find the area of this figure to the nearest hundredth. Use 3.14 to approximate pi.

Find The Area Of This Figure To The Nearest Hundredth. Use 3.14 To Approximate Pi.

Answers

Answer 1

Answer:

86.28 ft²

Step-by-step explanation:

The figure given consists of a rectangle and a semicircle.

The area of the figure = area of rectangle + area of semicircle

Area of rectangle = [tex] l*w [/tex]

Where,

l = 10 ft

w = 8 ft

[tex] area = l*w = 10*8 = 80 ft^2 [/tex]

Area of semicircle:

Area of semicircle = ½ of area of a circle = ½(πr²)

Where,

π = 3.14

r = ½ of 8 = 4 ft

Area of semi-circle = ½(3.14*4) = 6.28 ft²

Area of the figure = area of rectangle + area of semi-circle = 80 + 6.28 = 86.28 ft² (nearest hundredth)

Answer 2

Answer:

the area of the figrue is 105.12

Step-by-step explanation:

area of rectangle A= l · w10 x 8= 80area of simi-circle= 1/2(3.14 x r²)1/2 x 3.14 x 4²=25.1280+25.12=105.12 (nearest Hundredth)

Related Questions

Which of the following is the solution set of the given equation? (x - 3) - 2(x + 6) = -5 a) {-4} b) {8} c) {-10}

Answers

Answer:

x = -10

Step-by-step explanation:

(x - 3) - 2(x + 6) = -5

Distribute

x-3 -2x-12 = -5

Combine like terms

-x -15 = -5

Add 15 to each side

-x-15+15 = -5+15

-x=10

Multiply each side by -1

x= -10

Answer:

c

Step-by-step explanation:

Give an example of when and why one would use a continuity correction factor?

Answers

Answer:

An example of when a continuity correction factor can be used is in finding the number of tails in 50 tosses of a coin within a given range .

and continuity correction factor is used when a continuous probability distribution is used on a discrete probability distribution

Step-by-step explanation:

An example of when a continuity correction factor can be used is in finding the number of tails in 50 tosses of a coin within a given range .

continuity correction factor is used when a continuous probability distribution is used on a discrete probability distribution,  continuity correction factor creates an adjustment on a discrete distribution while using a continuous distribution

5. During a national debate on changes to health care, a cable news service performs an opinion poll of 500 small business owners. It shows that 65% of small-business owners do not approve of health care changes. Develop a 95% confidence interval for the proportion opposing health care changes. Use 4 decimal places.

Answers

Answer:

The 95% confidence interval for the proportion opposing health care changes is (0.6082, 0.6918).

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information provided is:

[tex]\hat p=0.65\\n=500\\\text{Confidence level}=95\%[/tex]

The critical value of z for 95% confidence level is:

[tex]z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96[/tex]

*Use a z-table.

Compute the 95% confidence interval for the proportion opposing health care changes as follows:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

     [tex]=0.65\pm 1.96\sqrt{\frac{0.65(1-0.65)}{500}}\\\\=0.65\pm 0.04181\\\\=(0.60819, 0.69181)\\\\\approx (0.6082, 0.6918)[/tex]

Thus, the 95% confidence interval for the proportion opposing health care changes is (0.6082, 0.6918).

Please help with this

Answers

Answer:

A. 120

Step-by-step explanation:

The rest of the answers are acute.

120 is the only one that matches the type of angle <V is.

Always pay attention to the type of angle it is.

A dice is rolled twice. What is the probability of rolling a 3 followed by a 2?

Answers

The two rolls of the number cube are independent events because

the result of 1 roll does not affect the result of the other roll.

To find the probability of two independent events, we first find

the probability of each event, then we multiply the probabilities.

We can find the probability of an event using the following ratio:

number of favorable outcomes/total number of outcomes

Since there is only one way to roll a 3 and there are six

possible outcomes, 1, 2, 3, 4, 5, and 6, the probability of rolling a 3 is 1/6.

Since there is also only one way to roll a 2 and there are

six possible outcomes, the probability of rolling a 2 would be 1/6.

Now we multiply the probabilities.

1/6 x 1/6 is 1/36.

So the probability of rolling a 3 and a 2 is 1/36.

Answer:

1/36

Step-by-step explanation:

Probability of rolling 3 in a dice = 1/6.

Probability of rolling 2 = 1/6

Since, 2 should be followed after 3; we multiply 1/6 and 1/6

1/6 x 1/6 = 1/36.

I NEED HELP WITH THESE 4 ASAP

Answers

Answer:

I'm confused by this. What do they mean by prove?

Step-by-step explanation:

A player at a fair pays Rs. 100 to roll a dice. The player receives Rs. 50 if the number of dots facing up is equal to 5, Rs. 200 if the number is 6, but nothing otherwise. Find the expected value of the reward Y. What is the expected value of the gain? Find out the standard deviation of Y.

Answers

Answer:

The dice has 6 options:

if the outcome is 5, player wins 50

if the outcome is 6, player wins 200

if the outcome is another number, the player does not win anything.

Now, remember that the expected value can be written as:

E = ∑xₙpₙ

where xₙ is the event n, and pₙ is the probability of that event.

for a dice, the probabilty for each number is 1/6

The expected value is:

E = (1/6)*(0 + 0 + 0 + 0 + 50 + 200) = 41.66

The expected gain will be E - 100 (because the player pays 100 in order to play)

Then the expected gain is:

G = 41.66 - 100 = -58.33

The standard deviation can be written as:

s = √( ∑(x - x)^2/n)

where x is the mean, in this case the mean is:

(200 + 50 + 4*0)/6 = 41.66  and n = 6.

s = √( (1/6)*(4*(0 - 41.66)^2 + (50 - 41.66)^2 + (200 - 41.66)^2) ) = 73

So we have a lot of standard deviation on Y.

1 If a = p^1/3-p^-1/3
prove that: a^3 + 3a = p - 1/p​

Answers

Hello, please consider the following.

We know that

[tex]a = p^{\frac{1}{3}}-p^{-\frac{1}{3}}\\\\=p^{\frac{1}{3}}-\dfrac{1}{p^{\frac{1}{3}}}[/tex]

And we can write that.

[tex](p-\dfrac{1}{p})^3=(p-\dfrac{1}{p})(p^2-2+\dfrac{1}{p^2})\\\\=p^3-2p+\dfrac{1}{p}-p+\dfrac{2}{p}-\dfrac{1}{p^3}\\\\=p^3-\dfrac{1}{p^3}-3(p-\dfrac{1}{p})[/tex]

It means that, by replacing p by [tex]p^{1/3}[/tex]

[tex](p^{1/3}-\dfrac{1}{p^{1/3}})^3=p-\dfrac{1}{p}-3(p^{1/3}-\dfrac{1}{p^{1/3}})\\\\\\\text{ So }\\\\a^3=p-\dfrac{1}{p}-3a\\\\<=>\boxed{ a^3+3a=p-\dfrac{1}{p} }[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Look at the chore chart--write a notice and a wonder about the chart. Click on the image to see the chart. Enter ur answer

Answers

Answer:

I noticed that to babysit my cousin was the chore that doled out the most, and I wonder why pet my dog is even a chore. Do they not love their pets?

5 STARS IF CORRECT! Can you translate a phrase or sentence into symbols? Explain the answer.

Answers

Answer:

See below.

Step-by-step explanation:

It depends on the sentence or phrase. If the sentence includes an operation of numbers or something related to comparing numbers, then maybe it can be translated into symbols. If the sentence or phrase has nothing to do with quantities, or operations or comparison of quantities, then probably it can't.

Examples:

1) The boy went for a walk.

There's nothing to translate into symbols in this case.

2) I had $10 in my bank account, then I deposited n dollars. Now I have $30 in my account.

In this case, I can translate the sentence into an equation.

10 + n = 30

80% of ______ is 1,200?

Answers

Answer:

the unknown number is 1500

Step-by-step explanation:

let "a" be the unknown number we finding so from the above question we can deduce that

(80/100)*a=1200

80a=1200*100

80a=120000

a=120000/80

a=1500

Which are perfect squares? Check all that apply. 9 , 24 , 16 , 200 , 169 , 625

Answers

the perfect squares in that group are 9 , 16 , 169 , 625

Answer:

A. 9

C. 16  

E. 169

F. 625

Step-by-step explanation:

Transform the given parametric equations into rectangular form. Then identify the conic.

Answers

Answer:

Solution : Option B

Step-by-Step Explanation:

We have the following system of equations at hand here.

{ x = 5 cot(t), y = - 3csc(t) + 4 }

Now instead of isolating the t from either equation, let's isolate cot(t) and csc(t) --- Step #1,

x = 5 cot(t) ⇒ x - 5 = cot(t),

y = - 3csc(t) + 4 ⇒ y - 4 = - 3csc(t) ⇒ y - 4 / - 3 = csc(t)

Now let's square these two equations. We know that csc²θ - cot²θ = 1, so let's subtract the equations  as well. --- Step #2

 

( y - 4 / - 3 )² = (csc(t))²

- ( x - 5 / 1 )² = (cot(t))²  

___________________

(y - 4)² / 9 - x² / 25 = 1

And as we are subtracting the two expressions, this is an example of a hyperbola. Therefore your solution is option b.

