What is the exact length of arc AB? ​

What Is The Exact Length Of Arc AB?

Answers

Answer 1

Answer:

π m

Step-by-step explanation:

Arc length = 2πr[tex]\frac{0}{360}[/tex]

where r = radius and 0 = central angle

The given radius is 4m and the given central angle is 45°

Thus, arc length = 2π4[tex]\frac{45}{360}[/tex]

* simplify *

( note when simplifying we leave our answer in terms of π as the answer choices do. )

2 * 4 = 8

[tex]8\frac{45}{360} =1[/tex]

arc length = 1π

Hence, arc length = 1π or just π


Related Questions

5(x + 20) = 7x + 30
I=

Answers

Answer:

x=35

Step-by-step explanation:

5(x + 20) = 7x + 30

5x+100= 7x+30

70= 2x

x=35

Jack models the cost, in dollars, of going to the gym for x months using the function f(x) = 27.50x + 65. What is the slope and what does it represent in this context?

Answers

Answer: The slope is 27.50 and it represents the cost (monthly membership) to the gym in x months, 65 is the initial fee

Step-by-step explanation:

Probably wrong 27.50

pleasseeeee helpppppppppppppp
hurryyy please

Answers

So to answer all of them ( I don’t know if you want that it Imma do it anyways). For the first question: Name a radius - QR. For the second question: Name a diameter - NR. For question three: Name a chord - OP. For the last question: If the length of QS is 8 units, what is the length of NR: Since QS is a radius than the length of NR would be 16. Hope this helps!

que numero es mayor 0.086 o 86%​

Answers

Answer:86% es mas

Step-by-step explanation:

86% es lo mismo que 0.86 y eso es mayor que 0.086

In parallelogram MNPQ if QR=5 find RN.
N
R
M
Q

Answers

Answer:

R

Step-by-step explanation:

i think the answer is R. thanks

A child's toy is in the shape of a cone on top of a
hemisphere. The radius of the cone and hemisphere is 4
cm and the vertical height of the cone is 10 cm.


1. Find the total volume of the toy.

2. Find the slant height of the cone

Answers

Answer:

1. 167.55

2. 10.77

Step-by-step explanation:

For #1 use the formula for volume of cone: [tex]V=\pi r^2\frac{h}{3}[/tex], and for #2 use the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]


I wanted to see if I got this answer right, pretty sure it’s wrong. Any help appreciated!

Answers

good job son, you got the question correcy.

Find x
.
31°
aro
980
x =

6
?.

Answers

Answer:

39

Step-by-step explanation:

By linear pair angles and exterior angle theorems:

[tex]x \degree + (180 - 98) \degree = 180 \degree - (31 + 28) \degree \\ \\ x \degree + 82 \degree = 180 \degree -59\degree \\ \\ x \degree + 82 \degree = 121\degree \\ \\ x \degree = 121\degree - 82 \degree\\ \\ x \degree = 39 \degree\\ \\ x = 39[/tex]

What is the strongest classification of the figure formed by the following points?
(–10,-4), (-7,-8), (-5,-4), (-2,-8)
OA. Paralellogram
OB. Quadrilateral
OC. Rectangle
OD. Rhombus

Answers

Answer:

A. Parallelogram

Step-by-step explanation:

The given points are;

(-10, -4), (-7, -8), (-5, -4), (-2, -8)

Let 'A' represent the point (-10, -4), let 'B' represent the point (-7, -8), let 'C' represent the point (-5, -4), and let 'D' represent the point (-2, -8), we have;

The (horizontal) distance between points A and C = -5 - (-10) = 5

The (horizontal) distance between points B and D = -2 - (-7) = 5

Therefore;

The length of [tex]\overline {AC}[/tex] = The length of [tex]\overline {BD}[/tex]

The length of [tex]\overline {AB}[/tex] = √((-10 - (-7))² + (-4 - (-8))²)) = 5

The length of [tex]\overline {CD}[/tex] = √((-5 - (-2))² + (-4 - (-8))²)) = 5

∴ The length of [tex]\overline {AB}[/tex] = The length of [tex]\overline {CD}[/tex]

[tex]\overline {AC}[/tex] is parallel to the horizontal axis

[tex]\overline {BD}[/tex] is parallel to the horizontal axis

∴ [tex]\overline {AC}[/tex] ║ [tex]\overline {BD}[/tex]

Given that [tex]\overline {AB}[/tex] = [tex]\overline {CD}[/tex], then [tex]\overline {AB}[/tex] ║ [tex]\overline {CD}[/tex]

Therefore, the quadrilateral ABCD is a parallelogram

(The angle ∠ABD = 180 - arctan (4/3) ≈ 126.9 > 90, therefore, the parallelogram ABCD is not a rectangle.)

WILL GIVE BRAINLIEST!!

A bookstore costs $90 a day to keep open, and it spends $12 for each book that it sells. If each book sells for $18, what is the break-even point for this bookstore?
A. n = 12
B. n = 18
C. n = 15
D. n = 16

Answers

Answer:

Total Cost in a day is . Profit function is . And the revenue function is . In a day, bookstore must sell at least 15 books, because of 6n-90=0, in order to make profit.

Step-by-step explanation:

-90

The break-even point for this bookstore is 15, i.e. correct answer is,

C. n = 15.

Here, we have,

given that,

A bookstore costs $90 a day to keep open,

and it spends $12 for each book that it sells.

If each book sells for $18,

now, we know that,

Breakeven quantity = fixed cost / price – variable cost per unit

now, we have,

$90 / (18 - 12)

=$90 / $6

= 15

so, n = 15

Hence, The break-even point for this bookstore is 15, i.e. correct answer is, C. n = 15.

To learn more about break even, please check: brainly.com/question/17960037

#SPJ7

I don’t understand help

Answers

Answer:

6: (0,9)

7: ( -10, -3)

8: (-12,9)

9: (2,0)

Step-by-step explanation:

A sample of a radioactive isotope had an initial mass of 690 mg in the
year 1997 and decays exponentially over time. A measurement in the
year 2001 found that the sample's mass had decayed to 390 mg. What
would be the expected mass of the sample in the year 2011, to the
nearest whole number?

Answers

Answer:

its 94 on deltamath just did it

Step-by-step explanation:

Let t=0 represent the year 1997

Starting Value: 690

Write function:

y=690(b)^t

Now find the b-value:

y=390 when t=4 (2001−1997)

390=690(b)^4

390/690=690(b)^4/690

0.56521739=b^4

(0.56521739)^1/4=(b^4)^1/4

0.86706944=b

Write Complete Function:

y=690(0.86706944)^t

Find value in 2011 (use t=14):

y=690(0.86706944)^14

y=93.67062063

y≈94

Worth it! Please answer this question! Question 5 please

Answers

Answer:

im getting -1/2? im sorry but i tried with every number in the cart and it all worked.

Step-by-step explanation:

-1 - 0 / -2 - - 4 = -1/2

Which represents the equation of the line that
passes through the points (5,-2) and (15, 6)?

Answers

Answer:

[tex]y =\frac{4}{5}x-6[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y =mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (5,-2) and (15, 6)

[tex]=\frac{6-(-2)}{15-5}\\=\frac{6+2}{15-5}\\=\frac{8}{10}\\=\frac{4}{5}[/tex]

Therefore, the slope of the line is [tex]\frac{4}{5}[/tex]. Plug this into [tex]y =mx+b[/tex]:

[tex]y =\frac{4}{5}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y =\frac{4}{5}x+b[/tex]

Plug in one of the given points and solve for b

[tex]6=\frac{4}{5}(15)+b\\6=12+b[/tex]

Subtract 12 from both sides of the equation to isolate b

[tex]6-12=12+b-12\\-6=b[/tex]

Therefore, the y-intercept of the line is -6. Plug this back into [tex]y =\frac{4}{5}x+b[/tex]:

[tex]y =\frac{4}{5}x-6[/tex]

I hope this helps!

Please help and give a explanation I will give brainliest and 25 points

Answers

Answer:

Addition: -1 + -3 = -4

Subtraction: (-4) - 5 = -10

Step-by-step explanation:

Since adding a positive makes a negative number stay negative, it equals -4.

Then by subtracting a negative with a positive (5), the number stays negative once again, which then equals -10.

Carl buys 4 one-pint cartons of milk .He buys less juice than milk. Which of the following could be the amount of juice Carl buys?

Answers

Answer:

0 pints ≤ J ≤ 4 pints

Where J is the amount of juice that Carl bought.

Step-by-step explanation:

Here we need to learn how to use the inequality symbols.

Let's define each one of them:

A < B   (A is strictly smaller than B)

A > B  (A is strictly greater than B)

A ≤ B (A is smaller than or equal to B)

A ≥ B  (A is greater than or equal to B)

A ≠ B  (A is different than B)

Ok, in this case, we know that Carl buys 4 one-pint cartons of milk.

Then the total amount of mil that he buys is 4 times one pint, this is:

4*1 pint = 4 pints

He has 4 pints of milk.

And we know that he buys less juice than milk, then if J represents the amount of juice that he bought, we need to have:

J < 4 pints

This means that the amount of juice that he bought is smaller than the quantity of milk that he bought (4 pints)

If we want to be more correct, we should write:

0 pints ≤ J ≤ 4 pints

Here we say that J needs to be a positive number (we can't buy a negative quantity of juice)

help answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

75.96

Step-by-step explanation:

the answer is 75.96

plz answer number 12 :)

Answers

It’s a (the one on the top left), because the input and output values are correct in the table!

Give an angle between 0 and 360° that is coterminal with -1005

Answers

Answer:

75*

Step-by-step explanation

-1005 + 360 + 360 + 360 = 75

Hot dogs are sold in packages of 6. Hot dog buns are sold in packages of 8
What is the fewest number of packages of hot dogs and the fewest number of packages of buns that can be purchased so there will be the same number of hot
dogs and buns?
Enter your answers in the boxes below.
packages of hot dogs
packages of buns
Oh

Answers

Answer:

4 hot dog packages, and 3 packages of buns.

Step-by-step explanation:

This is a great way to make the customer buy more lol.

Hope this helps :)

A rectangle has an area of 96 in2. The rectangle's base is 4 in. What is the height of the rectangle?

A. 384in
b. 24in
c. 92in
d. 100in

Answers

B. 96/4 equals the height

Find the missing length

Answers

Answer:

Last one

Step-by-step explanation:

Select all expressions that are equivalent to 6x+1-(3x - 1). Justify your choices.
a. 6x + 1 - 3x - 1
d. 6x - 3x +1 - 1
b. 6x + 3x + 1 + 1
e, 6x + 1 + 3x - - 1
C3x + 2

Answers

Answer:

C) 3x + 2

Step-by-step explanation:

6x+1-(3x-1)

You can assume a 1 outside the parentheses.

6x+1-1(3x-1)

Then use the distributive property to get rid of the parentheses.

6x+1-3x+1

Then combine similar terms.

3x+2

i’ll give brainliest!! please help and answer correctly! plsss answer quick

Answers

Answer:

C is the answer I think

Step-by-step explanation:

Hope this helps.

lease answer number 7 WILL GIVE BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

hope this helps with the work

Answer:

B

Step-by-step explanation:

That is 100% right so good luck

Emma wanted to make an origami fish for each of her 22 classmates. It takes 30 minutes to make one fish. how long will it take Emma to make all the fish?​

Answers

Hdjdhgg de hdjdhfhgfgggb

Nadine has a cup of nickels and a cup of dimes.
The total number of coins is 300 and their value
is $23.25. How many coins are in each cup?

Answers

Answer: 135 nickels

Step-by-step explanation:

135 Nickels is $6.75 and 165 dimes is $16.50

That's 300 coins. $6.75 + $16.50 = $23.25

The times in seconds it took 6 finalists to run a 100-meter dash are 12.5, 12.4, 12.4, 12.3, 12.6, and 12.4.
Mr. Brown picks out the time that appears the most to find the
. He arranges the times in increasing order and picks the middle value to find the
.

Answers

Answer:

I think the correct answer is Mode for the first blank and Median for the second blank.

I hope this helps!

What is the value of x?

Enter your answer in the box.
x =

Answers

Answer:

X²=(24)²+(7)²

x²=576+49

x²=625

×=25

Answer:

25

Step-by-step explanation:

Use the Pythagorean Theorem: a²+b²=c²

a=24

b=7

c=x

Plug in the numbers

(24)²+(7)²=x²

Square 24 and 7

576+49=x²

Add 576 and 49

625=x²

Take the square root on both sides

x=√625

Simplify

x=25

I need to find the volume

Answers

[tex] \huge \: Answer࿐[/tex]

The given figure is a cylinder.

radius = 4 yd

height = 2 yd

[tex] \large \boxed{\mathrm{volume = \pi {r}^{2}h }}[/tex]

[tex]3.14 \times 4 \times 4 \times 2[/tex]

[tex]100.48 \: \: yd {}^{3} [/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:✰ [tex]v=1005~yd^3[/tex] ✓✄--------------------[tex]Diameter(D)=8~yd[/tex][tex]Radius(R)=8/2~yd[/tex][tex]R=4 *d[/tex][tex]Height(h)=2~yd[/tex][tex]volume(v)=\pi r^2h[/tex][tex]v=3.14(4)^2*2[/tex][tex]v=100.48[/tex][tex]v=100.5~yd^3[/tex]☁❅☁❅☁❅☁❅☁❅☁hope it helps...have a great day!!
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