We’ll first find how much she has left as her savings
$490-$396.90= $93.70
Now we’ll go for cross multiplication
100% $490
? $93.70
? = 100 x 93.7/490
? = 19.1 %
So the answer is 19.1% which rounded to the nearest whole number is 19%. The answer is the first option.
Hope it helped you
Answer:
2<k
Step-by-step explanation:
20 < k + 18
20 - 18 < k + 18 - 18
2<k
The answer is C because if any of those are not parallel will not make the angle similarity true.
The radius of the completed cone is
... 18×(300°/360°) = 15
The height of the completed cone is found from the Pythagorean theorem:
... 15² + h² = 18²
... h = √99 = 3√11
The volume is given by
... V = (1/3)πr²·h = (1/3)π·15²·3√11
Dividing this value by π gives 225√11 cubic units.
Answer: the distance of the boat from the foot of the lighthouse is 290.5 feet.
Step-by-step explanation:
The right angle triangle ABC representing the scenario is shown in the attached photo.
Angle A is alternate to the angle of depression, hence, they are the same.
The height of the lighthouse represents the opposite side of the right angle triangle. The distance, x of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.
To determine x, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 11.1 = 57/x
x = 57/Tan 11.1 = 57/0.1962
x = 290.5 feet to the nearest tenth.