Mathematics High School

using arc length formula find s when r=24 and θ=π/2

48π
24π
12π

Answers

Answer 1

Answer:

12π

Step-by-step explanation:

The formula for arc length is given as:

[tex] s = \frac{\theta}{360\degree} \times 2\pi r[/tex]

Plug r = 24 and θ=π/2 in the above formula, we fi d:

[tex] s = \frac{\frac{\pi}{2}}{360\degree} \times 2\pi \times 24\\\\

s = \frac{\frac{\pi}{2}}{2 \pi} \times 48\pi\\\\

s = \frac{\pi}{2\times 2 \pi} \times 48\pi \\\\

s = \frac{\pi}{4\pi} \times 48\pi \\\\

\huge \purple {\boxed{s = 12\pi}} \\

[/tex]

Answer 2

Step-by-step explanation:

ghjkkknn. bjkkmn. bhcddfkkkk answer in image

Using Arc Length Formula Find S When R=24 And =/2482412

Related Questions

4.
The quotient of 24 and d

Answers

Answer:

[tex]\frac{24}{d}[/tex]

Step-by-step explanation:

the quotient is the result of dividing 24 by d , that is

quotient = [tex]\frac{24}{d}[/tex]

Ajay just started a running plan where he runs 20 miles the first week and then increases the number of miles he runs by 5% each week. If he keeps up this plan for 14 weeks, how many total miles would Ajay have run, to the nearest whole number?

Answers

If Ajay keeps up his plans for 14 weeks he would have run total of 391 miles.

The sum of n terms of a Geometric Progression ( a,ar,ar²,ar³,...,arⁿ⁻¹ ) is given by

Sₙ=a(rⁿ-1)/(r-1)

where, a=first term

and r = common ratio

In the given question ,

Ajay runs 20 miles in first week ,     ...(i)

In second week the distance is increased by 5% of the previous week .

So in second week he runs = 20+5% of 20

[tex]=20+\frac{5}{100} *20[/tex]

=20(1+5/100)

=20(105/100)

=[tex]20\times(\frac{21}{20})[/tex]          ...(ii)

In third week Ajay runs = 20(21/20) + 5% of  20(21/20)

=[tex]20(\frac{21}{20} )+\frac{5}{100} *20(\frac{21}{20} )[/tex]

=20(21/20)[1+5/100]                   ..taking 20(21/20) common

[tex]=20(\frac{21}{20} )[\frac{105}{100} ][/tex]

=20(21/20)(21/20)

=20(21/20)²              ...(iii)

Similarly in 14th week Ajay Runs = 20(21/20)¹³ .    ...(iv)

Total miles run by Ajay = miles run in first week + miles run in 2nd week +    ...+ miles run in 14th week.

Substituting the values of equation (i), (ii), (iii) and (iv) we get

Total miles run by Ajay = [tex]20+20(\frac{21}{20} )+20(\frac{21}{20} )^{2} +...+20(\frac{21}{20} )^{13}[/tex]

The above series represent a Geometric Progression with common ratio as (21/20) and first term as 20.

Substituting in the formula for Sum of Geometric Mean we get

[tex]S_{14} =20(\frac{(\frac{21}{20} )^{14} -1}{\frac{21}{20} -1} )[/tex]

S₁₄=20*((1.05)¹⁴-1)/(1.05-1)

=20*(1.9799-1)/0.05

=20*0.9799/0.05

=20*19.598

=391.96

≅391

Therefore , If Ajay keeps up his plans for 14 weeks he would have run total of 391 miles.

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PLEASE ANSWER ASAP

What is the solution to this equation? 9x + 5 = 86 Enter your answer in the box. x =

Answers

Answer:x=9

Step-by-step explanation:

Answer: x = 9

Step-by-step explanation:

9x + 5 = 86

9x + 5 - 5 = 86 - 5 (you subtract 5 from both sides to isolate the 9x)

9x = 81

9x/9 = 81/9 (to get the value of x, you divide both sides by 9)

x = 9

Is the equation proportional?
y = 2x + 6

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

when you carry the 6 to y=6y then you divide the number by two

10°
55°
x х
Solve for y in the figure above.

Answers

y=145
Explanation:
A triangle’s angles add up to a total of 180 so you would subtract 55 from 180 and then subtract 90 because of the right angle, then you would end with x=35. Since x and y are supplementary they add to 180...so then you subtract 35 from 180 and then you get y=145.

80% OFF
original price!
Sofia buys a lawn ornament during the sale. If the original price was $40, how much does Sofia pay?

Answers

Answer:

$8

Step-by-step explanation:

40 x .8 = 32

40 - 32 = 8


The slope of the line is

Answers

Answer:

The slope is 0

Step-by-step explanation:

If the line is horizontal then it's 0

Pete purchased 5 drinks and 6 snacks and spent a total of $22.50. Jaime purchased 1 drink and 9 snacks and spent a total of 24.75 each drink costs the same amount. Each snack costs the same amount write a system of linear equations that can be used to find thr coet of one drink and one snack.

