A circle has an area of 45 square meters. What is the area of a sector with an arc measure of 70°? I need this asap someone help please

Answers

Answer 1

Answer:[tex]8.75\ m^2[/tex]

Step-by-step explanation:

Given

Area of circle is [tex]A=45\ m^2[/tex]

Arc measure [tex]\theta =70^{\circ}[/tex]

and area of sector is given by

[tex]\Rightarrow \frac{\theta }{360^{\circ}}\times \text{Area of circle}[/tex]

[tex]\Rightarrow \frac{70}{360}\times 45[/tex]

[tex]\Rightarrow 0.194\times 45[/tex]

[tex]\Rightarrow 8.75\ m^2[/tex]

So, area of sector is [tex]8.75\ m^2[/tex]


Related Questions

$56 they are 25% off wants to know what is the discount price

Answers

Answer:

$42

Step-by-step explanation:

This is an example of a percentage decrease.

To work out the percentage decrease you would first need to convert the percentage of 25% into a decimal. You can do this by dividing the percentage  of 25 by 100, this gives you 0.25. This is because percentages are out of 100.

The next step is to minus 0.25 from 1, this gives you 0.75. This is because we are working out the percentage decrease.

To work out the discounted price you would multiply the amount of $56 by 0.75, this gives you $42.

1) Divide 25 by 100.

[tex]25/100=0.25[/tex]

2) Minus 0.25 from 1.

[tex]1-0.25=0.75[/tex]

3) Multiply $56 by 0.75.

[tex]56*0.75=42[/tex]

Solve for yyy.
6=2(y+2)
y=

Answers

y = 1, hope this helps!

To evaluate the effectiveness of a treatment, researchers often measure individuals before and after treatment, and record the amount of difference between the two scores. If the differences average around zero, it is an indication that the treatment has no effect. However, if the differences are consistently positive (or consistently negative), it suggests that the treatment does have an effect. For example, Kerr, Walsh, and Baxter (2003) evaluated the effectiveness of acupuncture treatment by measuring pain for a group of participants before and after a 6-week treatment program. Hypothetical data, similar to the results of the study, are as follows. Note that each score measures the difference in pain level after treatment compared to the pain level before treatment. A positive score indicates more pain before treatment than after.
+4, +5, +2, 0, +7, +4, +3, +3, +2, -2, +1, +6, 0, +4, +7, -1, +3, +5, +4, +2

Required:
a. Compute the mean for the sample of n=20 scores.
b. Does it appear the treatment has an effect? How do you know?

Answers

Answer:

Step-by-step explanation:

researchers often measure individuals before and after treatment, and record the amount of difference between the two scores.

If the differences average around zero, it is an indication that the treatment has no effect.

However, if the differences are consistently positive (or consistently negative), it suggests that the treatment does have an effect.

A positive score indicates more pain before treatment than after.

a. The mean of the sample for n = 20 scores is

+4, +5, +2, 0, +7, +4, +3, +3, +2, -2, +1, +6, 0, +4, +7, -1, +3, +5, +4, +2

4 + 5 + 2 + 0 + 7 + 4 + 3 + 3 + 2 + (-2) + 1 + 6 + 0 + 4 + (-1) + 3 + 5 + 4 + 2

    = 55-3 / 20

   = 52/20 = +2.6

b. An average of +2.6 was estimated thus, it appears the treatment has an effect as a positive sign indicates more pain before treatment than after.

Given the table of candy distributions below, find P(Not green), the probability
of selecting anything but a green candy at random from a large bag.
Above or below is the list of possible answers

Answers

Answer:

C

Step-by-step explanation:

Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1

Answers

Answer:

[tex] P(z<1.13) = 0.8708[/tex]

And the best option would be:

[tex] 0.8708[/tex]

Step-by-step explanation:

We assume that the distribution for the random variable is:

[tex] X \sim N (\mu=0 , \sigma=1) [/tex]

For this case we want to calculate the following probability:

[tex] P(z<1.13)[/tex]

And we can use the normal standard distribution or excel and we got:

[tex] P(z<1.13) = 0.8708[/tex]

And the best option would be:

[tex] 0.8708[/tex]

Rufus invest 10,000 in a savings account that pays 3.5 simple interest each year. If Rufus makes no withdrawal or deposits to the account how much money will be in the account after 7 years ?

Answers

Answer:

$1272.28

Step-by-step explanation:

Our equation is

[tex]p*(1+x)^{t}[/tex] , with p being the starting amount, x being the interest rate, and t being the time. Plug our variables in to get

[tex]1000*(1+0.035)^{7}[/tex] = around 1272.28

Which best describes the range of numbers that satisfy the inequality x> 124?
The range of numbers has an upper limit but no lower limít.
The range of numbers has a lower limit but no upper limit.
The range of numbers has a lower limit and an upper limit.
The range of numbers has neither a lower limit nor an upper limit.

Answers

Answer:

Answer shown below

Step-by-step explanation:

The range has a lower limit but no upper band limit

(124, infinity)

Answer:

B: The range of numbers has a lower limit but no upper limit.

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

I took the test and I got 100%.

Need help with Math.

Answers

Answer:

  4^(11/20)

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

Using that here, we have ...

  4^(3/4)/4^(1/5) = 4^(3/4 -1/5)

  = 4^(15/20 -4/20) = 4^(11/20)

What is the square root of -1?

Answers

Answer:

i

Step-by-step explanation:

i means imaginary because whatever you try you can't get a number which squared gets a negative number.

A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and write

Answers

Writing the integral in polar coordinates is less taxing:

[tex]\displaystyle\iint_Rf(x,y)\,\mathrm dA=\iiint_Rrf(r\cos\theta,r\sin\theta)\,\mathrm dr\,\mathrm d\theta[/tex]

The region R is captured by the set of points (in polar, of course)

[tex]R=\left\{(r,\theta)\mid1\le r\le3\land\dfrac{5\pi}4\le\theta\le2\pi\right\}[/tex]

so that the integral is

[tex]\displaystyle\int_{5\pi/4}^{2\pi}\int_1^3rf(r\cos\theta,r\sin\theta)\,\mathrm dr\,\mathrm d\theta[/tex]

In rectangular coordinates, we have to split up the region so that

[tex]R=R_1\cup R_2\cup R_3[/tex]

where

[tex]R_1=\left\{(x,y)\mid-\dfrac3{\sqrt2}\le x\le-\dfrac1{\sqrt2}\land-\sqrt{9-x^2}\le y\le x\right\}[/tex]

[tex]R_2=\left\{(x,y)\mid-\dfrac1{\sqrt2}\le x\le1\land-\sqrt{9-x^2}\le y\le -\sqrt{1-x^2}\right\}[/tex]

[tex]R_3=\left\{(x,y)\mid1\le x\le3\land-\sqrt{9-x^2}\le y\le0\right\}[/tex]

and the integral is split into 3 over these regions,

[tex]\displaystyle\iint_Rf(x,y)\,\mathrm dA=\sum_{n=1}^3\iint_{R_n}f(x,y)\,\mathrm dx\,\mathrm dy[/tex]

Mr. Otsuki has 25 bills worth $300. He has $5, $10, and $20 bills. How many of each type of bill could he have if he has exactly ten $20 bills and at least nine $5 ...

Answers

Answer:

Mr. Otsuki could have:

10 $20 bills

5 $10 bills

10 $5 bills

but there are many other ways.

Step-by-step explanation:

We already know that Mr. Otsuki already has at least $245.

10 $20 bills - $200

at least 9 $5 bills - $45

300 - 245 = 55

55 can be made up in many different ways

5 tens + 1 five

9 fives+ 1 tens

4 tens + 3 fives

5 fives+ 3 tens

2 tens + 7 fives

So there are like five answers to this question:

A.

10 $20 bills

5 $10 bills

10 $5 bills

B.

10 $20 bills

1 $10 bills

9 $5 bills

C.

10 $20 bills

4 $10 bills

3 $5 bills

D.

10 $20 bills

3 $10 bills

5 $5 bills

10 $20 bills

2 $10 bills

7 $5 bills

In a large population, 69% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that At least one of them has been vaccinated?

