Answer:
The distance from both of them = 1463.925 ft
Step-by-step explanation:
The building is 964 ft tall . 2 people are standing on the ground directly west of the building. The first person looks up at an angle of 62° to the top of the building while the second person did same at an angle of 26°. The distance between them can be computed below.
The illustration forms a right angle triangle . Using the SOHCAHTOA principle let us find the distance of the second person from the building
tan 26° = opposite/adjacent
tan 26° = 964/adjacent
adjacent tan 26° = 964
adjacent = 964/tan 26°
adjacent = 964/0.48773258856
adjacent = 1976.49290328 ft
The distance from the second person to the building = 1976.493 ft
Distance of the first person to the building
tan 62° = opposite/adjacent
tan 62° = 964/adjacent
adjacent tan 62° = 964
adjacent = 964/tan 62°
adjacent = 964/1.88072646535
adjacent = 512.567892122
distance from the first person to the building = 512.568 ft
The distance from both of them = 1976.493 ft - 512.568 ft = 1463.925 ft
Answer:
52.40
Step-by-step explanation:
Discussion
Suppose the meal starts out as x.
She pays 5% of x as a sales tax
So that brings the total up to 100% + 5% = 105%
Before paying, she pays 20% on x as her tip. The tax does not touch the tip.
So that brings the total up to 100% + 5% + 20% = 125% of this is based on x, the cost of the meal.
So 125% of x = 65.50 change the % to a fraction
125/100 * x = 65.50 Multiply both sides by 100/125
125/100 * 100/125x = 100/125 * 65.50
x = 100/125 * 65.50 Multiply by 100
x = 6550 / 125 Divide by 125
Check
Tax = 5% * 52.40 = 5/100 * 52.40 = 2.62
Tip = 20%*52.40 = 20/100 * 52.40=10.48
Meal = 52.40
Total 65.50 Just as it should
Answer:
43
Step-by-step explanation:
The benchmarks are: 0, 0.25, 0.50, 0.75 and 1.
2. 81 → 2.75
+
3.73 → 3.75
------------
2.75 + 3.75 = 6.50
Answer:
A thend D
Step-by-step explanation:
