2. Consider the division operations below and choose whether the result can be rational,
irrational, or both.
Expressions
Rational
Irrational
O
O
Flá na por laskas
5
16
o
o

Answer:

9680 ft^2

Step-by-step explanation:

1 acre = 43,560 ft^2

(2/9) acre = (2/9)*43,560 ft^2

(2/9) acre = 9680 ft^2

Hi ;-)

This angle is

Answer:

This is an obtuse angle

Step-by-step explanation:

Anything over 90 degrees is obtuse

Answer:

θ = 0.9626

Step-by-step explanation:

Hi there!

We're given the hypotenuse and the leg adjacent to θ in this right triangle. To find θ, we can use the cosine ratio:

[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]

Plug in the given information

[tex]\displaystyle cos\theta=\frac{4}{7}[/tex]

Use the inverse cosine ratio

[tex]\displaystyle \theta=cos^-^1(\frac{4}{7})[/tex]

Plug this into your calculator (and ensure you're solving for radians instead of degrees in the settings)

[tex]\displaystyle \theta=0.9626[/tex]

Therefore, θ = 0.9626 when rounded to four decimal places.

I hope this helps!

Answer:

theta = 0.9626 radians

Step-by-step explanation:

cos theta = a/h

cos theta = 4/7 = 0.5714

so, the angle theta = arc cos 0.5714 =

55.1520 °

in radians => 55.1520 × π / 180°

= 0.9626 radians

Answer:

707.7, or 707

Step-by-step explanation:

0.18 x 7.85 g = 1.413 g/one bearing. Total amount of bearings: 1kg = 1000 g/1.413

Answer:

123.4

Step-by-step explanation:

The two answers you are looking for are 16π m² and 50.24 m².

Solution:

Finding the area of the circle,

First, knowing what the area of a circle formula is:

A=πr²

Since knowing that the radius is half the length of the diameter,

If the diameter is 8, then the radius must be 4.

A=π(4)²

A=16π m²

Now, you have the first answer. If you want to express it differently,

Using 3.14 as pi,

So, therefore,

A=16(3.14)

A=50.24 m²

So, now, we can conclude that the two answers you are looking for for the area of this circle are 16π m² and/or 50.24 m².

Answer:

16pi and 50.24 m squared

Step-by-step explanation:

Answer:

[tex]r = 2 \\ h = 5 \\ a = 2\pi \: rh + 2\pi {r}^{2} \\ = 2\pi \times 2 \times 5 + 2\pi {2}^{2} \\ = 20\pi + 8\pi \\ = 28\pi \\ = 28 \times 3.14 \\ = 87.92 {unit}^{2} \\ thank \: you[/tex]

Answer:

answer is c because you gota tranlate it left

Step-by-step explanation:

Answer:

NL= 2 × HI

x+24 =2 × (X+16)

x+24=2x + 32

2x-x= 24-32

x= – 8

NL=x+24 = –8 +24= 16

So ; NL= 16

I hope I helped you^_^

Answer:

Step-by-step explanation:

buzhou一=12212+13。8.12+13.8=25.8          25.8x9.4=?242.52242.522

The area of the trapezoid is given by A = 121.26 feet²

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the area of the trapezoid be represented as A

Now , the equation will be

Let the height of the trapezium be H = 9.4 feet

The shorter base of the trapezium a = 12 feet

The longer base of the trapezium b = 13.8 feet

Now , Area of Trapezoid = ( ( a + b ) h ) / 2

On simplifying the equation , we get

Area of Trapezium A = ( ( 13.8 + 12 ) 9.4 ) / 2

Area of Trapezium A = 121.26 feet²

Hence , the area of trapezium is 121.26 feet²

To learn more about area of trapezium click :

https://brainly.com/question/12221769

#SPJ2

Answer:

A, B, C, and E

Step-by-step explanation:

A) -4 X-3 = 12

B) 6 x 2 = 12

C) -6 X-2 = 12

D) 3 X-4 = -12

E) 12 x 1 = 12

the expressions that have a value of 12 are :

A, B, C, and E

Answer:

Lets find

[tex]\\ \rm\longmapsto -4(-3)=12\checkmark[/tex]

[tex]\\ \rm\longmapsto 6(2)=12\checkmark[/tex]

[tex]\\ \rm\longmapsto -6(-2)=12\checkmark[/tex]

[tex]\\ \rm\longmapsto 3(-4)=-12\checkmark[/tex]

[tex]\\ \rm\longmapsto 12(1)=12\checkmark[/tex]

a = 16

a1 = 1/6

n=9

an = a1 (r n-1)a9 = a1

a9 = 1/16 (-2 9-1)

a9 = 1/16 (-28)

a9 = 1/16 (256)

a9 = 16

I hope this helps :)

Answer:

765

Step-by-step explanation:

1)4.25/100=0.0425

2)0.0425*3600=153

3)153*5=765

Answer:

If it goes to the left it becomes in the hundredths place meaning it decreases

Step-by-step explanation:

Answer:

[tex] \frac{x + 11}{8} = - 3 \\ x + 11 = - 3 .8 \\ x = - 24 - 11 \\ x = - 33[/tex]

maaf jika salah

Answer:

x=-35

Step-by-step explanation:

x+11=-3*8

x+11=-24

x=-24-11

x=-35

Finance charge is the amount it costs of borrowing money

The finance charge that will appear in each year's profit and loss expense in the lessee's books are;

