Circle O has a radius of 5 centimeters and central angle AOB with a measure of 60°. Describe in complete sentences how to find the length, in terms of a radian measure, of AB.

Answer:

[tex]\frac{2}{81}[/tex]

Step-by-step explanation:

There is a common ratio between consecutive terms in the sequence

r = [tex]\frac{-\frac{2}{3} }{2}[/tex] = [tex]\frac{\frac{2}{9} }{-\frac{2}{3} }[/tex] = [tex]\frac{-\frac{2}{27} }{\frac{2}{9} }[/tex] = - [tex]\frac{1}{3}[/tex]

To find a term in the sequence multiply the previous term by - [tex]\frac{1}{3}[/tex] , then

a₅ = - [tex]\frac{1}{3}[/tex] × a₄ = - [tex]\frac{1}{3}[/tex] × - [tex]\frac{2}{27}[/tex] = [tex]\frac{2}{81}[/tex]

9514 1404 393

Answer:

  (b)  7720 mm² of paper

Step-by-step explanation:

The central horizontal rectangle of the net is 80 mm high and ...

  40 + 5.5 + 40 + 5.5 = 91

mm long. Its area 9 is ...

  (80 mm)(91 mm) = 7280 mm²

__

The two pieces of the net not accounted for above are the "flaps" above and below the central rectangle. Each of those two has an area of 40 mm by 5.5 mm, so their total area is ...

  2(40 mm)(5.5 mm) = 440 mm²

Then the area of paper needed for the wrapper is ...

  total area = 7280 mm² + 440 mm²

  total area = 7720 mm²

Answer:

remember powers is like multiplying that number by itself 3x3x3x3x3x3x3x3x3x3x3 ÷ 3x3x3x3

the second problem 3x3x3 × 3

(If that helps

Answer:

2x=2y-6 equals x-y=-3 and y=x-2 equals x=2

Step-by-step explanation:

i hope this helps

Answer:

only 0

Step-by-step explanation:

8g < 4 simplifies to g < 4/8, i.e., g < 1/2

only 0 is smaller than 1/2

Answer:

k x 1/2

Step-by-step explanation:

because k x 1/2 = k/2

Answer:

(-2,5)

Step-by-step explanation:

4x+4y=12

6x-4y=-32

10x=-20

x=-2

4(-2)+4y=12

-8+4y=12

4y=20

y=5

Answer:

x=303/100 = 3 3/100= 3.03

Step-by-step explanation:

Answer:

3 spoons and 6 forks

Step-by-step explanation:

9 = x + y; x= 9-y

44 = 4x + 6y

44 = 4(9-y) + 6y

44 = 36 - 4y +6y

44 = 36 +2y

2y = 44-36 = 12

y = 12/2 =6

x= 9-y = 9-6 =3

Answer:

$600,000

Step-by-step explanation:

interest = 3/100 × 40,000 = $1200

4 months = 1/3 years

[tex]p = \frac{100 \times i}{rt} = \frac{100 \times 1200}{3 \times \frac{1}{3} } = 120000[/tex]

$120,000 in 1 year

5years, 120,000×5 = $600,000

Answer:

here u go

Step-by-step explanation:

$600,000

Step-by-step explanation:

interest = 3/100 × 40,000 = $1200

Answer:

to me B makes the most sense

Step-by-step explanation:

hope this helps :)

Answer:

x by 1 times 15 to the third power

Step-by-step explanation:

Answer:

x= 41.8°

Step-by-step explanation:

use inverse trig to find x.

[tex]sin^{-1}[/tex]([tex]\frac{4}{6}[/tex])=x

type this into your calculator. (make sure the mode on your calculator is degree or it won't work)

x= 41.8

Hope This Helps:)

brainliest please

use inverse trig to find x

=x=41.8

Step-by-step explanation:

Head opposite angles

2x= 3x-42

x= 42°

the angles are 84°

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x is 42 and the measure of the two given angles is 84° each.

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.

The two of the given angles are vertically opposite angles, therefore, the measure of the two given angles will be the same.

(2x)° = (3x - 42)°

2x = 3x - 42

Subtract 2x from both sides of the equation and add 42 to both sides of the equation,

2x - 2x + 42 = 3x - 42 - 2x + 42

42 = 3x - 2x - 42 + 42

42 = x

Therefore, the value of x is 42. Now, the measure of each angle can be written as,

(2x)° = 2(42) = 84°

(3x - 42)° = 3(42) - 42 = 84°

Hence, the value of x is 42 and the measure of the two given angles is 84° each.

