Which is an expression in square units that represents the area of the shaded segment of center ofOC

A: 1/4 r^2(3.14-4)
B: 1/4pier^2
C: 1/4pier^2-2r^2
D: 1/2r^2(1/2pie-1)

Which Is An Expression In Square Units That Represents The Area Of The Shaded Segment Of Center OfOCA:

Answers

Answer 1

9514 1404 393

Answer:

  D

Step-by-step explanation:

The formula for the area of a segment is ...

  A = 1/2r²(θ -sin(θ))

for radius r and central angle θ.

Here, we have θ = π/2, so this becomes ...

  A = 1/2r²(π/2 -1) . . . . . matches choice D


Related Questions

If P = (5,4), find the image
of P under the following rotation.
180° counterclockwise about the origin
([?], [])
Enter the number that belongs in
the green box.

Answers

Answer:

[tex](-5,-4)[/tex]

Step-by-step explanation:

Given

[tex]P = (5,4)[/tex]

Rotation: 180 degrees counterclockwise

Required

P'

Rotation: 180 degrees counterclockwise

The rule is:

[tex](x,y) \to (-x,-y)[/tex]

So: [tex]P = (5,4)[/tex] becomes

[tex](5,4) \to (-5,-4)[/tex]

write equation that represents the balance hanger above 6x+15=4x+20 unit 1

Answers

Answer:

x = 5/2

Step-by-step explanation:

6x+15=4x+20

Collect like terms

6x - 4x = 20 - 15

2x = 5

x = 5 / 2

Need help ASAP. Don’t understand how to do this

Answers

Answer:

0.088

Step-by-step explanation:

Given two cylinders

Volume of one = 64cm^3

Volume of the other = 729cm^2

Scale factor = Volume of the small/Volume of the large

Scale factor = 64:729

Scale factor = 0.087

I don’t understand how to solve this. Please explain the steps. Thanks.

Answers

Answer:

D

Step-by-step explanation:

When you are raising something to a fractional power, you are raising it to the power of the numerator and finding the root denoted by the denominator. The explanation above is kinda confusing, so here is an example:

x^(3/5)

This would be written as:

[tex]\sqrt[5]{x^3}[/tex]

Now for the actual problem. Since the numerator is 4, we start by raising x to the 4th power, x^4.

Because the denominator is 5, we find the 5th root:

[tex]\sqrt[5]{x^4}[/tex]

This matches none of the answers shown, so the answer is none of the above or D.

Answer:

D

Step-by-step explanation:

The answer would be 5 square root x^4

See Image Below:)

Find the length of missing side BC and AC.


Best answer gets brainliest!!!

Answers

Answer:

b = 7.56

C = 9.24

Step-by-step explanation:

Find the last angle of the triangle.

The sum of all the angles in a triangle is  

180 degrees.

A+

90+55=180

A=35

Then find c

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(B)=adj/hyp or Cos(55) = 5.3 / c

re write as

C = 5.3 / cos55

This gives you c = 9.24

Then use the Pythagorean theorem to find the unknown side.

[tex]a^{2} +b^{2} = c^{2} \\rewrite as\\ b^{2} = c^{2} - a^{2} \\b^{2} = 9.2^{2} - 5.3^{2} \\b^{2} = 57.29\\b = 7.56[/tex]

A company produces millions of 1-pound packages of bacon every week. Company specifications allow for no more than 3 percent of the 1-pound packages to be underweight. To investigate compliance with the specifications, the company's quality control manager selected a random sample of 1,000 packages produced in one week and found 40 packages, or 4 percent, to be underweight. Assuming all conditions for inference are met, do the data provide convincing statistical evidence at the significance level of α= 0.05 that more than 3 percent of all the packages produced ir one week are underweight?

a. Yes, because the sample estimate of 0.04 is greater than the company specification of 0.03.
b. Yes, because the p-value of 0.032 is less than the significance level of 0.05.
c. Yes, because the p-value of 0.064 is greater than the significance level of 0.05.
d. No, because the p-value of 0.032 is less than the significance level of 0.05.
e. No, because the p-value of 0.064 is greater than the significance level of 0.05.

Answers

Answer:

We accept H₀  we don´t have enough evidence to support that more than 3 % of the packages are undeweight

Step-by-step explanation:

Sample size    n  = 1000

x ( defective packages found)  =  40

p  =  40 /1000     p  =  0,04    p  =  4 %     then  q = 0,96

np = 0,04 * 1000      and    nq  / 0.96 * 1000 both greater than 5

Then we can use the approximation of binomial distribution to normal distribution.

α is significance level       α =  0,05

From z- table we find  z(c)  for  α =  0,05      z(c)  =  1,64

Test Hypothesis

Null Hypothesis                          H₀             p  =  0,03

Alternative Hypothesis              Hₐ             p  >  0,03

We can see from alternative Hypothesis that the test is a one tail test to the right of the bell shape curve of the normal distribution

To calculate  z(c)  =   ( 0,04 -  0,03 ) / √ ( p*q)/n

z(c) = 0,01 * 31,62 / √ 0,04*0,96

z(c) = 0,3162 / 0,1959

z(c) = 1,6140      z(c) ≈ 1,61

Comparing  z(s)   and  z(c)

z(c) >  z(s)     1.64  > 1.61

Then z(s) is in the acceptance region for H₀    we accept H₀

There are 14 fish in the fish tank. Five-sevenths of
them are goldfish. How many goldfish are in the
tank?

Answers

Answer:

10

Step-by-step explanation:

please help and hurry!

Answers

Answer:

a-16 and a half c-12

Step-by-step explanation:

The ratio of dogs to cats is 4 to 7. how many dogs are present if there is 49 cats

Answers

Answer:

28 dogs are present

Step-by-step explanation:

Dogs : Cats

= 4 : 7

= ? : 49

= 4 x 7 : 7 x 7

= 28 : 49

Solve the proportion then around your answer to the nearest hundredth

Answers

Answer:

[tex] \frac{6.3}{x} = \frac{2.56}{9.3} \\ x = \frac{6.3 \times 9.3}{2.56} \\ x = 22.89[/tex]

Answer:

x = 22.89

Step-by-step explanation:

6.3 / x = 2.56 / 9.3

Cross multiply

58.59 = 2.56x

Divide both sides by 2.56

22.88671875 = x

Round

x = 22.89

UYK
♡ The size of a rhombus is half the longer diagonal.
The height of the ronbus is 3cm
and
the area is 21cm². Find the length of the longer
diagonal

Answers

Answer:

Step-by-step explanation:

Area = height × side

 

21   = 3 * side

 

side = 7 cm

The side of a rhombus is half the longer diagonal

longer diagonal = 2*side =2*7=14cm

pls help. due tmrw. will give brainliest​

Answers

Answer:

0

Step-by-step explanation:

determine the value of the expression 4^3 x 4^ -6

A) -12
B)-1/12
C)64
D)1/64

Answers

Answer:

D) [tex]\frac{1}{64}[/tex]

Step-by-step explanation:

The -6 will never make it negative, just divide instead if multiply

(4x4x4) x (4÷4÷4÷4÷4÷4)

The population of Nowhere, USA was estimated to be 665,200 in 2004, with an expected increase of 1.9 % per year. At the percent of increase
given what was the expected population in 2005? Round your answer to the nearest whole number.

Answers

Answer:

677838 people

Step-by-step explanation:

1.9 percent of 665200 is 12638

665200+12638=677838

Q8. How many solutions does the system of equations have?

Answers

Answer:

it would be the first answer

Step-by-step explanation:

a solution is where the lines meet, and the coorinate is (1,4)

the answer would b A !

-2c + 8 - 7c - 6 -5c + 14 -5c + 14 -9c + 2 -9c + 2 9c - 14 9c - 14 5c + 14 5c + 14

Answers

Answer:

= -152c + 32

Step-by-step explanation:

sry if wrong

R, S, and T represent the lengths of the three sides of a right triangle. Select the equation that represent the relationship between R, S and T. (the two's are exponents)

a. R 2+ S 2= T 2

b. R 2+ T 2 = S 2

c. R 2 + R 2= S 2

d. T 2 + S 2= R 2

e. T 2- S 2= R 2

Answers

Answer:

a. R 2+ S 2= T 2

Step-by-step explanation:

Is this multiple choice? If not, then I will explain my answer.

I would say that it is R² + S² = T² because, the original pythagorean theorem equation is a² + b² = c².

They are put in an alphabetical order, a, b, c.

R goes first in the alphabet, then S and T. So, that's why I say it is:

R² + S² = T²

I hope this helps! Please tell me if I'm incorrect! Have a great day may God bless you!

(Also, if you have a keyboard like mine, then you can make an exponent 2, by doing alt + 0178 )

² <-or just cut and paste this

NO LINKS!!!! Find each measurement indicated. Round your answer to the nearest tenth. Part 2c​

Answers

9514 1404 393

Answer:

BC = 24.0AC = 26.0m∠B = 73.4°m∠B = 30.0°

Step-by-step explanation:

The law of sines tells you the ratio of sides is the same as the ratio of sines of their opposite angles.

This post has 2 kinds of problems.

1) 2 angles and the side between them are given.

2) 2 sides and the angle opposite the longest is given.

For the first type, you need to determine the missing angle (opposite the given side). That comes from the sum of angles of a triangle being 180°. Then you find the remaining sides using the ratio of sines.

For the second type, the angle opposite the shorter side is found using the ratio of sides to find the sine of that angle. Then the third side and third angle can be found using the ratio of sides to find the sine of the angle, and using the ratio of sines to find the missing side.

Straightforward, and tedious. For more than one, I like to use a spreadsheet to crunch the numbers.

_____

1) BC = 24.0

2) AC = 26.0

3) m∠B = 73.4°

4) m∠B = 30.0°

__

In the spreadsheet, the given values are in the first 3 columns. The 4th column is the first one calculated. As indicated above, the angle calculation for problems 1 and 2 uses the sum of angles relation. For problems 1 and 2, this is the angle opposite the given side. The "first side" is the side opposite the "first angle". c = b·sin(C)/sin(B), for example.

For problems 3 and 4, the first unknown angle is the one opposite the "short side", which is the shorter of the given sides. As it happens, this is the side that is asked for in the question. B = arcsin(c·sin(B)/sin(C))

_____

Additional comment

In a spreadsheet, angles are presumed to be in radians for all of the trig functions. We use the DEGREES( ) and RADIANS( ) functions to convert as appropriate.

a length of 25 meters.cindy cut the string in 4 pieces of equal length.how was each piece​

Answers

Answer:

6.25 meters

Step-by-step explanation:

25/4 = 6.25

Length of each cut piece is 6.25 m.

What is division?

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Given

A length of 25 meters cut the string in 4 pieces of equal length.

= [tex]\frac{25}{4}[/tex]

= 6.25

Length of each cut piece is 6.25 m.

Find more information about division here

https://brainly.com/question/5805897

#SPJ2

Find the product of
(−9−11i) and its conjugate.

Answers

Answer:

202

Step-by-step explanation:

First, we can find the conjugate of (-9 -11i)

Given a complex number a + bi, the conjugate would be a - bi.

So, the conjugate of -9 -11i is -9 + 11i.

Now, we multiply!

(-9-11i)(-9+11i)

This resembles the special product (a+b)(a-b) which multiplies out to a^2 - b^2

To apply this we subtract the square of the second number from the first.

(-9)^2 - (11i)^2

81 - 121i^2

i^2 is -1, so we can substitute it in:

81 + 121 = 202

A dry cleaning establishment claims that a new spot remover will remove more than 70% of the spots to which it is applied. To check this claim, the spot remover will be used on 15 spots chosen at random. If fewer than 11 of the spots are removed, we shall not reject thenull hypothesis that p= 0.7; otherwise, we conclude that p > 0.7.

Required:
a. Evaluate α, assuming that p = 0 .7.
b. Evaluate β for the alternative p = 0.9.

Answers

Answer:

α = 1 - 0,915 = 0.085

β = 0.314

Step-by-step explanation:

Dry cleasning clain that spot remover will remove the 70% of spot. The claim support the spot and chose at random.

Null hypothesis:

H0 : p = 0.7

If 11 of spot are removed then hypothesis rejected.

If 11 spots are not removed then hypothesis accepted

H1 : p >0/7

X is the number of spot and binomial random variable.

For a)

The probability of committing the type 1 error use alpha such as

α = P ( type I error)

where X > 10

and p = 0.7

for the given values where n = 12 and r = 10 and p - 0.7

we get

α = 1 - 0,915 = 0.085

b)

The nonrejection of the hypothesis where type II error is false .

The hypothesis for this is 0.9

This is Type II error

β = P ( type II error) = P ( X <= 10 where p = 0.9 )

Where n = 12 , r = 10 and p = 0.9

then

β = 0.314

please help with this math question

Answers

263.27 m^2

rectangle : 15 x 10 = 150 m^2
the half circle at the top has a diameter of 6m. therefore, it’s radius is 3m. if it is cut in half, the part removed from the triangle height is 3m. therefore, the height of the triangle is 35 -15 = 20; 20 - 3 = 17. the height of the triangle is 17. the triangle area formula is a = 1/2(bh).
a = 1/2 (10)(17)
a = 1/2 (170)
a = 85 m^2
the circle would be a = πr^2 but divided by 2 bc it’s a half circle
a = π(3)^2
a = π9
a = 28.27 m^2
150 + 85 + 28.27 = 263.27 m^2

what is matter and it function​

Answers

Answer:

In classical physics and general chemistry, matter is any substance that has mass and takes up space by having volume.

Step-by-step explanation:

In classical physics and general chemistry, matter is any substance that has mass and takes up space by having volume.


Which graph represents the equation y=-
--*x+3?
B)
t

Answers

Answer:

The correct answer would be the 3rd graph!

Hope this helps!

P and q are points on the line 2y-5x=10

Answers

Answer:

[tex]2y-5x =10\\when \ x = 0, \ 2y = 10 => y = 5\\\\\\when \ y = 0, -5x =10 => x =-2\\\\Therefore \ the \ coordinates \ of \ the \ points \ p \ and \ q\ are \ (0, 2) \ and \ (-2, 0)[/tex]

monkeeeeeeeeeeeeeeeeeeeeeee also help

Answers

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

This is the simplest form of the fraction.

9/27 9 Council it self 1 and goes into 27 three times so the answer will be 1/3.

What is the length of AC?

Answers

The length of AC 90°

help what's 1x1+9x20​

Answers

Answer:

The answer is 181

Step-by-step explanation:

PEDMAS

1 x 1 + 9 x 20

1 x 1 = 1

1 + 9 x 20

9 x 20= 180

1+180

which equals 181

Answer:

181

Step-by-step explanation:1x1=1 9x20=180+1=181

Thats your answer my fellow brains

Given lim f(x) = 4. What is lim
X-0
X-0
x5 [F(x)]* ?
оо
O 4
O 64
128

Answers

Answer:

64

Step-by-step explanation:

We are given the limit of f(x) as x approaches 0 is 4.

We are asked to find the limit for 1/4 times (f(x))^4 as x approaches 0.

Let's use limit laws by bringing the limit inside the power.

So we have 1/4 * 4^4.

This equals 4^3=64.

The solution is : 64 is limit.

What is limit?

In mathematics, a limit is the value that a function approaches as the input approaches some value. Limits are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.

here, we have,

Given lim f(x) = 4.

We are given the limit of f(x) as x approaches 0 is 4.

We are asked to find the limit for 1/4 times (f(x))^4 as x approaches 0.

Let's use limit laws by bringing the limit inside the power.

So we have 1/4 * 4^4.

This equals 4^3=64.

Hence, The solution is : 64 is limit.

To learn more on limit click:

https://brainly.com/question/24169952

#SPJ7

If f(x) = x - 9 and g(x) = -6x - 3,
which statement is true?
Click on the correct answer.
-1 is in the domain of fºg.
-1 is not in the domain of fºg.

Answers

9514 1404 393

Answer:

  -1 is in the domain of fºg

Step-by-step explanation:

Both functions are odd-degree polynomials (as written here), so both functions have a domain and range of "all real numbers."

  -1 is in the domain of f(g(x))

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