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gulaghasi [49]
3 years ago
12

Kim receives time-and-a-half for any hours worked exceeding the normal 38 hours per week. The normal hourly rate is $13.63. In a

particular week Kim receives $671.28. How many hours overtime did he work in that week?
Mathematics
1 answer:
Gala2k [10]3 years ago
3 0
13.63 * 38 = 517.94 
671.28 - 517.94 = 153.88
153.88 : 13.63 = 11.25 the number of hours she overworked

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Write the tangent, cosine and sine ratios of angles X & Y. Write each answer as a (reduced) fraction. Not a decimal.
Alisiya [41]

The tangent, cosine and sine ratios of angles X & Y in the reduced faction form is 3/4, 4/5 and 3/5 respectively.

<h3>What are the trigonometry ratios?</h3>

For a right angle triangle, the trigonometry ratios can be given as,

\rm \sin \theta=\dfrac{b}{c}\\\rm \cos \theta=\dfrac{a}{c}\\\rm \tan \theta=\dfrac{b}{a}

Here, <em>a</em> is base side<em>, b</em> is perpendicular side and<em> c</em> is the hypotenuse side of the triangle.

In the given triangle, the length of base side<em> </em>is 8 units, perpendicular side is 6 units and hypotenuse side is 10 units.

a=8\\b=6\\c=10

Thus, the  tangent, cosine and sine ratios of angles X & Y are,

\rm \sin \theta=\dfrac{6}{10}=\dfrac{3}{5}\\\rm \cos \theta=\dfrac{8}{10}=\dfrac{4}{5}\\\rm \tan \theta=\dfrac{6}{8}=\dfrac{3}{4}

Thus, the tangent, cosine and sine ratios of angles X & Y in the reduced faction form is 3/4, 4/5 and 3/5 respectively.

Learn more about the trigonometry angles here;

brainly.com/question/20519838

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6 0
2 years ago
CAN SOMEONE HELP ME WITH THIS PLZ! &lt;3
coldgirl [10]

Answer:

D. A = πr^2

Step-by-step explanation:

The formula of the area of a circle is <u>A = πr^2</u>.

6 0
2 years ago
Read 2 more answers
The Frill family and the Smith family go to the movies.
Sati [7]

Step-by-step explanation:

Let a be the price of 1 adult ticket.

Let c be the price of 1 child ticket.

given,

6a + 2c = 124

as equation 1,

and

3a + 5c = 100

as equation 2.

Now we will solve for a and c using elimination method of simultaneous equations.

Now we multiply equation 2 by 2 to eliminate a and solve for c.

3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200

This new equation will be equation 3.

Now we will use equation 1 - equation 3 to eliminate a and solve for c.

(6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) =  - 76 \\  - 8c =  - 76 \\ c =  - 76 \div  - 8 \\  = 9.5

Now substitute c into equation 2.

3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\  = 17.5

Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.

7 0
2 years ago
8. Do the following tables represent a linear or non-linear relationship?
Dennis_Churaev [7]

Answer:

the first table is a non-linear relationship and the second table is a linear relation ship because the first table as a curve in its line and it is not straight making it non-linear the second table is linear because it forms a straight line making it linear

Step-by-step explanation:

to find a linear relationship place the points on the graph. then if the they form a straight line then your table is linear

Also to find a nonlinear relation ship place the points that are given to you on a graph and if they are not a straight line then they are a nonlinear relationship

6 0
3 years ago
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(5x^2-4X + 7) - (4x + 2)
DanielleElmas [232]
5x’2-4x+7-4x-2
We add the two 4
5x’2-8x+7-2
5x’2-8x+5
The answer is
5x’2 -8x +5
3 0
3 years ago
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