A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 76m wide. Find the area of the training field. Use the value 3.14 for pie , and do not round your answer. Be sure to include the correct unit in your answer.

Answer:

it is triangle DEF, base on my own understanding

If the dimension of the rectangular prism will be (4, 8, 16), (2, 8, 32), and (2, 4, 64). Then the surface area will be 448, 672, and 784 square units respectively.

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

You work for a cereal company that is looking to design some new boxes for their cereal.

The cereal is sold in the size of 512 cubic units.

You will be designing three rectangular prisms with unique dimensions.

The possible dimension of the rectangular prism will be

Volume = 512

Volume = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Then we have

{(4, 8, 16), (2, 8, 32), (2, 4, 64)}

Then the surface area will be

If the dimension is (4, 8, 16). Then the surface area will be

Surface area = 2(4x8 + 8x16 + 16x4)

Surface area = 448 square units

If the dimension is (2, 8, 32). Then the surface area will be

Surface area = 2(2x8 + 8x32 + 32x2)

Surface area = 672 square units

If the dimension is (2, 4, 64). Then the surface area will be

Surface area = 2(2x4 + 4x64 + 64x2)

Surface area = 784 square units

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Answer:

A. How are GH and GI related?

B. Write an equation to solve for x.

C. Let's solve the equation...

GH : 2x

GI : x + 12

D. Now, that we solve for x, let's find the length of GH....

GH = 2x where, x = 12

Therefore, the length of GH is 24.

Answer:

Step-by-step explanation:

Answer:

Answer:

A =24.7° ; B = 40.6° ; C =114.7°

Step-by-step explanation:

Cosine Law

a² = b²+c²-2bc cos A

b² = c²+a² -2ca cos B

Sum of three angles of a triangle is 180°.

a = 34 ; b= 53; c = 74

Substituting the given values in the cosine law, we have

34² = 53² + 74² - 2*53 *74 * cos A

7844 cos A = 2809 + 5476 - 1156 = 7129

cos A = 7129/7844 = 0.9088

A = cos⁻¹ (0.9088) = 24.6600° = 24.7°

53² = 74² + 34² - 2 (74)(34) cos B

5032 cos B = 5476 + 1156 - 2809 = 3823

cos B = 3823/5032 = 0.7597

B = cos⁻¹ (0.7597) = 40.5622° = 40.6°

Also, A + B + C = 180°

24.7 + 40.6 + C =180

C =180 -  65.3 = 114.7°

∴ A =24.7° ; B = 40.6° ; C =114.7°

Step-by-step explanation:

Im not sure if it is right. But hope it helps

Answer:

175000

Step-by-step explanation:

If the 1 is centimeters, then you would take 7 centimeters and multiply it by 25000 to get 175000.

Answer:

[tex]\sf y=\dfrac{54}{6.75}[/tex]  or  [tex]\sf y=54 \div 6.75[/tex]

(where y is the number of bags made)

Step-by-step explanation:

If Rowan bought a 54 oz bag of jelly beans and divided them into bags that each contained 6.75 oz, to find how many bags were made, divide the total weight of jelly beans by the weight of each bag.

⇒ Number of bags = Total weight ÷ bag weight

                                = 54 ÷ 6.75

                                = 8

Therefore, Rowen made 8 bags.                    

Total weight of jelly beans initially

Each bag contains

So the equation should be

Or

If we solve we get total bags as 8

Answer:

Total surface area=

304+9pi

~= 332.3

Step-by-step explanation:

Surface area is the areas of all the parts/sides/surfaces of the shape all added together.

There is a BOTTOM, 4 SIDES, a flat TOP, and a DOME shape.

The BOTTOM and SIDES are rectangles, so you can get the areas by multiplying length × width (or b•h)

BOTTOM: 8×10 =80

SIDES: There are 4×8 sides. 4×8 = 32. There are two of them 2×32=64.

There are 4×10 sides. 4×10 = 40. There are two of them, 2×40 = 80

For the flat TOP, it is also 8×10=80, but it has a circle cut out of it. Or, well, the circle that's under the dome doesn't count bc of the dome. So we'll take it away.

