Given the right angle triangle shown here, calculate:
1. a) sin(a)
17
2. a) sin(b)
8
b) cos(a)
b
b) cos(b)
15
c) tan(a)
c) tan(b)
Write trig. ratios for each.

Answer:

Robert can read the books in 129,600 different ways.

Step-by-step explanation:

The order in which the book are read is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

Top shelf:

4 books from a set of 6. So

[tex]P_{(6,4)} = \frac{6!}{2!} = 360[/tex]

Middle shelf:

2 books from a set of 3. So

[tex]P_{(3,2)} = \frac{3!}{2!} = 3[/tex]

Bottom shelf:

3 books from a set of 6. So

[tex]P_{(6,3)} = \frac{6!}{3!} = 120[/tex]

Total:

360*3*120 = 129,600

Robert can read the books in 129,600 different ways.

Answer:

112

Step-by-step explanation:\

Formula for Area- A(AREA)=L(LENGTH) times W(WIDTH)

If we follow this and plug in the Numbers we get the equasion- A=7x16

And so we solve and get the answer 112

hope this helped have a great day :3 (brainliest pls i need one more )

Answer:

I think B but not so sure

Answer:

Step-by-step explanation:

radius of semi circle=8/2=4 in

height of triangle=14-4=10 in.

area of composite figure=1/2×8×10+π×4²=40+16 π≈90.3 sq. in

Answer: The answer is 1:2, i hope it helps.

Answer:

you forgot to post the pic

Step-by-step explanation:

Answer:

Here's li^{} nk to the answer:

bit.^{} ly/3fcEdSx

it can be written like this, hope this helps: $15/hour <3

The hourly wage 15 dollars an hour as a fraction is $15/1hr.

A fraction represents a part of a number or any number of equal parts.

There is a fraction, containing numerator(upper value) and denominator(lower value).

When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction.

A proper fraction is also called fraction which is less than 1.

And an improper fraction is ≥ 1

A mixed fraction contains a sum of whole number and a proper fraction.

Given;

wage of 1hour = $15

In fraction;

15dollars/1hour

Therefore, the answer in fraction will be 15/1

Learn more about fraction;

https://brainly.com/question/729654?referrer=searchResults

#SPJ2

Answer:

[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + c[/tex]

In which m is the slope and c is the y-intercept(value of y when x = 0).

A(2;2) and B(-3;4)

When we have two points, the slope is the change in y divided by the change in x. So

Change in y: 4 - 2 = 2

Change in x: -3 - 2 = -5

Slope: [tex]m = \frac{2}{-5} = -\frac{2}{5}[/tex]

So

[tex]y = -\frac{2}{5}x + c[/tex]

A(2;2)

When [tex]x = 2, y = 2[/tex]. We use this to find c.

[tex]y = -\frac{2}{5}x + c[/tex]

[tex]2 = -\frac{2}{5}(2) + c[/tex]

[tex]c = 2 + \frac{4}{5} = \frac{10}{5} + \frac{4}{5} = \frac{14}{5}[/tex]

So

[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]

Answer:

A

Step-by-step explanation:

Arc length is given by the formula:

[tex]\displaystyle s=2\pi r\frac{\theta}{360^\circ}[/tex]

Where r is the radius and θ is the central angle, in degrees.

The windshield wiper has a radius of 20 inches and a central angle of 150°. Hence:

[tex]\displaystyle s=2\pi (20)\left(\frac{150}{360}\right)[/tex]

Use a calculator:

[tex]\displaystyle s=\frac{50}{3}\pi \approx52.36\text{ inches}[/tex]

Our answer is A.

Answer:

its (8+4)/(-2-2) so the slope is -3x

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the graph is completely proportional so the answer would be 1

Answer:

option B.

Step-by-step explanation:

Have a great day! :)

Answer:

A would be your answer

Step-by-step explanation:

at least  I am pretty sure I'm really sorry if I am wrong

Answer:

Step-by-step explanation:

Whether you’re job searching, working on your professional development, or building your career, you’ve probably been in a situation that warranted showing appreciation and gratitude. Perhaps you received a job lead and a pep talk from a former colleague. Maybe you had an informational interview with someone who has now taken you under their wing and is serving as a mentor. It might even be a family member who’s your greatest fan. Whatever the situation, one way to show gratitude is to write a thank-you note that expresses your appreciation.

Answer:

See the proof below

Step-by-step explanation:

prove that 1-cosA/sinA=cosecA-cotA​

Starting from RHS

cosecA-cotA​

From trig identty

cosec theta = 1/sintheta and cot theta = cos theta/sin theta

Hence;

cosecA-cotA​

= 1/sinA - cosA/sinA

FInd the LCM

= 1-cosA/sinA (LHS)

Answer:

[tex]x < -4[/tex]

[tex]-4 > x[/tex]

Step-by-step explanation:

Given

Description of number line

Range: -6 to 2

Open circle on -4

Left shaded

Required

Select the number line

From the question, we understand that the left side of the number line is shaded.

This means that the inequality is [tex]\le[/tex] or [tex]<[/tex]

Also, the open circle on -4 means that we discard [tex]\le[/tex].

So, the inequality is:

[tex]x < -4[/tex]

The opposite of the above inequality is:

[tex]-4 > x[/tex]

Answer:

A, D.  

Step-by-step explanation:

good luck with edge :)

Answer:

Kevin made 5 free throws and 3 two-point shots.

Step-by-step explanation:

Given that Kevin scored 11 points in his last basketball game, to determine if Kevin made two more free throws (one point each) than two-point shots how many of each shot did he make, the following calculation must be performed:

11 x 1 + 0 x 2 = 11

6 x 1 + 4 x 2 = 14

5 x 1 + 3 x 2 = 11

Therefore, Kevin made 5 free throws and 3 two-point shots.

Answer:

Step-by-step explanation:

Graph

Answer:

x = 50°

x = 70°

Step-by-step explanation:

A right angle is indicated by a small box.

The angles shown are right angles = 90° each. Therefore:

✔️x + 40° = 90°

Subtract 40° from each side

x = 90° - 40°

x = 50°

✔️x + 20° = 90°

Subtract 20° from each side

x = 90° - 20°

x = 70°

Answer:

40 feet

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

a² + 9² = 41²

a² + 81 = 1681

Subtract 81 from both sides

a² = 1600

Take the square root of both sides

a = 40

Answer:

5x

= 5(8)

= 40

I hope I've helped

Answer:

2b + 1.5c = 500

Step-by-step explanation:

Cost per brownie = $2

Cost per cookie = $1.50

Number of brownie = b

Number of cookie = c

Answer:

It is 40 degrees

Step-by-step explanation:

The 2 lines, x and y are forming 90 degrees, and since we know that part of that complementary angle is 50 degrees, we would do:

50+x=90

-50    -50

-------------

x=40

Answer:

determining your current financial situation.

Step-by-step explanation:

Answer:

determining your current financial situation

Step-by-step explanation: