈ 16.863 ft
__
After growing an additional 10 ft, the tree has a height of ...
16.863 ft + 10 ft = 26.863 ft
Then the angle of elevation is found from ...
tan(angle) = (26.863 ft)/(25 ft) ≈ 1.07451
angle of elevation = arctan(1.07451) ≈ 47.057°
The angle of elevation to the top of the tree is about 47.1°.
Poorly formulated question. Please provide a question as I am confused what you are asking.