Answers

Answer:

[tex]5x+6y=22.50\\x+9y=24.75[/tex]

Step-by-step explanation:

Cost of 5 drinks and 6 snacks = $22.50

Cost of 1 drink and 9 snacks = $24.75

Each drink costs the same and each snack costs the same.

Let cost of each drink = $[tex]x[/tex]

Let cost of each snack = $[tex]y[/tex]

As per the question, writing the system of equations:

[tex]5x+6y=22.50 ...... (1)\\x+9y=24.75 ...... (2)[/tex]

Let us use elimination method, to find the cost of each drink and cost of each snack.

Multiplying equation (2) by 5 and then subtracting equation (1) from it:

[tex]45y - 6y = 123.75 - 22.5 \\\Rightarrow 39y = 101.25\\\Rightarrow y \approx \$2.60[/tex]

Using equation (1):

[tex]5x+2.6 \times 6 = 22.5\\\Rightarrow 5x = 22.5 - 15.6\\\Rightarrow 5x = 6.9\\\Rightarrow x = \$1.38[/tex]

Cost of each drink = $1.38

Cost of each snack = $2.60


Help needed! Plz A graph of a linear inequality in two variables is shown below:

Answers

Answer:

C

Step-by-step explanation:

Your answer is D) y>2x-3

Let me know if you want an explanation!

The average growth for height
of a boy from age 6 to 12 is 2.5
inches per year. John is 6 years
old and is 41 inches tall. Model
Johns height with an equation.

Answers

The modelled John's height with an equation is x = 41 - 6 × 2.5.

Given that, the average growth for the height of a boy from age 6 to 12 is 2.5 inches per year. John is 6 years old and is 41 inches tall.

We need to model John's height with an equation.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let John's initial height be x.

Now, an equation = x = 41 - 6 × 2.5

Therefore, the modelled John's height with an equation is x = 41 - 6 × 2.5.

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what is x2−4x−45=0 and what did you do

Answers

Add to 4x and multiple to -45

PLEASE HELP WILL GIVE BRAINLIST

Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm. Which of these is closest to the percent error for Diego’s measurement. Explain your choice. [3 point]

A. 4.3%

B. 4.5%

C. 95.7%

D. 104.5%


Explanation:

Answers

Answer:

I think it is c but I'm not sure

What is the solution to the equation?

Answers

Answer:

n = 1/2

Step-by-step explanation:

4/5(1/2) - 1/5 = 2/5(1/2)

4/10 - 2/10 = 2/10

PLEASE help. I will mark as brainliest

Answers

Answer:

C 35

Step-by-step explanation:

Brainliest

The answer is 35! If you follow the pattern by moving over one and up one, then you’ll get to 35 after 7 hours.

5(x -1) - 3x = -19
solve for x​

Answers

Answer:

-7

Step-by-step explanation:

5x-5-3x=-19

2x-5=-19

2x=-14

x=-7

what the answer giving brainliest !!!!!!

Answers

Answer:

1/2 * 5/4

Step-by-step explanation:

when dividing fractions, you change the symbol to a multiplication sign and use the reciprocal of the second fraction

Answer:

C. 1/2 * 5/4

Step-by-step explanation:

Reciprocals

can anyone please help me ASAP?I have included a picture.

Answers

Answer:

[tex] Formula\: v =\frac{s}{t} \\\\

v = 60\: mph[/tex]

Step-by-step explanation:

Formula:

[tex]v = \frac{s}{t} \: mph \\ \\ when \: t = 3 \: and \: s = 180 \\ \\ v = \frac{180}{3} \\ \\ v = 60 \: mph[/tex]

Answer:

see explanation

Step-by-step explanation:

The formula for v is

v = [tex]\frac{s}{t}[/tex]

When t = 3 and s = 180 , then

v = [tex]\frac{180}{3}[/tex] = 60 mph

The table below lists some of the characteristics of the houses on Katrina’s street.


Characteristics of Homes For Sale on Katrina’s Street
Bedrooms
Acres of land
Sale price
Appraised value
Property tax
2
0.17
$230,000
$200,000
$1,220
2
0.20
$210,000
$220,000
$1,232
3
0.20
$275,000
$250,000
$1,400
4
0.24
$275,000
$275,000
$1,540
4
0.52
$360,000
$310,000
$1,736
4
0.75
$350,000
$320,000
$1,792
5
1.23
$375,000
$350,000
$1,960

Which relationship describes a function?

A.(bedrooms, sale price)

B.(acres of land, appraised value)

C.(sale price, bedrooms)

D.(appraised value, property tax)

IF CORRECT I WILL GIVE BRAINIEST

Answers

Answer:

C; Acres of land, Sale price

Step-by-step explanation: I think this because no other relationship would be accurate with numbers that specific.

Answer:

c

Step-by-step explanation:

HELP!

h(t)=t^2+2t
g(t)=-t-5
Find ( h+g )(-8)

Answers

Answer:

(h + g)(8) = 67

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Combining Like TermsFunction Notation

Step-by-step explanation:

Step 1: Define

h(t) = t² + 2t

g(t) = -t - 5

Step 2: Find (h + g)(x)

Substitute:                    (h + g)(x) = t² + 2t - t - 5Combine like terms:    (h + g)(x) = t² + t - 5

Step 3: Find (h + g)(8)

Substitute in x:                    (h + g)(8) = 8² + 8 - 5Exponents:                          (h + g)(8) = 64 + 8 - 5Add:                                     (h + g)(8) = 72 - 5Subtract:                              (h + g)(8) = 67

Write an algebraic expression
1. Four less than twice a number
2. The quotient of three times a number and 10

Answers

Answer:

Hi

Step-by-step explanation:

hi

hi

hi______________________

ola has 4
1
2
cups of rice. She uses
3
4
of the rice to make sushi rolls for dinner. She uses the rest of the rice to make rice pudding for dessert. How much rice does Lola use for the rice pudding?

Answers

The amount of cups that Lola uses to make the rice pudding for dessert is 3 3/4 cups.

How many cups were used to make rice pudding?

A fraction is a number that is made up of numerator and denominator. An example of a fraction is 3/4.

Number of cups were used to make rice pudding = number of cups Ola has - number of cups used to make sushi rolls

4 1/2 - 3/4

4 4 2-3/4  = 3 3/4 cups

What is fraction ?

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.

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find the length of the radius of the circles whose circumference is 550 cm​

Answers

Circumference = Perimeter

Perimeter of Circle

= 550cm

Also,

Perimeter of Circle

= 2πr

Now,

2πr = 550

πr = 550/2

πr = 275

r = 275/π

r = 275/ 22/7

r = 275 × 7/22

r = 87.5cm

can you help me please? ( I didn't mean to pick a answer)​

Answers

Answer:

#3:8n-4

Step-by-step explanation:

combine like terms

3n+n=4n

-7+5=-2

4n-2

multiply that by 2 to get the perimeter, which is 8n-4

solve for x please and thank you​

Answers

Answer:

2x -5(x-3) = -4 +5x -29

2x-5x+15 = -4 +5x -29

-3x +15 = 5x -33

-8x= -48

x=6

Please help me if you can please

Answers

Answer:

J

Step-by-step explanation:

Add 38+50 to find the answer. To check you can do 50+38=88

180-88=92

180-92=88

I hope this helps.

7/12+1/3 show your work and how you got your answer and you do all that and don’t scam me I will give branlist

Answers

Answer: 11/12

Step-by-step explanation:

7/12 and 1/3 don’t have the same denominator, so you can’t just add them right away. You have to give them the same bottom number. 1/3 = 4/12, so you can do it like this:

7/12 + 4/12 = 11/12

11/12 is in simplest form, so that should be correct! Hope this helps! :)

Step-by-step explanation:

Hi so are we dating?????

a rectangular pool is 3 times as long as it is wide. a redwood walkway 2m wide with an area of 208 m borders the pol. what are the dimensions of the pool

Answers

The dimensions of pool 25.5m width, 76.5m length.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure.

let x=  Width

formula of area of rectangle = Length x Width

Given;

[tex]\begin{aligned}&(3 x+2)(x+2)=3 x^{2} +208 \\&3x^{2} +8 x+4=3x^{2} +208\end{aligned}[/tex]

We can substrate [tex]3x^{2}[/tex] and 4 from both sides.

8x = 204

x = 25.5m width, 76.5m length.

(25.5)(76.5) = 1950.75 [tex]m^{2}[/tex]

(27.5)(78.5) = 2158.75 [tex]m^{2}[/tex]

The difference is 208[tex]m^{2}[/tex]

The dimensions of pool 25.5m width, 76.5m length .

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which word describes a statement that has been accepted, tested, and supported by multiple sets of evidence? theory theory hypothesis hypothesis procedure procedure data

Answers

Data defines a claim that has been verified, examined, and backed up by numerous pieces of evidence.

What do you mean by data?

Data is information that has been transformed into a format that is useful for transfer or processing in computing. Information that has been converted into binary digital form for usage with contemporary computers and communication channels is referred to as data.

As the volume of data being collected and stored increases, so do the units used to measure it. For instance, the relatively new concept of a "brontobyte" refers to a unit of data storage that is 10 to the 27th power of bytes.

File formats can be used to store data, such as ISAM and VSAM in mainframe systems. Another file format for storing, converting, and processing data is comma-separated values.

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What is the domain of this quadratic function?

Answers

Answer: its c

Step-by-step explanation:

its c

Answer:

(-∞,+∞)

Step-by-step explanation:

The function is a continuous quadratic function

This is very easy!!!!​

Answers

n will be 5 right??
Because the triangle ABC’s sides are multiplied by 2.5

Answer:

N is 5 im pretty sure

Step-by-step explanation:

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