CIRCLE (under the dome):

Area of a circle is A=pi•r^2= pi•3^2

A = 9pi

So the flat TOP is:

80 - 9pi ~= 51.7

The DOME is a hemisphere (a half ball shape). Surface Area of a sphere is 4pi•r^2 We find that, then take half.

DOME =

4pi•3^2•(1/2)

= 4pi•9•(1/2)

= 18pi

~= 56.5

Now add up all the pieces:

80+64+80+80-9pi+18pi

= 304+9pi

~= 304 +28.3

= 332.3

Answer:

x = 3.255 cm

Step-by-step explanation:

Given:

⇒ y = 10cm

⇒ θ = 19

To find:

⇒ Value of "n"

Solution

⇒ By Pythagoras theorem

⇒ Δ Sin θ = n/y

⇒ sin 19° = n/10

⇒ 0.3255 = n/10

⇒ n = 0.3255 × 10

⇒ n = 3.255 cm

Hence, the answer is = n = 3.255 cm.

Based on the percentage of the time that the Porches and the Ferraris work, the probability that at least half of both work on a given day is 0.8172.

The Porches work 80% of the time and the Ferraris work 60% of the time.

Using the binomial distribution, the probability that half the Porches work is:

= (⁴ₓ) (0.80)ˣ (1 - 80)⁽⁴ ⁻ ˣ⁾

= 0.9728

The probability that half the Ferraris work is:

= (²ₓ) (0.60)ˣ (1 - 60)⁽² ⁻ ˣ⁾

= 0.84

The probability that only half of both will work is:

= 0.9728 x 0.84

= 0.8172

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Answer:

C

Step-by-step explanation:

  x = 7 cos (2pi/3)            y =  7 sin (2pi/3)

  x = -7/2                          y = 7 sqrt(3) /2

Let p = the original price

p - .4p = 12

.96p = 12

p = 12.5

The original price was $12.50

12.5 - 12 = .5

The amount of the discount was $.50

Answer:

the answer I believe will be 25.16

last option is the answer to the question

Answer:

the answer is 9, the total number of dots is 18. which divided into three is 6 in a column.

and the 1/2 of this in the group Is 9

Answer:

pi

Step-by-step explanation:

First solve the integral

[tex]\int\ {(1+ cos x} )\, dx[/tex]

[tex]\int\ {1} \, dx +\int\ {cos x} \, dx[/tex]

[tex]\int\ {1} \, dx = x[/tex] and [tex]\int\ {cos x} \, dx = sin x[/tex]

x + sin x

Now consider the limit from 0 to π

[tex]\lim_{0 \to \\pi } (x+sin x)[/tex]

(π +sin π) -(0 +sin 0)

sin π = 0 and sin 0 = 0

π-0

π

Answer:

[tex]\displaystyle \int\limits^\pi_0 {(1+\cos x)} \, dx=\pi[/tex]

Step-by-step explanation:

[tex]\displaystyle \int\limits^\pi_0 {(1+\cos x)} \, dx\\\\=x+\sin x\biggr|^{\pi}_0\\\\=[\pi+\sin\pi]-[0+\sin0]\\\\=\pi[/tex]

Remember your antiderivatives!

Answer:

41,257

Step-by-step explanation:

100,000

-

58,743

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

41,257

The amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The annual fundraising goal of a college is $100,000.

Let x be the amount that is needed to reach the goal.

The linear equation in one variable can be framed as follows:

x + 58,743 = 100,000

x = 100,000 - 58,743

x = $41257

Thus, the amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.

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Quarts they pick altogether 173/24 quarts.

A unit of volume or capacity in the US Customary System, used in liquid measure, equal to 2 pints or 32 ounces (0.946 liter).

Jennifer picked= 1 5/6= 11/6 quarts

Lila picked= 7/4 quarts

Elliott picked =3/2 quarts

Wendie picked= 17/8 quarts

Total quarts they picked together is= 11/6+7/4+3/2+17/8

                                                           = 44+42+36+51/24

                                                           = 173/24 quarts

Hence, they picked 173/24 quarts together.

