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stepan [7]
1 year ago
12

a linguist had a gross income of $53,350 last year if 17.9% of his income got withheld for federal income tax how much of the li

nguists paid with held for federal income tax last year
Mathematics
1 answer:
laila [671]1 year ago
7 0

Answer:

The linguists paid $9,549.65 in federal taxes.

Step-by-step explanation:

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A point x is 34m due to east of a point Y . The bearing of a flagpole from x and Y are N18°W And N40°E respectively .
Murljashka [212]

Answer:

The distance of flag post from Y is 38.13 m

Step-by-step explanation:

Consider point Y at the intersection of both lines as shown below. Now the point X lies 34 meter from point Y in east direction.  

Now flag pole at point X lies at a bearing of N18°W. That is at point X from north, flag post makes an angle of 18° towards west.  

Similarly flag pole at point Y lies at a bearing of N40°E. That is at point Y from north, flag post makes an angle of 40° towards east.  

Consider ∆ AXY as right angle triangle. Therefore measure of angle FXY is,  

\angle AXY=\angle AXF+\angle FXY

\therefore 90 \degree=18\degree+\angle FXY

\angle FXY=72\degree

Consider ∆ BYX as right angle triangle. Therefore measure of angle FYX is,  

\angle BYX=\angle BYF+\angle FYX

\therefore 90 \degree=40\degree+\angle FYX

\angle FYX=50\degree

Refer attachment 1.  

From diagram consider the triangle FYX. To find the third angle that is ∠YFX can be calculated by using angle sum property of triangle.

∠YFX+∠FYX+∠FXY=180°

∠YFX+50°+72°=180°

∠YFX=58°

Refer attachment 2.  

Now the distance FY can be calculated using sin rule as follows,  

\frac{\sin X}{FY}=\frac{\sin F}{YX}=\frac{\sin Y}{FX}

Substituting the values,

\frac{\sin 72}{FY}=\frac{\sin 58}{34}=\frac{\sin 50}{FX}

Simplifying first two terms,

\frac{\sin 72}{FY}=\frac{\sin 58}{34}

Cross multiplying,

34\times\sin 72=FY\times \sin 58

\dfrac{34\times\sin 72}{\sin 58}=FY

FY=38.13 m

7 0
1 year ago
Is 9.373 a repeating decimal? Is it rational? Explain your reasoning.
Galina-37 [17]

its is not a repeating decimal and it is a rational number because a rational number is a number that does not have repeating decimal but a irrational number does have repeating decimal

6 0
2 years ago
Read 2 more answers
Tony scored 22 and 25 points in the first two games of a basketball tournament. Tony’s goal is to make the all tournament team.
saw5 [17]
He needs to score between 3.5 points more at the next game to make it to the all tournament team at the minimum. good luck with the question!!
8 0
1 year ago
A man spent 15/16 of his entire fortune in buying a car $7500. How much money did he possess?
Anvisha [2.4K]
X=his fortune
15/16X=7500
X=7500 x 16/15
X=8000
3 0
1 year ago
Read 2 more answers
A researcher wants to determine if preschool attendance is associated with high school graduation for low-income students. She r
Alik [6]

Answer:

(C) Whether or not a subject attends preschool

Step-by-step explanation:

In research studies, variables are used to explain differences in another variable. The explanatory variable (also known as independent or predictor variable) is used to explain differences in the response variable (dependent or outcome variable).

<em>It is important to know that the explanatory variable is the variable that is manipulated by the researcher. </em>

The facts that are not being manipulated are the income of the children studied, and what happens after attending or not preschool program. The variable the researcher is manipulating is the assignation to groups that will or will not attend preschool. Therefore the correct answer is:

(C) Whether or not a subject attends preschool

I hope you find this information useful and interesting! Good luck!

3 0
1 year ago
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