Answers

Answer:

0.991

Step-by-step explanation:

Let Q be probability none of the 4 are vaccinated.

Let P be probability that at least 1 is vaccinated.

P = 1 - Q

Now if 69% are vaccinated, then 31% are not vaccinated.

Thus any given person has a probability of 0.31 of not being vaccinated.

Q = (0.31)^4 = 0.00924

P = 1 - 0.00924 = 0.991

Sayid is buying a frame to go around the perimeter of a painting his daughter made. Each inch of framing costs ​$0.40. What is the total cost of the framing for the​ painting? . What is the first step you need to​ do? What is the answer to the first​ step? Write an equation to show your work. Choose the correct first step below.

Answers

Answer:

The total cost of the framing for the painting is $0.40·P

Step-by-step explanation:

The first step to be done is to measure the length of the perimeter of the painting

Whereby the perimeter of the painting is p inches long, then the total cost of the framing will be found to be as follows

Total cost of framing = Cost per inch of framing × Perimeter of painting

∴ Total cost of framing = $0.40 × p

The total cost of the framing for the painting = $0.40·P.

Mrs.Mark has 3/4 pond of cheese to use making sandwiches. She uses about 1/34 pound of cheese on each sandwich. How many sandwiches can she make with the cheese she has?

Answers

Answer:

Step-by-step explanation:  Divide

3

4

which is the amount of cheese she has,

by

1

32

which is the amount of cheese required for each sandwich.

3

4

1

32

This is a complex fraction.

Simplify the fraction by multiplying both the numerator fraction and the denominator faction by the inverse of the bottom fraction

1

32

3

4

×

32

1

1

32

×

32

1

The bottom fraction times its inverse is equal to

1

leaving

3

4

×

32

1

4

divides out of

4

and

32

leaving

3

×

8

=

24

sandwiches

PLS HELP
f(1) = -6
f(2) = -4
f(n) = f(n - 2) + f(n - 1)
f(3) =

Answers

Answer:

f(1) = -6

f(2) = -4

f(n) = f(n - 2) + f(n - 1)

=> f(3) =  f(2) + f(1) = -6 + (-4) = -10

Hope this helps!

:)

Answer:

f(3)=-10

Step-by-step explanation:

Khan

Express 30p as a fraction of £3.00

Answers

Answer:

[tex]\frac{1}{10} \£[/tex]

Step-by-step explanation:

We know that £1 equals 100p.

Knowing this relation, we can use the rule of three

[tex]30p \times \frac{ \£1}{100p} =0.3 \£[/tex]

Then, we form the fraction

[tex]\frac{0.3 \£}{\£ 3.00} =\frac{3}{30} =\frac{1}{10} \£[/tex]

Therefore, the fraction of of £3.00 is

[tex]\frac{1}{10} \£[/tex]

Unknown cultural affiliations and loss of identity at high elevations." These are words used to propose the hypothesis that archaeological sites tend to lose their identity as altitude extremes are reached. This idea is based on the notion that prehistoric people tended not to take trade wares to temporary settings and/or isolated areas. As elevation zones of prehistoric people (in what is now the state of New Mexico) increased, there seemed to be a loss of artifact identification. Consider the following information.Elevation Zone Number of Artifacts Number Unidentified7000-7500 ft 114 715000-5500 ft 142 23Let p1 be the population proportion of unidentified archaeological artifacts at the elevation zone 7000-7500 feet in the given archaeological area. Let p2 be the population proportion of unidentified archaeological artifacts at the elevation zone 5000-5500 feet in the given archaeological area.(a) Find a 95% confidence interval for p1 − p2. (Round your answers to three decimal places.)lower limit: upper limit:

Answers

Answer:

Step-by-step explanation:

What is the square root of -1?
-j.
-1

Answers

Answer:

Its not a real number for the square roots of negative number

its not possible... [tex]\sqrt{-4}[/tex] = -2 x -2   no...   2 x 2   no..... -2 x 2 yea but thats not square root anymore...

Step-by-step explanation:

Give me brainliest!!!

What does X equal please help I don’t want to do summer school!!!

Answers

Answer:

180-165 = 15 (remember how a line is always 180 degrees)

Answer:

15

Step-by-step explanation:

Since 180-165=15. That is the answer for x.

PLZ MARK BRAINLIEST!!!

Max and Leah each have a lemonade stand . Max sold 12 glasses the first hour and 10 glasses each hour after that . Leah sold 8 glasses the first hour and 10 glasses each hour after that . How many glasses will each person have sold after 5 hours?

Answers

Answer:

max wil sell 52 because the first hour he sold 12 5hours -1 hour = 4 hour

4 hour × 10 p/h= 40

max sold 12+40 =52

leah will sell 58 because the first hour she sold 8

5hours - 1hour = 4 hours

4hours× 10 glasses p/h = 40

leah sold 40+8 =48 glasses

If Max and Leach sold 10 glasses each hour then after Max sold 52 glasses after 5 hours and Leach sold 48 glasses after 5 hours because it forms arithmetic progression.

What is an arithmetic progression?

It is a type of sequence in which each number have a common difference from the other number. The nth term of an arithmetic progression can be calculated as a+(n-1)d.

How to calculate nth term of an A.P.?

For Max we have been given that the first term is 12 and the common difference is 10.

After 10 hours the glasses which Max will sell as 12+(5-1)*10

=12+40=52 glasses

For Leach we have been given that the first term is 8 and the common difference is 10.

After 5 hours the glasses which Leach will sell as 8+(5-1)*10

=48 glasses.

Hence the number of glasses will be 52 and 48 glasses for Max and Leach.

Learn more about arithmetic progression at https://brainly.com/question/13989292

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Quickly Please!
Which equation has the solutions x = StartFraction 5 plus-or-minus 2 StartRoot 7 EndRoot Over 3 EndFraction?
3x2 – 5x + 7 = 0
3x2 – 5x – 1 = 0
3x2 – 10x + 6 = 0
3x2 – 10x – 1 = 0

Answers

Answer:

3x^2-10x+6=0

Step-by-step explanation:

3x^2-10x+6=0

Δ=10^2-4*3*6=100-72=28

V28=V4*7=2V7

x1=(10+2V7)/6=2(5+V7)/6=(5+V7)/3

x2=(5-V7)/3

Answer:

d

Step-by-step explanation:

edge

The base of a prism is never a

Answers

Answer:

circle,oval overall its never round or with curves

Step-by-step explanation:

The base of a prism is never a ''Circle''. Because by definition Circular prism is not a prism.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

To find the never possible shape of base of prism.

Now, We know that;

A prism is a solid that has two faces that are parallel and congruent.

Hence, If you take any cross section of a prism parallel to those bases by making a cut through it parallel to the bases, the cross section will look just like the bases.

Hence, Circular prism is not a prism according to definition.

Learn more about the triangle visit;

brainly.com/question/1058720

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I need help with this problem

Answers

Answer:

Step-by-step explanation:

ill help

please help me to find the correct answer

Answers

Answer:

Step-by-step explanation:

1) Your calculator can evaluate f(-5) for you. It will be ...

  f(-5) = (1/3)^(-5) -3 = 243 -3

  f(-5) = 240

So, a point on the graph is (-5, 240).

Other points on the graph will be (1, -8/3), (0, -2), (-1, 0), (-2, 6).

__

2) The given function f(x) can be written as ...

  f(x) = (1/3)^x -3 = (3^-1)^x -3 = 3^-x -3

So, the transformed function is transformed by adding 1, changing the horizontal asymptote from -3 to -2. The whole graph is translated upward one unit. Each of the above-listed points will have 1 added to its y-value.

What is 50% of 30 and what is 30% of 10

Answers

Answer:

50% of 30 is 15.

30% of 10 is 3

For the given​ data, (a) find the test​ statistic, (b) find the standardized test​ statistic, (c) decide whether the standardized test statistic is in the rejection​ region, and​ (d) decide whether you should reject or fail to reject the null hypothesis. The samples are random and independent. ​
Claim: μ1 < μ2​, α = 0.01. Sample​ statistics: x^-1 = 1240, n1 = 40, x^-2 = 1200 and n2 = 80. Population​ statistics: σ1 = 65 and σ2 = 110.
(a) The test statistic for μ1 - μ2 is _________.
(b) The standardized test statistic for μ1 - μ2 is __________. (Round to two decimal places as needed.)
(c) Is the standardized test statistic in the rejection region?
O Yes Ο Nο
(d) Should you reject or fail to reject the null hypothesis?

Answers

Complete Question

The complete question is shown on the first uploaded image  

Answer:

a

  The test statistic for μ1 - μ2 is   [tex]\= x_1 - \= x_2 = 40[/tex]

b

  The standardized test statistic for μ1 - μ2 is   [tex]z = 2.5[/tex]

c

  No

d

    Fail to reject null hypothesis  [tex]H_O : \mu_1 \ge \mu_2 ; H_a : \mu_1 < \mu_2[/tex] At the 1% significance level , there is insufficient evidence to support the claim

Step-by-step explanation:

From the question we are told that

The given data is  

         [tex]\= x_1 = 1240[/tex]

          [tex]\= x_2 = 1200[/tex]

           [tex]n_1 = 40[/tex]

           [tex]\alpha = 0.01.[/tex]

          [tex]n_2 = 80.[/tex]

           [tex]\sigma 1 = 65 \ and\ \sigma2 = 110.[/tex]

Now the test statistic is mathematically evaluated as

           [tex]\= x_1 - \= x_2 = 1240 -1200[/tex]

          [tex]\= x_1 - \= x_2 = 40[/tex]

 The standardized test​ statistic is mathematically represented as

        [tex]z = \frac{\= x_1 - \= x_2}{\sqrt{\frac{\sigma_1^2}{n_1} } + \frac{\sigma_2^2}{n_2} }[/tex]

substituting values

     [tex]z = \frac{\= 1240 - \= 1200}{\sqrt{\frac{65^2}{40} } + \frac{110^2}{80} }[/tex]

     [tex]z = 2.5[/tex]

Now  the standardized test​ statistic is not in the rejection region because the z value of  [tex]\alpha[/tex]  is  2.33 and  the standardized test​ statistic  is greater than that hence it is not in the rejection region

This implies that the test statisties failed to reject the null hypothesis at significance level of 0.01 , there insufficient evidence to support the claim

Jake received $300 for his birthday. He must decide how much of it to save and how much to spend. His bank has a 5% interest rate. How much more would be in his account after 5 years if he saved $300 than if he saved $250?

Answers

Answer:

Assuming no compounding, given an interest rate of 5%, after 5 years the $300 dollars become:

300*(1+5%)^5= $382.884469

By saving $250 instead,

250*(1.05)^5=319.07039

The difference is 382.8845-319.0704= 63.8141

Step-by-step explanation:

The formula is FV=PV*(1+r%)^T

Where:

FV- future value

PV- present value

r%- interest rate

T- Time (usually in years)

The equation of a function is y = 10 – 9x.Find the value of x when

y = -8,


y = -26

Answers

Answer:

x = 2, x = 4

Step-by-step explanation:

The equation y = 10 - 9x is a linear equation and the value of either y or x can be found by substituting the given values of either y or x.

given that y = -8, and substituting this into equation y = 10 - 9x,

we have, -8 = 10 - 9x

10 + 8 = 9x

9x = 18; dividing both sides by 9

x = 2

given that y = -26, and substituting this into equation y = 10 - 9x,

we have, -26 = 10 - 9x

10 + 26 = 9x

9x = 36; dividing both sides by 9

x = 4

Determine which of the following relations is a function.

Answers

Answer:

The farthest left box.

Step-by-step explanation:

In order for a relation to be a function, the order of numbers must be constant from the input to the output. The other numbers do not have a consistent value, but the one on the far left is x=+5 and y=-5, and it continues this way throughout the relation.

Hopefully this helped!

Answer: Hi! I am doing the same school program and the answer is A and C! Hope this helps.

Female athletes receive 25

Answers

okay and? what’s next
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