Write the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. 1/(x-1)(x 9)

Answers

Answer:

[tex]\frac{A}{(x-1)} + \frac{B}{(x-9)}[/tex]

Step-by-step explanation:

Given the expression [tex]\dfrac{1}{(x-1)(x-9)}[/tex], we are to write the expression as a partial fraction. Writing as a partial fraction means rewriting the expression a s a sum of two or more expression.

Before we will do this we will need to check the nature of the function at the denominator whether it is linear, quadratic or a repeated function. According to the question, the denominator at the denominator is a linear function and since it is a linear function, we can separate both linear function without restriction as shown;

[tex]\dfrac{1}{(x-1)(x-9)} = \frac{A}{(x-1)} + \frac{B}{(x-9)}[/tex] where A and B are the unknown constant which are numerical values.

Question: 2. Musah Stands At The Centre Of A Rectangular Field. He First Takes 50 Steps North, Then 25 Steps West And Finally 50 Steps On A Bearing Of 3150 Sketch Musah's Movement Mark 41 Ii. How Far West Is Musah's Final Point From The Centre? [Mark 41 Iv. How Far North Is Musah's Final Point From The Centre? Mark 41 Describe How You Would Guide A JHS Student​

Answers

Answer:

60.36 steps West from centre

85.36 steps North from centre

Step-by-step explanation:

Refer to attached

Musah start point and movement is captured in the picture.

1. He moves 50 steps to North, 2. Then 25 steps to West, 3. Then 50 steps on a bearing of 315°. We now North is measured 0°

or 360°, so bearing of 315° is same as North-West 45°.

Note. According to Pythagorean theorem, 45° right triangle with hypotenuse of a has legs equal to a/√2.

How far West Is Musah's final point from the centre?

25 + 50/√2 ≈ 60.36 steps

How far North Is Musah's final point from the centre?

50 + 50/√2 ≈ 85.36 steps

x+9=13352643-2x answer get brainliest

Answers

Answer:

4450878

Step-by-step explanation:

can someone help me please

Answers

Answer:

[tex] {x}^{4} = 2880[/tex]

Step-by-step explanation:

[tex] {y}^{2} = 20 \: (eq . \: 1)[/tex]

[tex] {x}^{2} = {(2 \sqrt{3y)} }^{2} = 12y [/tex]

Putting value of eq. 1 in the following:

[tex] {x}^{4 } = {(12y)}^{2} = 144{y}^{2} = 144 \times 20 = 2880[/tex]

How many fluid ounces are there in 4pints?

Answers

Answer: 64 fluid ounces

Step-by-step explanation:

1 pint=16 fl oz

16*4=64

Monique makes $11 per hour delivering pizzas. Monique works Monday
through Friday, and on average she earns $20 a day in tips. If Monique
made no less than $450 for one week, find an inequality for the number
of hours she worked​

Answers

Answer:

x > 39 hours

Step-by-step explanation:

Let x be the number of hours she worked.

11x - is how much she would get paid for working for x hours

11x + 20 > 450

11x > 430

x > 39 hours

Hope that helped!!! k

if the perimeter of Milo's rectangular backyard Is 16 feet. which of the following could be the dimensions of the yard? circle all that apply. explain your choice

Answers

Answer:

the answer is a and d

Step-by-step explanation:

6 + 6 + 2 +2 = 16

3 + 3 + 5 + 5 = 16

to find perimeter, double each factor and add :)

The cost in dollars y of producing x computer
desks is given by y = 20x + 3000
х
100
200
300
a. Complete the table
y
b. Find the number of computer desks that can be produced for $4300. (HintFind x when y = 4300)
a. Complete the table.
х
100
200
300
y
b. For $4300, computer desks can be produced.

Answers

Answer:

Step-by-step explanation:

a. table

x = 100,y = 20*100+3000 = 2000+3000 = 5000

x = 200,y = 20*200+3000 = 4000+3000 = 7000

x = 300,y = 20*300+3000 = 6000+3000 = 9000

b:

y = 4300

4300 = 20x+3000

20x = 4300-3000

20x = 1300

x = 1300/20

x  = 65

so 65 computer desks can be produced.

Find the probability of winning a lottery with the following rule. Select the winning numbers from​ 1, 2, . . .​ ,34 . ​(In any order. No​ repeats.)

Answers

Complete Question

Find the probability of winning a lottery with the following rule. Select the  six  winning numbers from​ 1, 2, . . .​ ,34 . ​(In any order. No​ repeats.)

Answer:

The  probability is  [tex]P(winning ) = 7.435 *10^{-7}[/tex]

Step-by-step explanation:

From the question we are told that

     The  total winning numbers   n =  34

      The total number to select is   r =  6

The total outcome of  lottery is mathematically represented as

      [tex]t_{outcome}) = \left n } \atop {}} \right. C_r[/tex]

      [tex]t_{outcome}) = \frac{n! }{(n-r )! r!}[/tex]

substituting values

      [tex]t_{outcome}) = \frac{ 34 ! }{(34 - 6 )! 6!}[/tex]

      [tex]t_{outcome}) = \frac{ 34 ! }{28 ! 6!}[/tex]

     [tex]t_{outcome}) =1344904[/tex]

The  number of desired outcome is  

           [tex]t_{desired} = 1[/tex]

 this is because the desired outcome is choosing the six winning number

   The probability of winning a lottery is mathematically represented as

      [tex]P(winning ) = \frac{t_{desired}}{t_{outcome}}[/tex]

substituting values  

     [tex]P(winning ) = \frac{1}{1344904 }[/tex]

      [tex]P(winning ) = 7.435 *10^{-7}[/tex]

     

Assume that the following confidence interval for the difference in the mean length of male babies​ (sample 1) and female babies​ (sample 2) at birth was constructed using independent simple random ​samples:0.2 in2.7 in. What does the confidence interval suggest about the difference in length between male babies and female​ babies?

Answers

Answer:

The confidence interval consist of positive values, it implies that the mean length of male babies at birth is more than that of female babies.

Step-by-step explanation:

Consider the hypothesis for testing the difference in the mean length of male babies and female babies​ at birth:

H₀: There is no significant difference between the mean length of male babies and female babies​ at birth, i.e. μ₁ - μ₂ = 0.

Hₐ: There is a significant difference between the mean length of male babies and female babies​ at birth, i.e. μ₁ - μ₂ ≠ 0.

The decision rule based on the confidence interval is:

If the (1 - α)% confidence interval does not consist of the null value, i.e. 0 then the null hypothesis will be rejected.

The confidence interval for the difference in the mean length of male babies and female babies​ at birth is:

CI = (0.2 in, 2.7 in)

The confidence interval does not consist of the null value, i.e. 0.

Thus, the null hypothesis will be rejected.

Hence, concluding that there is a significant difference between the mean length of male babies and female babies​ at birth.

Since the confidence interval consist of positive values, it implies that the mean length of male babies at birth is more than that of female babies.

Your’re in charge of evening entertainment for an important client group You use the company credit card to take their four representatives out to dinner. Two people order the steak entree for 32.50 Two people order the grilled tuna for 28.90 and you order the lasagna for 24.95 When the bill comes you tip 20% what is the amount of tip you leave

Answers

Answer:

total amount paid = 32.5 + 28.9 + 24.95 = 86.35

20% of the total amount paid = 0.2 * 86.35 = 17.27

you tip 17.25$

The distance between two cities on a map is 4 centimeters. If the scale is 0.5 cm:1 km, how many kilometers apart are the actual cities?

Answers

Answer:

8 km

Step-by-step explanation:

            1 km

4 cm x -------- = 8 km

           0.5 cm

The actual cities are 8 km apart from each other at the scale 0.5 cm = 1 km.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The distance between two cities on a map = 4 centimeters.

Also,  the scale

0.5 cm = 1 km

To find actual distance between cities, use ratio properly,

0.5 cm = 1 km

1 cm = 2 km

4 cm = 8 km

The distance between the actual cities is 8 km.

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ2

What requirements are necessary for a normal probability distribution to be a standard normal probability​ distribution? Choose the correct answer below. A. The mean and standard deviation have the values of and B. The mean and standard deviation have the values of and C. The mean and standard deviation have the values of and D. The mean and standard deviation have the values of and

Answers

Answer:

In order for a Normal Probability Distribution to be a Standard Normal Probability Distribution, the mean and standard deviation must have the values of µ = 0 and σ = 1.

Where µ refers to the Mean of the distribution and σ refers to the standard deviation.

µ is pronounced 'mu' and σ is pronounced sigma.

Cheers!

Solve for x in the diagram below.
30°
80°
2.cº
T =

Answers

180 = 80 + 2x + 3x
100 = 5x
x = 20

Hello, there!!!!

Given that,

80°,3x° and 2x°are three angles on a st.line.

we have,

2x°+3x°+80°= 180° {The total sum of angles on a st. line is 180°}.

or, 5x°= 180°-80°

or, 5x°=100°

or, x= 100°/5

Therefore the value of x is 20°.

Hope it helps...

Amir throws a stone off of a bridge into a river. The stone's height (in meters above the water) ttt seconds after Amir throws it is modeled by h(t)=-5t^2+20t+160h(t)=−5t 2 +20t+160h, left parenthesis, t, right parenthesis, equals, minus, 5, t, squared, plus, 20, t, plus, 160 Amir wants to know when the stone will reach its highest point. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation. h(t)=h(t)=h, left parenthesis, t, right parenthesis, equals 2) How many seconds after being thrown did the stone reach its highest point?

Answers

Answer:

-5*(t-2)^2+180

Step-by-step explanation:

That's the answer on khan academy.

Also the second question is 2.

Answer:

-5(t-2)^2+180 and 2

Step-by-step explanation:

hi there enjoy ur answer have a great day bye !!! :D oh wait seems sone wants to say something ʕ•ᴥ• (please give brainiest) whisperered the mysterious koala.

which of the following is equal to 5^-3?

Answers

Answer:

5⁻³ = 1/5³ = 1/125

Answer: 1/125

Step-by-step explanation:

Find the sum (x^3+5x^2+3x-7)+(8x-6^2+6)
Find the difference (7x-3x^2+2)-(x^3+5x^2+2x-5)

Answers

Answer:

x^3 - x^2 + 11x - 1

-x^3 - 8x^2 + 5x + 7

Step-by-step explanation:

Find the sum

(x^3+5x^2+3x-7)+(8x-6x^2+6)

=x^3+5x^2+3x-7+8x-6x^+6

Collect like terms

=x^3 +5x^2-6x^2+3x+8x-7+6

Add the like terms

= x^3 - x^2 + 11x - 1

Find the difference (7x-3x^2+2)-(x^3+5x^2+2x-5)

(7x-3x^2+2)-(x^3+5x^2+2x-5)

= 7x-3x^2+2-x^3-5x^2-2x+5

Collect like terms

= -x^3-3x^2-5x^2+7x-2x+2+5

Add the like terms

= -x^3 - 8x^2 + 5x + 7

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Victorinox is the name of the company that manufactures Swiss army knives. As a result of new regulations governing what passengers could carry with them on airplane trips, the company has lost 30 percent of its business. In other companies, this might have led to business failure, but because Victorinox had _____ plans, it was able to continue to operate profitably. Is the data point, P, an outlier, an influential point, both,Is the data point, P, an outlier, an influential point, both, or neither? The regression equation for a set of paired data is ^y = 6 + 4x. The correlation coefficient for the data is 0.92. A new data point(13,74) is added to the set.outlierneitherinfluential pointBoth What is the basic unit of matter? atommoleculegascompoundI accidently pushed english its biology Determine whether each chemical substance would remain the same color or turn pink in the presence of phenolphthalein. 9. An object of weight 80kg on earth is taken to aplanet where the acceleration due to the gravity is one-third of its value on earth. The weight of the object onthe planet is Which of the seven events do you think had the most devastating effect on the relationship between Great Britain and the British colonies? if b Find the range of f(x) = x + 4 for the domain {3, 2, 1, 1}. learn to accept your mistakes even when you have done your a) hard labour b) bestc) charityd) docility A company uses 40000 pounds of materials for which it paid $2 a pound. The materials price variance was $20000 unfavorable. What is the standard price per pound 1. A system of government in which oneperson reigns supreme, usually a king orqueen, is called(a) autocracy(c) democracy(b) monarchy(d) republic southerns who were for redemption wanted which of the following Answer the following question in 3-4 complete sentences. Define symmetry. What does symmetry provide for artwork? Which statement best describes the meter? The meter is free, imitating the flow of conversational speech. The meter is free, making the poem unpredictable. The meter is fixed, and every syllable is stressed. The meter is fixed, drawing attention to the end rhyme. find the area of the shaded region The equation of line WX is 2x + y = 5. What is the equation of a line perpendicular to line WX in slope-intercept form that contains point (1, 2)? I need help with these 3 questions plzzz. which objects would have a greater gravitational force between them, Objects A and B, or Objects B and C Read and choose the correct verbs in the past tense to complete the sentence. Mientras el amo de llaves ________ el cuarto, la seora ________ su maleta. limpiaba; sac limpiaba; saca limpio; saca limpio; sac What are the correct half reactions for the following reaction: Cu2+ + Mg -> Cu + Mg2+