1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mrrafil [7]
3 years ago
8

You need to arrange sevenseven of your favorite books along a small shelf. How many different ways can you arrange the​ books, a

ssuming that the order of the books makes a difference to​ you?
Mathematics
1 answer:
Rashid [163]3 years ago
7 0
<span>The second is: You need to arrange nine of your. ... The second is: You need to arrange nine ofyour favorite books along a small shelf. Applying the fundamental of counting principle, How many different ways can you arrange the books, assuming that the order of the books makes a difference to you.</span><span>
</span>
You might be interested in
Use the functions h(x) = 2x + 5 and t(x) = 7x − 6 to complete the function operations listed below.
hram777 [196]

A. 9x-1 B. 14x+29 C. 14x-7

6 0
3 years ago
Assume each figure shown has the same orientation. Which figure is the image of square LMNP after a translation of (x, y) → (x +
creativ13 [48]

<u>Answer-</u>

Figure 4 is the image of square LMNP after a translation of (x, y) → (x + 5, y – 3)

<u>Solution-</u>

The co-ordinates of the vertices are,

L = (-3, 1)

M = (-1, 1)

N = (-1, -1)

P = (-3, -1)

A translation of (x, y) → (x + 5, y – 3) means, the point must be shifted 5 units right and then 3 units down.

After the transformation the new co-ordinates will be,

L = (-3+5, 1-3) = (2, -2)

M = (-1+5, 1-3) = (4, -2)

N = (-1+5, -1-3) = (4, -4)

P = (-3+5, -1-3) = (2, -4)

These are the co-ordinates of the figure no. 4

6 0
3 years ago
Read 2 more answers
I need help plzzzzzz
eduard
The answer is 3.7a+3b

Because you combine like terms
3 0
3 years ago
Read 2 more answers
Math halp please. Ty
77julia77 [94]
The 1st one is the right answer
4 0
3 years ago
INFO: The chairs are evenly spaced around
lana66690 [7]

Answer: About 72 feet

The more accurate value is roughly 71.7260397 feet (however, this value isn't fully exact either).

======================================================

Explanation:

Check out the diagram below. It's effectively the same diagram your teacher provided, but I've added points M and N. I've left out any unnecessary lines.

  • M = center of the circle
  • N = location where the cable is anchored to the ground

We're told that "(the length of cable from) E to the ground is 35 feet", so this is the red portion of cable that I've marked this as NE = 35, ie segment NE is 35 feet long. We're also told that NF = 40 feet, which is also shown in red.

The blue portions are chords of the circle. We're given one chord as LE = 80 ft, while the other chord JF is what we want to find out.

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

What we need to find is the radius of this circle. Right away, it's not clear what the radius is; however, we can use the chord LE = 80 to help find it.

It turns out that the chord length c is connected to the radius r and central angle theta like so:

c = 2*r*sin(0.5*theta)

where theta must be in radian mode. The central angle subtends the arc that forms the chord in question.

If we started at point L, and counted the number of spaces to get to E while going clockwise, then we can see that there are 5 spaces

Those five spaces could be written as

  1. The jump from L to A
  2. The jump from A to B
  3. The jump from B to C
  4. The jump from C to D
  5. The jump from D to E

Or you could mark it as such on the diagram for a visual reference. Overall, the circle has been cut into 12 equal slices. So going from L to E, going clockwise, will have us take up 5/12 of the full circle.

There are 2pi radians in a full circle, meaning the central angle LME is (5/12)*2pi = 5pi/6 radians.

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

Plug theta = 5pi/6 and c = 80 into the formula mentioned. Isolate the radius.

c = 2*r*sin(0.5*theta)

80 = 2*r*sin(0.5*5pi/6)

80 = 2*r*sin(5pi/12)

80 = 2*r*0.9659258

80 = 2*0.9659258*r

80 = 1.9318516r

1.9318516r = 80

r = 80/1.931 8516

r = 41.4110483

The radius is approximate. The radius is in feet. Make sure your calculator is in radian mode.

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

Now that we know the radius, we can determine how long chord JF is.

The central angle for chord JF is angle JMF

If we start at J and go to F, along the shorter path, then we've gone 4 spaces. This is 4/12 = 1/3 of the full circle. So the radian measure of angle JMF is (1/3)*2pi = 2pi/3 radians.

So,

c = 2*r*sin(0.5*theta)

c = 2*41.4110483*sin(0.5*2pi/3)

c = 71.7260397

Chord JF is roughly 71.7260397 feet long.

When rounding to the nearest foot, that's about 72 feet.

6 0
2 years ago
Other questions:
  • I jogged for 3 2/5 miles in 7/8 hours what average speed in miles per 1 hour
    6·1 answer
  • A tip employee’s earnings most closely resemble those of which of the following? a. An employee working on straight commission b
    5·2 answers
  • 6. -2x - 1.4 = 6 + 3x
    12·1 answer
  • The probability ofwinning a game is 25%. How manytimes
    12·2 answers
  • Simplify the expression below (X^3)^2
    15·2 answers
  • Fill in the blank in the sentence below with the correct term.
    7·1 answer
  • Let g be the function given by g(x)=√ 1−sin2x. Which of the following statements could be false on the interval 0≤x≤π ?
    14·1 answer
  • On a scale drawing a dog house is 6 centimeters tall. If the actual dog house is 51
    6·1 answer
  • the sum of the digits of the two-digit number is 5. when the digits are reversed, the number increases by 27. Find the original
    13·2 answers
  • Solve for x. round to the nearest tenth​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!