[tex]\begin{array}{|c|cc|}\mathbf{Year}&&\mathbf{Finance \ Charge \ (Kshs)}\\&&\\First&&1.8\\&&\\Second&&1.499\\&&\\Third&&1.171\\&&\\Fourth&&0.814\\&&\\Fifth&&0.424\end{array}\right][/tex]

The total financial charge = 5 × 5.142 - 20.000 = 5.71

The annual percentage rate, APR, of an instalment payment is given as follows;

[tex]\dfrac{(1 - (1 + r)^{-5}}{r} \times 5.142 = 20.000[/tex]

Solving using a graphing calculator gives;

r = APR ≈ 0.09 = 9%

The calculation for charges each year is as follows:

Payment interest for the first instalment = 20 × 9% = 1.8

The principal of the first payment = 5.142 - 1.8 = 3.342

The loan balance = 20 - 3.342 = 16.658

Payment interest for the second instalment = 16.658 × 9% = 1.49922

Second payment principal = 5.142 - 1.49922 = 3.64278

Loan balance = 16.658 - 3.64278 = 13.01522

Payment interest for the third instalment = 13.01522 × 9% = 1.1713698

Third payment principal = 5.142 - 1.1713698 = 3.9706302

Loan balance = 13.01522 - 3.9706302 = 9.0445898

Interest for the fourth payment = 9.0445898 × 9% = 0.814013082

Fourth payment principal = 5.142 - 0.814013082 ≈ 4.327986918

Loan balance = 9.0445898 - 4.327986918 = 4.716602882

Fifth payment interest = 4.716602882 × 9% = 0.42449425938

Fifth payment principal = 5.142 - 0.42449425938 ≈ 4.718

Therefore, we have;

[tex]\begin{array}{|c|cc|}\mathbf{Year}&&\mathbf{Finance \ Charge \ (Kshs)}\\&&\\First&&1.8\\&&\\Second&&1.499\\&&\\Third&&1.171\\&&\\Fourth&&0.814\\&&\\Fifth&&0.424\end{array}\right][/tex]

Learn more about the actuarial method here:

https://brainly.com/question/15504405

Answer:

650+35w>825+15w

Step-by-step explanation:

Answers:

12. 2 3/5+1 4/6 = (2+1)+(3/5+4/6) = 3+19/15 = 64/15

13. 2/4*4/6 = 8/24 = 1/3

14. 3/4*3/6 = 9/24 = 3/8

15. 2/6*4/6 = 8/36 = 2/9

16. 2/4*1/6 = 2/24 = 1/12

17. 3/4/1/6 = 18/4 = 9/2

18. 3/4/2/4 = 12/8 = 3/2

19. 3/6/4/6 = 18/24 = 3/4

20. 5/7+2/7 = 7/7 = 1

21. 4/5+5/7 = 53/35

22. 3/5+5/5 = 8/5

23. 1/6-1/6 = 0

24. 3/7-2/3 = -5/21

25. 3/5-2/7 = 11/35

Answer:

1/24 chance

Step-by-step explanation:

To begin you would need to find the probability of picking a green sock which would be 3/9; and you could simplify this to 1/3.

After that you need to find the probability of picking a purple sock out of the 8 left, which would provide you with 1/8. To find the probability of both you would multiply 1/8 by 1/3 to find the combined probability which would leave you with 1/24.

Answer:

Step-by-step explanation:

The answer is actually

Let:

S=1+2+3+4+5+6+7+8+9+n

We know the answer to the following infinite sum:

S2=1-1+1-1+1-1+1-1+1-1+1-1+1-....= - 1/2

We can therefore solve for this sum:

S3=1-2+3-4+5-6+7-8+9-....

We add them:

S3=      1-2+3-4+5-6+7-8...

S3=       +1-2+3-4+5-6+7-8...

        ________________

2S3=    1-1+1-1+1-1+1-1+1-....

Therefore:

2S3=S2=

Step-by-step explanation:

a1 = -4 = -4/1, a2 = 8/3

r = a2/a1 = (8/3) / (-4/1) = -2/3

the formula :

an = a1. r^(n-1)

so,

an = (-4). (-2/3)^(n-1)

Step-by-step explanation:

[tex]-4, \dfrac{8}{3}, -\dfrac{16}{9}, \dfrac{32}{27}, -\dfrac{64}{81},..., (-1)^n\dfrac{2^{n + 1}}{3^{n - 1}}, ...[/tex]

9514 1404 393

Answer:

  20 years

Step-by-step explanation:

The interest earned is found using the formula ...

  I = Prt

where principal P is invested at rate r for t years. Solving for t, we find ...

  t = I/(Pr) = $900/($1500×0.03) = 900/45

  t = 20

You must leave the money in the account for 20 years to earn $900 in interest.

Answer:

C. $11.55

Step-by-step explanation:

First, multiply 4 by $0.85 to get an answer of $3.40. Next, multiply 6 by $1.25 to get an answer of $7.50. Add up the cost of the pencils and pens by adding $3.40 and $7.50 to get $10.90. Next, we have to add the tax. Multiply $10.90 by 0.06 to get $.65. Add the $.65 to the $10.90 for a grand total of $11.55. Hope this helps!

Answer:

20000

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

40+30+70=140

180-140= 40

Answer:

+or-6

Step-by-step explanation:

This is a trick question. The answer would be the first choice since you're multiplying -6 by +or-6, meaning that it could still end up as a negative or a positive.

Answer:

Step-by-step explanation: