Find the length of arc AB with an angle measure of 15 degrees and radius of 10 cm. Round to the nearest hundredth place if you get a continuous decimal when dividing with 360 degrees.

Answers

Answer 1

Answer:

AB ≈ 2.62 cm

Step-by-step explanation:

The arc AB is calculated as

AB = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{15}{360}[/tex]

     = 2π × 10 × [tex]\frac{1}{24}[/tex]

     = [tex]\frac{20\pi }{24}[/tex]

     ≈ 2.62 cm ( to the nearest hundredth )


Related Questions

Need help

Four students answered the problem at the top of the table. The table shows their answers. Which student gave the correct answer?

7a² - 4 if a = 4
Student Answer
Lucia 110
Terry 108
Heath 24
Robin 22

Robin B) Heath C) Terry D) Lucia



and question 2


At Claremont Junior High, 72 out of 120 students usually ride the bus. If there are 500 students, how many should the bus drivers be prepared to bring to school?

Answers

Answer:

Terry 108

300

Step-by-step explanation:

7a² - 4 if a = 4

7(4)² - 4

7(16) - 4

112 - 4

108

Terry 108

----------------------------

72/120 * 500

300

2.35 x 23.6 =
show work

Answers

Answer:

hope this helps <33 (55.460)

Step-by-step explanation:

 2.35

x 23.6

---------------------

1      23

1 . 4 1 0

1    1

7 . 0 5 0

1

47 . 0 0 0

---------------------

1

5 5 . 4 6 0

if you put $300 into a savings account and the bank account has a 4% annual compound interest-rate, find how much money will be in your savings account after 10 years if you don’t take any money out or put any more in.

Answers

75,000 I’m 100% sure
What you do it 300 divided by 4% times 10

What is the opposite operation of squaring a number?
A Taking the cube root
B Taking the square root
C Dividing by the number
D Multiplying by the number ​

Answers

taking the square root

Now say you invest the $6,500 and the highest interest rate you can find is 2.5% compounded annually, but you would have to leave the investment in the account for a minimum of 5 years. If you decide to wait 5 years to buy the car, how much more money will you have to save to buy a car at the $8,000 price?

Answers

Answer:

$648.5

Step-by-step explanation:

Given data

Principal= $6,500

Rate= 2.5%

Time= 5 years

The compound interest formula is given as

A= P(1+r)^t

substitute

A= 6500(1+0.025)^5

A= 6500(1.025)^5

A=6500*1.131

A=$7351.5

After 5 years the money in the account will be $7351.5

Now to buy a car of  $8,000

The added amount will be  

=$8,000-$7351.5

=$648.5

What are the closing costs for a recent home purchase that includes a mortgage of $80,528 at 1.5 points and attorney's fees of $375 and title fees of $215?

Answers

Answer:

1797.92

Step-by-step explanation:

The closing cost for the home percent mortgage can be calculated as follows

= 0.01×1.5×80,528

= 1207.92

1207.92+375+215

= 1797.92

Hence the closing cost for the home purchase is 1797.92

Answer:

$1,797.92

Step-by-step explanation:

helppppp meeeee plz i'll give brainliest!!!

Answers

Answer:

1

Step-by-step explanation:

2m + 4 = 6

2m = 6 - 4

2m = 2

m = 1

the answer is one.. ....


which quadratic equation has 2 and -3 as its roots ?

Answers

Answer:

alfa = 2

beeta = -3

product of zeros = 2x-3= -6

sum of zeros = 2+[-3] = -1

POLYNIMIAL = k[x²-[sum]+product]

                       =k[ x²-[-1] +[-6]]

                        = k[ x²+1 -6]

                        = x²-5

hence , the quadratic equation is x²-5

HERES UR ANS .

HOPE IT DOES HELP U

IF SO PLZ MARK THE BRAINLIESTT !!!!\

a tennis ball is hit with a vertical velocity of 40ft/s from an initial height of 7ft. In how many seconds will the ball hit the ground? Round your answer to the nearest tenth, if necessary. PLEASE SHOW ANY WORK IF POSSIBLE!!!!! THANK YOU SO MUCH TO WHOEVER ANSWERS THIS!!!!

Answers

Answer:

friend me on here and imma send you the link Step-by-step explanation:

In a scale drawing of a house, 1/2 inch = 1 1/2 feet. If the length of a kitchen is 5 1/2 inches on a scale drawing, what is the actual length of the kitchen?

Answers

Answer:

16 1/2 feet

Step-by-step explanation:

The above question is calculated as:

1/2 inch = 1 1/2 feet.

