What is the length of CD?
Round to one decimal place.

C
5.6
4
A
B
D
5.1

Answer:

[tex]14 tan\theta = -48[/tex]

Step-by-step explanation:

[tex]cos \theta = \frac{-7}{25}\\\\cos^2 \theta = \frac{49}{625}\\\\sin^2 \theta = 1 - cos^2 \theta\\\\[/tex]

        [tex]=1 - \frac{49}{625}\\\\=\frac{625-49}{625}\\\\=\frac{576}{625}\\\\[/tex]

[tex]sin \theta = \sqrt{\frac{576}{625}} = \frac{24}{25}[/tex]

[tex]tan \theta = \frac{sin \theta}{cos \theta}[/tex]

          [tex]=\frac{\frac{24}{25}}{\frac{-7}{25}}\\\\=\frac{24}{25} \times \frac{25}{-7}\\\\=\frac{-24}{7}[/tex]

[tex]14 tan \theta = 14 \times \frac{-24}{7} = 2 \times -24 = -48[/tex]

Answer:

(0, 3)

Step-by-step explanation:

y= 3 when x=0

Answer:

Option B, 8 / 6

Step-by-step explanation:

Tangent = Opposite / Adjacent

Tangent of ∠A = Opposite / Adjacent

Tan(A) = 8 / 6 which is the same as Option B

Hope this helps!

Answer:

I would say about a billion because numbers can be put in any combination

Step-by-step explanation:

EXAMPLES:

012345678

023456781

034567812

045678912

123456780

234567801

345678012

456780123

567801234

678012345

780123456

801234567

123456789

234567891

345678912

456789123

567891234

678912345

789123456

891234567

912345678

There are 3,628,800 possible ways to create passwords .

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set.

The symbol [tex]P_{r} ^{n}[/tex] = [tex]\frac{n!}{(n-r)!}[/tex]

is used to denote the number of permutations of n distinct objects, taken r at a time.

According to the question

Website requires users to create a password consisting of digits only.

i.e  Digits are:

0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 7 , 8 , 9 = total 10 digits

no digit may be repeated and each password must be at least 9 digits.

i.e Digits taken at a time is 9 with no repetitions

Now ,

Applying permutation

[tex]P_{r} ^{n}[/tex] = [tex]\frac{n!}{(n-r)!}[/tex]

substituting the value

n = 10

r = 9

[tex]P_{9} ^{10}[/tex] = [tex]\frac{10!}{(10-9)!}[/tex]

[tex]P_{9} ^{10}[/tex] = 10!

     = 3,628,800

Hence, There are 3,628,800 possible ways to create passwords .

To know more about  permutations here:

https://brainly.com/question/1216161

#SPJ2

Answer:

22.8

Step-by-step explanation:

(18²+14²)½

= 22.8

Answer:

0.7 repeating is 7/9

0.04 repeating is 4/99

4.45 repeating 4 4/11

2.19191919...... is 2 19/99

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

150% increase

Step-by-step explanation:

what is the center of the circle !

a) Very unlikely (1/30)

b) Unlikely (6/30)

c) Likely (15/30)

mark me brainliestt :))

Answer:

Step-by-step explanation:Hly/3fcEdSxere's li[tex]^{}[/tex]nk to the answer:

bit.[tex]^{}[/tex]

Answer:

a 2 and 3 step by step exolaniation

Step-by-step explanation:

5 = 5(-4)+c

5 = -20 + c

5+20= 25

25= c

so

y = 5x + 25

Answer:

m= 5

Points=(-4,5)

y-y'= m(x-x')

y-5 = 5(x-(-4)

y-5=5(x+4)

y-5=5x + 20

y - 5x -25 = 0

Or

y= 5x + 25.

Answer:

the Midian is 9

mode is 3

mean is 6

it ranges from 3 to 12

Answer:

Step-by-step explanation:

Correct choice is B

Answer:

243cm squared

Step-by-step explanation:

Answer:

x+41=90

Step-by-step explanation:

Because that is square which means 90 degrees so 41 degrees plus x equals to 90

Hi there!  

»»————-　★　————-««

I believe your answer is:  

The second option, [tex]\boxed{x+41=90}[/tex].

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

We can use the information given to set up an equation.

