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The length of the arc subtending a central angle of 9π/5 radians is 152.12m.

The radius of the given circle r = 26.9m

The measure of the central angle α = [tex]\frac{9\pi }{5}[/tex] radians

The arc of a circle is defined as the part or segment of the circumference of a circle. Its length is the product of the central angle(in radian) and radius of the circle.

So, the length of the arc subtending a central angle of 9π/5 radians

l = rα

l = 26.9 * 9π/5

l = 152.12m

Therefore, the length of the arc subtending a central angle of 9π/5 radians is 152.12m.

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Answer:

452.16 cm^2

Step-by-step explanation:

To find the area of a circle with the circumference we can say that half of the circumference is the radius. Hence our radius will be 12 cm.

A=[tex]\pi[/tex]r^2

A=[tex]\pi[/tex]12^2

A=[tex]\pi[/tex]144

A=144[tex]\pi[/tex]

We replace pi with 3.14

A=144*3.14

A=452.16

Answer:

3

Step-by-step explanation:

hope it is right and is helpful

Answer:

what is the question tho?

Step-by-step explanation:

Answer:

820000000 in standard form - Brainly.inhttps://brainly.in › Math › Secondary School

Step-by-step explanation:

Answer:

y=(x-5)^2

Step-by-step explanation:

Y= (x-5)^2

Y= 1/3x +8

Y - 4 = 2(x-1)

9x - 2y = -18

This equation is exponential so it won't have a straight slope.

There are two different ways you can do this, I have provided both below.

Answer: You can switch all the x and y coordinate values.

   For example, if you have (2, 1) you would graph (1, 2).

       Another example, if you have (677, 83) you would graph (83, 677)

Answer: Flip the graph over the line of y = x

   I have attached an example from lumenlearning.com.

Answer:

√91 lies between 9 and 10.

Step-by-step explanation:

Answer:98.9276

Step-by-step explanation:

The table displays the amount of time, in minutes, Jordan rode his bike for five days.  How many total hours did Jordan ride his bike in the five days?  ​​DayTime (minutes)​​11  ​4545  ​22  ​109109  33 ​5151 ​​44  ​121121  ​55  ​3838  ​Jordan rode his bike  total hours in the five days.

Answer:

above is the solution to the question

Answer:

9:18 = 1:2

Step-by-step explanation:

18/9 = 2

9/9 = 1

9:18 = 9/9:18/9 = 1:2

Answer:

$8,706

Step-by-step explanation:

Lionnel is considering doing some long term investments with the money she inherited

She would like to have $50,000 at the end of 30 years

The interest is 6%

Therefore the amount that Lionnel would need to put into the account can be calculated as follows

A= P(1+r)^t

50,000 = P(1+6/100)^30

50,000 = P (1+0.06)^30

50,000 = P(1.06)^30

50,000= 5.7434P

P = 50,000/5.7434

P= $8,706

Hence Lionnel will need to put $8,706 into an account earning 6% interest

Answer:

It's A-$8,706 :))

Step-by-step explanation:

The balance in his account at the end of 4 years will be $289.67.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Principal amount (P) = $250

Rate (r) = 3.75%

Time (t) = 4 years

Now,

Since, We know that;

⇒ [tex]A = P (1 + \frac{r}{100} )^t[/tex]

Where, A is the future amount.

P is the principal amount.

t is the time.

r is the rate.

Thus, By substitute all the values, we get;

⇒ [tex]A = P (1 + \frac{r}{100} )^t[/tex]

⇒ A = 250 (1 + 3.75/100)⁴

⇒ A = 250 (103.75/100)⁴

⇒ A = $289.67

Thus, The balance in his account at the end of 4 years will be $289.67.

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Answer:

21 students earn the reward

Step-by-step explanation:

15% is equivalent to the fraction 3/20 so, you must divide 140 by 20 then multiply by 3 to get the final answer of 21 students.

15% = 3/20
140 divided by 20 = 70
70 x 3 = 210
210 divided by 10 = 21

In conclusion, your answer would be that 21 students get the Presidential Physical Fitness Award.


Have a great rest of your day
#TheWizzer

Answer:

21 students earn the reward

Step-by-step explanation:

15% is equivalent to the fraction 3/20 so, you must divide 140 by 20 then multiply by 3 to get the final answer of 21 students.

15% = 3/20

140 divided by 20 = 70

70 x 3 = 210

210 divided by 10 = 21


credits to NovaWiz

Step-by-step explanation:

Answer:

the correct answer is choice 2

Step-by-step explanation:

reason being that both bc and ac would both be vertical lines so they have the same slope of undefined

Answer:

3.) A reflection across the y-axis

Hope this helps!