5 1/2 inches = x

Cross Multiply

1/2 inch × x = 5 1/2 inch × 1 1/2 feet

x = 5 1/2 inch × 1 1/2 feet/ 1/2 inch

x = 11/2 × 3/2 ÷ 1/2

x = 11/2 × 3/2 × 2/1

x = 33/2 feet

x = 16 1/2 feet

Therefore, the actual length of the kitchen is 16 1/2 feet

The city of Redmond is planning to build a new park by enlarging the current park by a scale factor of 3. The current park has an area of 30,125 yd².

The area of the new park is ___ yd².

Answers

Answer:  I think it’s Area of the new park is 602000 yd

Answer:

90,375 yd^2

Step-by-step explanation:

A scale factor of three means that the park will be 3 times larger than the original, they may use fancy words, but it’s that simple.

30,125 * 3 = 90,375 yd^2

circle the expression equivalent to (5x^3)^2
25x^5
25x^6
10x^5
10x^6

Answers

Answer:

It's 25x^6.

Thumbs-up (^_-)

10.575 as a fraction?

Answers

Answer:

[tex]10 \frac{23}{40}[/tex]

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over 1000. Reduce the fraction.

Answer:

423/40 or if it can't be improper than 10 23/40

I need help. I don’t understand this problem.
A. Length in the side adjacent to B. Length in the side opposite to C. cos( D. JL/KL

Answers

Answer: one, sorry wrong person

Step-by-step explanation:

Look at the sequence of numbers.
6 12 18 24

a Write down the next number in the sequence.
b Write down the term-to-term rule.
C Write down the position-to-term rule.

Answers

Answer:

Here we have the sequence:

6, 12, 18, 24

We can assume that this is an arithmetic sequence, this is, the difference between any two consecutive terms is always the same, D.

To check this, let's find the difference between the consecutive terms:

12 - 6 = 6

18 - 12 = 6

24 - 18 = 6

So we can conclude that this is an arithmetic sequence, and the difference between any two consecutive terms is always 6.

a) Then the next number in the sequence will be equal to the previous number plus 6, this is:

24 + 6 = 30

The next number in the sequence is 30

b) The term-to-term rule is the rule that defines the n-th term based on the previous terms.

Here we already know that each term in this sequence is the previous one plus six, so we can write this as:

Aₙ = Aₙ₋₁ + 6

c) The position-to-term rule is the general one.

Here we need to know that, the first term, A₁ = 6

Then, the n-th term will be A₁ plus (n - 1) times 6.

Then the rule is:

Aₙ = A₁ + (n - 1)*6

Replacing A₁ by its value, the rule becomes:

Aₙ = 6 + (n - 1)*6

what is x to the 2nd power?

Answers

Answer:

x2 or x square

Step-by-step explanation:

hope it helps

2x or x2 to the 2 power

A hiker leaves her camp in the morning. She walks 9 miles west then 10 miles north. Explain how you would find how far she has traveled from her camp.

Answers

Answer:

About 13.45 miles ( rounded )

Step-by-step explanation:

You would use the pythagorean theorem to solve this. ([tex]a^{2}[/tex]+ [tex]b^{2}[/tex] = [tex]c^{2}[/tex])

[tex]a^{2}[/tex] would be one length of that triangle, we'll use 9.

[tex]b^{2}[/tex] would be the other length of that triangle, we'll use 10.

So, now you have to square both of them.

[tex]9^{2}[/tex] = 81 ( 9 x 9 )  [tex]10^{2}[/tex] = 100 ( 10 x 10 )

Which you will get 81 and 100. Then you add those two numbers together.

100 + 81 = 181

Now that you have 181, you have to square root 181.

[tex]\sqrt{181}[/tex]

With that you should get 13.45 miles. (rounded)

An architect makes a scale drawing of a building. The scale used is 1 cm represents 20 m. Calculate the actual width of the building if the width on scale drawing is 24.5 cm

Answers

Answer: 490 m

Step-by-step explanation:

Find the value of x,$3$3)/7:):7):7:

Answers

(3x - 5) + 2(5x - 10) + 2(6x + 25) = 540

3x - 5 + 10x - 20 + 12x + 50 = 540

25x + 25 = 540

25x = 540 - 25

25x = 515

x = 515 / 25

x = 20.6

Answer:

[tex]\huge\boxed{\sf x = 20.6}[/tex]

Step-by-step explanation:

We know that the sum of interior angles of a pentagon is:

=> (n-2) *180

Were n is the no. of sides

=> (5-2)*180

=> 3 * 180

=> 540

Hence, The sum of interior angles of a pentagon is 540.

So,

=> 3x - 5 + 6x + 25 + 5x - 10 + 5x - 10 + 6x + 25 = 540

Combining like terms

=> 3x + 6x + 6x + 5x + 5x - 5 + 25 + 25 - 10 - 10 = 540

=> 25x + 25 = 540

=> 25x = 540 - 25

=> 25x = 515

Divide both sides by 25

=> x = 515 / 25

=> x = 20.6

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

plzzzzz I will mark u as the brillianest plzzzzzzzzzzzzzzzzzzzz​

Answers

Answer:

0.05%

Step-by-step explanation:

IMPORTANT! SOMEONE PLEASE LOOK AT MY UNANSWERED QUESTIONS FROM THE PAST HOUR!!! I REALLY NEED HELP!!!

Answers

Answer:

Step-by-step explanation:

kk

What is the mean? (5, 8, 1, 7, 4, 3, 2, 2)

Answers

Answer:

mean=sum of data/no of data

=5+8+1+7+4+3+2+2/8

=32/8

4

Step-by-step explanation:

Therefore mean=4

what is 5 to the 3rd power

Answers

Answer: 125

Step-by-step explanation: 5•5•5

It’s 125. 5•5•5=125.

ASAP WILL GIVE BRAILIEST!!!

Answers

Answer:

Step-by-step explanation:

6^10 can also be written as

b.6^8.6^2

6^8+2

610

d.(6^10)^1

6^10*1

6^10

Answer:

B and d are correct because does are the only two that equal 6^10 ( or 60466176 )

Step-by-step explanation:

-3 - 2e - 7 = 10
e = ?

Answers

The answer for this problem is (-10)

The slope between the points (4,2) and (1. p) is 4. Find p and write the
equation of the line that has these points in point slope form.
Hint
P-2
D-10
equation of the line: \y - y1) = m(- X1)
Y1
m-
X1

Answers

Answer:

[tex]slope = \frac{y_2 - y_1}{x_2-x_1}\\\\4 = \frac{p-2}{1-4} \\\\4 \times -3 = p -2\\\\-12 + 2 = p \\\\p = -10 \\\\Equation \ of \ line : \\\\(y -y_1) = m(x - x_1)\\\\y - 2= 4(x-4)\\\\y - 2 = 4x -16\\\\y = 4x -14[/tex]

Hi there! The slope formula is:

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

We know that the slope is 4 but we are missing the value of p. (Define m = slope)

What we have now are:

two ordered pairs (4,2) and (1,p)value of slope = 4

We are going to substitute these values and solve the equation for p-term.

[tex] \large{4 = \frac{2 - p}{4 - 1} } \\ \large{4 = \frac{2 - p}{3} } \\ \large{4(3) = \frac{2 - p}{3} (3)} \\ \large{12 = 2 - p} \\ \large{p = 2 - 12 \longrightarrow \boxed{p = - 10}}[/tex]

Hence, the value of p is -10.

Next, we have to write the equation of a line in point-slope form. The point-slope form is:

[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]

Define that (x1, y1) = ordered pairs

Since we have two given points, we can either use the first point or second point. Both work.

First Point

For our first ordered pairs (4,2), substitute x1 = 4 and y1 = 2 in the equation.

[tex] \large{y - 2 = 4(x - 4)}[/tex]

Hence, the equation of a line in point-slope form as in (4,2) is y-2=4(x-4)

Second Point

For our second ordered pairs (1,p), we know that p = -10 from the equation that we solved. Therefore (1,p) = (1,-10). Substitute x1 = 1 and y1 = -10 in the equation.

[tex] \large{y - ( - 10) = 4(x - 1)} \\ \large{y + 10 = 4(x - 1)}[/tex]

Hence, the equation of a line in point-slope form as in (1,-10) is y+10 = 4(x-1)

Answer

The value of p is -10 (p = -10)y - 2 = 4(x-4) —> use (4,2) to form an equation. y + 10 = 4(x-1) —> use (1,-10) to form an an equation.

Both equations work for point-slope form.

Questions can be asked through comment.

Hope this helps, and Happy Learning! :)

Which equation represents a car that gets more miles per gallon of gas than Mitch's car?



Helppppp!!! Plsss

Answers

The answer is y=24x I hope this helps

Order these numbers from least to greatest.

6.58, 6.8, 6.4082, 6.509

help pls

Answers

Answer:

6.4082, 6.509, 6.58, 6.8

Step-by-step explanation

:)

Evaluate the expression (18+7)+5³-9

Answers

Answer:

141

Step-by-step explanation:

Answer:

Step-by-step explanation:

18+7+5^3-9

25+125-9

150-9

141

PLSS HELP ASAP I NEED RN

Answers

It would be 4. Because 3.9 is near 4 so that would be you’re answer 4
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