[tex]\boxed{\text{An equation to find 'x'.}}\\\\\text{The sum of the angle's measurements: }90$^{\circ}$\\\\\text{The given measurement for one of the angles: }41$^{\circ}$\\\\----------------\\\\\underline{The sum of the two angle measurements would be 90 degress.}\\\\\text{Given angle mesurement} + x = 90\\\\\boxed{41 + x = 90}[/tex]

Option B matches the equation made. Therefore, option B should be the correct answer.  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Step-by-step explanation:

I imagine you are in the section in math that teaches about systems! We need a system here to solve this problem...meaning we have 2 unknowns and we need to write 2 equations to solve for them. The first equation will involve the NUMBER of tickets sold, while the second equation will involve the COST of the tickets. These are 2 very different things, and we have what we need to write each equation. First the number of tickets equation:

We know that the number of student tickets (s) and the number of non-student tickets (n) totaled 15 tickets. That means the numbers equation is

s + n = 15

Now onto the money. Since s is student tickets, and each student ticket cost 12.50, the expression for that is 12.5s; since n is non-student tickets and each non-student ticket cost 18.50, the expression for that is 18.5n. That is the money expression for each type of ticket, and we know that the sales of these tickets totaled 223.50; therefore, the money equation is

12.5s + 18.5n = 223.5 (notice I dropped off the 0's since we don't need them).

Go back to the first equation and solve it for either s or n. I solve is for s:

If s + n = 15, then

s = 15 - n. Sub that into the second equation in place of s now:

12.5(15 - n) + 18.5n = 223.5 and simplify a bit by distributing to get

187.5 - 12.5n + 18.5n = 223.5 and combine like terms to get

6n = 36 so

n = 6. That means that there were 6 non-student tickets sold and

s + 6 = 15 student tickets sold:

s = 15 - 6 so

s = 9

Answer: <8.01, 5.60>.

Step-by-step explanation:

Vector:

[tex]v= (r\cos\theta,r\sin\theta)[/tex]

, where r = magnitude and [tex]\theta[/tex] = angle .

As per given,

[tex]u=(4\cos 50^{\circ}, 4\sin 50^{\circ})\\\\\approx(4(0.64),4(0.77))\\\\=(2.56, 3.08)[/tex]

[tex]v=(6\cos 25^{\circ}, 6\sin 25^{\circ})\\\\\approx(6(0.91),6(0.42))\\\\=(5.46, 2.52)[/tex]

Consider

[tex]u+v=(2.56,3.08)+(5.46,2.52)\\\\=(2.56+5.46,3.08+2.52)\\\\=(8.02,\ 5.60)[/tex]

Hence, the correct option is <8.01, 5.60>.

Answer:

Step-by-step explanation:

mass of person decreased=50kg-40kg

=10kg

decrease percentage=10/50*100

=10*2

=20%

Answer:

11

Step-by-step explanation:

1. First do the brackets because BEDMAS

So, (12÷4+1) = 4

2. 15 - 1 x 4

3. 15 - 4

4. 11

Hope this helps! :)

Use the symbolab website/app it's really helpful

Answer:

d. 16 feet

Step-by-step explanation:

x² + 12² = 20²

x² + 144 = 400

x² + 144 - 144 = 400 - 144

x² = 256

√x² = √256

x = 16

Answer:

See below.

Step-by-step explanation:

Remember SOHCAHTOA.

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

sin(64) = x / 94

Multiply both sides by 94.

94sin(64) = 94x / 94

Simplify

x = 94sin(64)

x = 84.487 = 84.5

Answer: 12.24744871

Hope this helps!!! :)

Answer: $11.30 per pound

Step-by-step explanation:

William spent $110.74 to buy 9.8 pounds of candy.

To find the cost per candy, divide the amount spent by the quantity of candy:

=Amount spent on candy / Quantity of candy

= 110.74 / 9.8

= $11.30 per pound

Answer:

$1182.65

Step-by-step explanation:

Given :

Fortnight gross pay = $1300

Given :

PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay

FNPF = 5% = 0.05 * $1300 = $65

PAYE = $31.85 ; HEALTH INSURANCE = $20.50

Total deduction = $(65 + 31.85 + 20.50) = $117.35

Net pay :

Gross pay - deduction

$1300 - $117.35 = $1182.65

Answer:

85

Step-by-step explanation:

2x + 29 + x - 23 = 180

solve for x = 28

b = 2 * 28 + 29 = 85

Answer:

C. -5

Step-by-step explanation:

If the two lines are parallel, they have the same slope. Therefore the slope of AB is -5.

Slope of line AB parallel to CD is -5

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx.

Given,

AB is parallel to CD

Slope of CD m = -5

When two lines are parallel

their slopes are same

m' is slope of AB

then

m' = m

m' = -5

Slope of AB is -5.

Hence, -5 is slope of line AB.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ7

Answer:

Option B

Step-by-step explanation:

Given function is,

f(x) = -|x - 4| + 6

By using a graphing tool we can get the graph of the given function.

From the graph attached slope of the line drawn from [tex]x=-\infty[/tex] to [tex]x=4[/tex] is positive while slope of the line from [tex]x=4[/tex] to [tex]x=\infty[/tex] is negative.

Therefore, segment showing a positive slope will be increasing in the given interval [tex]-\infty<x<4[/tex].

Function 'f' is increasing in the interval [tex]-\infty<x<4[/tex].

Option B will be the correct option.