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3 years ago

Are there any values of x or y which are not possible in the function

Mathematics

1 answer:

Pavel [41]3 years ago

8 0

You must realize that it depends on the function ...
something that you've kept hidden from us.

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A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, whic

Rainbow [258]

angles formed by these tosses are $79.45, 59.02$ and $41.53$ degrees to the nearest hundredth.

Step-by-step explanation:

Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.

The Law of Cosines (also called the Cosine Rule) says:

$c^2 = a^2 + b^2 - 2ab (cosx)$

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

⇒ $c^2 = a^2 + b^2 - 2ab (cosx)$

⇒ $c^2 -a^2 - b^2 = -2ab (cosx)$

⇒ $(cosx) =\frac{ c^2 -a^2 - b^2}{ -2ab}$

⇒ $(cosx) =\frac{(8.6^2 - 5.8^2 - 7.5^2)}{ ( -2(5.8)7.5)}$

⇒ $(cosx) =0.18310$

⇒ $cos^{-1}(cosx) = cos^{-1}(0.18310)$

⇒ $x = 79.45$

The Law of Sines (or Sine Rule) is very useful for solving triangles:

$\frac{a}{sin A} = \frac{ b}{sin B} = \frac{c}{sin C}$

We can now find another angle using the sine rule:

⇒ $\frac{ 8.6 }{ sin 79.45} = \frac{7.5}{ sin Y}$

⇒ $sin Y = \frac{(7.5 (sin 79.45))}{ 8.6}$

⇒ $Y = 59.02 degrees$

So, the third angle = $180 - 79.45 - 59.02 = 41.53 degrees.$

Therefore, angles formed by these tosses are $79.45, 59.02$ and $41.53$ degrees to the nearest hundredth.

4 0

4 years ago

What is the aswer ??????

mars1129 [50]

Answer:

A prime number is one which can be divided only by itself

please give brainliest

8 0

3 years ago

Read 2 more answers

Write a system of equations and then solve by the method of any chose. Reserved seat tickets for the football game cost 4.00 eac

beks73 [17]

Answer:

General tickets were 1,356 and reserved tickets were 431

Step-by-step explanation:

Let general tickets be g and reserved r

r + g = 1787

4r + 3g = 5792

Use first equation to solve for r

r = 1787-g

Substitute r in the second equation by (1787-g);

4(1787-g) +3g = 5792

7148 - 4g +3g = 5792

Group the numbers on one side and the unknown variables on the other side and solve for g;

7148 - 5792 = 4g-3g

1356 = g

With g= 1356, find r using any of the first two equations;

r+1356 = 1787

r = 1787 - 1356

r = 431

Therefore, general tickets were 1,356 and reserved tickets were 431

4 0

4 years ago

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each

Mamont248 [21]

Answer:19.5

Step-by-step explanation:

7+7=14

14+0.20=14.2

14.2+5=19.2

19.2+0.30=19.5

Your answer is:19.5

5 0

3 years ago

Last week, there were 450 student absences at Johnson High. The circle graph below summarizes them by the day of the week on whi

Rus_ich [418]

Answer:

Percentage of absentees on Tuesday = 16%

Step-by-step explanation:

Sum of all central angles representing days = 360°

Central angle of the sector representing Tuesday = 57.6°

Therefore, percentage absentees on Tuesday

= $\frac{\text{Measure of central angle for Tuesday}}{\text{Sum of all central angles}}\times 100$

= $\frac{57.6}{360}\times 100$

= 16%

Percentage of absentees on Tuesday = 16%

7 0

3 years ago