Learn more about Vertical Angles here:

https://brainly.com/question/24460838

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Answer: Options A. 2^-6 and C. 4^-3 are equivalent to 1/64

Step-by-step explanation: hope this helps :D

Answer:

A. 2 -6 and C. 4 -3

Step-by-step explanation:

Answer:

Wait what

Step-by-step explanation:

Answer:

Step-by-step explanation:

Circumference is:

Then the radius:

The area:

Half of the area:

Fertilizer needed:

Answer:

-70

Step-by-step explanation:

If a number is right by a parathesis () then you multiply the number inside the parathesis by the number next to them.

Answer:

No, The triangles are not congruent because the hypotenuse lengths are different.

Step-by-step explanation:

Please mark brainliest.

Answer:

I think 48, since it's an equilateral triangle.

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

cuz its a equilateral triangle

Answer:360

Step-by-step explanation:g-g5

The rate of interest will be 0.35.

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

[tex]CI = P(1+\frac{r}{n}) ^{nt} -P[/tex]

and, the Amount is given by

[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]

Where,

A is amount

P is principal

r is rate of interest

n is number of times interest is compounded per year

t is time

According to the given question

Principal, P = $210

Amount, A = $250

Time, t = 5 years

n = 1

Therefore, the interest rate is given by

Amount = [tex]P(1+\frac{r}{n}) ^{nt}[/tex]

⇒[tex]250 = 210(1+\frac{r}{1}) ^{5}[/tex]

⇒[tex]\frac{250}{210} =(1+r)^{5}[/tex]

⇒[tex]1.19 = (1+r)^{5}[/tex]

⇒[tex]\sqrt[5]{1.19} = 1+r\\[/tex]

⇒ 1.035 = 1 + r

⇒ r = 1.035 - 1

⇒ r = 0.35

Hence, the interest rate is o.35.

Learn more about compound interest here:

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Answer:

b, c, and d are solutions

Step-by-step explanation:

3x - 2 < 2 - 2x

5x - 2 < 2

5x < 4

x < 4/5

b) 1/2 < 4/5  true

c) -3 < 4/5  true

d) 2/3 < 4/5  true

Answer:

8.66 m

Step-by-step explanation:

Given that,

The distance from the top of the building to the tip of the shadow is 14 m

The height of the building is 11 m.

We need to find the length of the shadow. we can see that the length of the shadow forms the base of the triangle.

The distance from the top of the building to the tip of the shadow form hypotensue and height of the building forms perpendicular. So, we can use Pythagoras theorem to find the base.

So,

[tex]H^2=b^2+h^2\\\\b^2=H^2-h^2\\\\b=\sqrt{14^{2}-11^{2}}\\\\b=8.66\ m[/tex]

So, the length of the shadow is 8.66 m.

Answer:

5

Step-by-step explanation:

6/4 = 7.5/x

7.5/1.5=5

Answer:

2/7 is correct answer

oky na

[tex] \Large \underline{\tt Given} :[/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \Large \underline{\tt To \: Find} :[/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \Large \underline{\tt Solution} :[/tex]

[tex] \\ [/tex]

As, we have :

Students present on Monday = [tex] \tt \dfrac{5}{7} of 35[/tex]

[tex] \\ [/tex]

[tex] \tt : \implies Students \: present \: on \: Monday = \dfrac{5}{7} \times 35[/tex]

[tex] \tt : \implies Students \: present \: on \: Monday = \dfrac{5}{\cancel{7}} \times \cancel{35}[/tex]

[tex] \tt : \implies Students \: present \: on \: Monday = 5 \times 5[/tex]

[tex] \tt : \implies Students \: present \: on \: Monday = 25[/tex]

[tex] \\ [/tex]

Now, we have to find students not present on Monday :

As, we have :

[tex] \\ [/tex]

Therefore,

Students absent on Monday = 35 - 25 = 10

[tex] \\ [/tex]

Hence, 10 students were not present on Monday.

Answer:

y=7x+26

Step-by-step explanation:

First we have to find the slope of the lines.

(-4,-2)      

(-3,5)    

Our slope is going to equal 7

then we take a point and use it to find the equation

y--2=7(x--4)

y+2=7x+28

y=7x+26