Square RSTU is inside trapezoid RSVU. What is the measure, in degrees, of angle VSR? R. REN T Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
-, -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal. Your answer
1 answer:
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Answer: The correct option is tan(F).
Explanation:
In the given figure the triangle is a right angle triangle because .
It is also given that and
.
Since it is an isosceles right angle triangle, therefore the value of perpendicular and base is same for both angles D and F, which is 5.
The value of cos(F) is .
The value of sin(F) is .
The value of sin(D) is .
The value of tan(F) is 1. Which is not equal to .
The value of cos(D) is .
Therefore, the value of tan(F) is not equal to the value of cos(F), so the correct option is third.
Refer to the diagram shown below.
Let x = m∠ADB.
Because m∠BDC is 32° greater than m∠ADB, therefore
m∠BDC = x + 32°
Each angle of a rectangle is 90°, therefore
x + (x+32) = 90
2x + 32 = 90
2x = 58
x = 29°
x+32 = 61°
Answer:
m∠BDC = 61°
m∠ADB = 29°
Let x = m∠ADB.
Because m∠BDC is 32° greater than m∠ADB, therefore
m∠BDC = x + 32°
Each angle of a rectangle is 90°, therefore
x + (x+32) = 90
2x + 32 = 90
2x = 58
x = 29°
x+32 = 61°
Answer:
m∠BDC = 61°
m∠ADB = 29°
Given:
- The table of typical hours worked by employees at a company
- salaried employee makes $78,000 per year
- hourly employees get $26 per hour and $39 per hour when they work more than 40 hours.
To Find: Which payment option to recommend to a new employee.
Solution: I would recommend being a salaried employee.
Explanation:
We begin by calculating the typical number of hours worked per week.
Adding up the hours from the table, we have .
The payment for an hourly employee must be calculated as $26 per hour for working till 40 hours, and $39 per hour when they work more than 40 hours.
So, the payment for 47 hours of work per week will be dollars.
As there are 52 weeks in a year, the yearly payment for an hourly emplyee would be . That is, an hourly employee would earn $68276.
On the other hand, we are given that a salaried employee makes $78000 per year which is more money than what an hourly employee makes for the same amount of work.
Therefore, I would recommend a new emplyee to be paid a salary rather than work on an hourly basis.