Answer:

D

Step-by-step explanation:

'D' is the only graph that illustrates a function

All of the other graphs would fail a 'vertical line test'; in other words, would have two y-values for each x-value

Answer:

Plug in those values for the x in the equations.

Step-by-step explanation:

f(x) = x^2 + x

   (x = -1) :: f(-1) = (-1)^2 + (-1)

                 f(-1) = -1 + -1

                 f(-1) = -2

   (x = 2) :: f(2) = (2)^2 + (2)

                 f(2) = 4 + 2

                 f(2) = 6

f(x) = x^2 - x

   (x = -1) :: f(-1) = (-1)^2 - (-1)

                 f(-1) = 1 - (-1)

                 f(-1) = 2

   (x = 2) :: f(2) = (2)^2 - (2)

                f(2) = 4 - 2

                f(2) = 2

f(x) = -x^2 - x

   (x = -1) :: f(-1) = -(-1)^2 - (-1)

                 f(-1) = -1 + 1

                 f(-1) = 0

   (x = 2) :: f(2) = -(2)^2 - (2)

                 f(2) = -4 - 2

                 f(2) = -6

Answer: $384

Step-by-step explanation:

Answer:

y = 3x - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 12 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

to find c substitute (1, - 2 ) into the partial equation

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y = 3x - 5 ← equation of parallel line

The equation can have no solution or as many solutions as possible

Terrence's conclusion that the equation has infinitely many solutions is false

The equation is given as:

101 - 6+ 2 = 4(3x - 1) - 2

Open the bracket

101 - 6+ 2 = 12x - 4 - 2

Collect the like terms

12x = 101 - 6+ 2 + 4 + 2

Evaluate the like terms

12x = 103

Divide both sides by 12

x =103/12

The above shows that the equation has one solution

Hence, Terrence's conclusion that the equation has infinitely many solutions is false

Read more about equation solutions at:

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Answer:

-50

Step-by-step explanation:

-71 + 21

-50

The 21 is positive so we subtract it off like when we do 1 - 1. The second 1 is negative to the first 1 who is positive.

Have an amazing day!

PLEASE RATE!!!

Answer:

420 × 2 = 820 feet total

100 yards = 300 feet

125 yards = 375 feet

300 + 375 = 675

820 - 675 = 145 feet

they have 145 feet left

Answer: 0.67

Step-by-step explanation: 0.67 is the largest because 3/5 is 0.6 and 2/3 is 0.6666666666666.

0.67 is the largest number.

A number system is defined as a system of writing to express numbers.

we need to find the largest number among 3/5, 2/3, 0.67 and 0.59

The given numbers are in the form of fractions and decimal.

Let us convert the fraction to the decimal numbers

3/5=0.6

2/3=0.666

0.67

0.59

In the given decimal numbers 0.67 is the largest number than other decimal numbers as there is 100th place of 7.

Hence, 0.67 is the largest number.

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Lets shift

[tex]\\ \rm\Rrightarrow f(x)=x^2[/tex]

[tex]\\ \rm\Rrightarrow g(x)=(x+2)^2[/tex]

[tex]\\ \rm\Rrightarrow g(x)=x^2+2x+4[/tex]

Answer:

g(x) = (x + 2)²

Step-by-step explanation:

In function notation, if we want to shift a function to the left, we add the number we are asked to move to the left inside the function's argument:

⇒ To shift f(x) b units to left → f(x + b)

Similarly, if we want to shift a function to the right, we subtract the number we are asked to move to the right inside the function's argument:

⇒ To shift f(x) b units to right → f(x - b)

Given function f(x) = x²

Shift 2 units to the left:  f(x + 2) = (x + 2)²

Therefore, g(x) = (x + 2)²

Answer:

y - 2, 3, 4, 5

Hope this helps :)

Answer:

Greatest common factor (GCF) of 60 and 64 is 4.

Step-by-step explanation:

The HCF of two numbers 60 and 64 is 4.

LCM is the least common multiple is the smallest number that is divisible by two or more than two given numbers.

We know that the greatest common factor of two or more than two numbers is the largest number that divides the given numbers completely.

Given we have to find HCF of 60 and 64.

2 can divide both the numbers but 4 also divides the numbers and n such no. more than 4 divide them completely and simultaneously.

∴ HCF of 60 and 64 is 4.

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