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The fractional expression 18/48 is greater than 14/48 or 6/16 is greater than 7/24. Then the correct option is A.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The expressions are 6/16 and 7/24.

Then the LCM of the 16 and 24 will be 48.

Then the expressions will be 18/48 and 14/48.

The fractional expression 18/48 is greater than 14/48 or 6/16 is greater than 7/24.

Thus, the correct option is A.

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Answer:

Step-by-step explanation:

Question 1:

Franco made 36 invitations and gave out 14. How many invitations does he have left?

Simple. Solve for the bottom:

That is the answer D.

Question 2:

Ebba gave out 36 invitations and still has 14 left. How many invitations does she have in all?

Complicated (a bit). Solve:

That is the answer C.

Based on the fact that Marcus has deposited his paycheck in the amount of $625.84, his new balance will be $1,266.15.

A pay check is known to be a cheque that is given to a person for a job done.

Note that Marcus Beginning balance: $640.31

He then Deposit of : $625.84

When you add both together,

His New Balance will be: $1,266.15

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Answer:

$1,266.15.

Step-by-step explanation:

edge

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

weight of bag = 90 grams

According to Question ,

weight of the bag increases by 15%

therefore ,

the new weight of bag ,

[tex] \frac{\cancel{15}}{\cancel{10}\cancel0} \times 9\cancel0 \\ \\ \dashrightarrow \: \frac{3}{2} \times 9 \\ \\ \dashrightarrow \: \frac{27}{2} \\ \\ \dashrightarrow \: 13.5[/tex]

so ,

new weight = 90 + 13.5 kg

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎= 103.5 kg

hope helpful ~

Answer:

0.625

Step-by-step explanation:

You must first calculcate what is in between the parentheses. Firstly, you add 3/8 + 3/4 (as shown in the beginning) to get 1.125. Second, you add 1/3 plus 1/6 (shown in the second part of the equation) to get 0.5. Lastly, you're left with 0.625 after subtracting 0.5 from 1.125.

Ruth can visit US Bureau of Labor Statistics website so that she could know more about those careers.

career can be regarded as a profession that individuals choose to follow in his lifetime and this his occupation.

Therefore, in choosing a career , one needs to equip himself with information about it, he can visit Bureau of Labor Statistics.

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Answer:

visit the US. Bureau of Labor Statistics website to find information on both careers and the career section

Step-by-step explanation: well i know it right because i just answered it correct

Answer:

arc BX = central angle BCX

inscribed BNX = 1/2 of central angle BCX

inscribed BNX = 1/2 of arc BX

Step-by-step explanation:

arc BX = central angle BCX

inscribed BNX = 1/2 of central angle BCX

inscribed BNX = 1/2 of arc BX

The experimental probability that a coin toss results in two heads showing is 3/14

The sample space of two coins is:

S = {HH, HT, TH, TT}

In the above sample space, we have:

The theoretical probability of two heads is calculated as:

P = n(HH)/Total

This gives

P = 1/4

Hence, the theoretical probability of two heads is 1/4

To do this, we make use of the table in the question

The table is given as:

Result                                  Frequency

Two heads (HH)                     30

Two tails  (TT)                        40

One head, one tail (HT)        70

Total                                     140

The experimental probability of two heads is calculated as:

P = n(HH)/Total

This gives

P = 30/140

Simplify

P = 3/14

Hence, the experimental probability of two heads is 3/14

Using the sample space in (a), we have:

The theoretical probability of two tails is calculated as:

P = n(TT)/Total

This gives

P = 1/4

Hence, the theoretical probability of two tails is 1/4

From the table in the question, we have:

Two tails  (TT)  =40

Total = 140

The experimental probability of two tails is calculated as:

P = n(TT)/Total

This gives

P = 40/140

Simplify

P = 2/7

Hence, the experimental probability of two tails is 2/7

Using the sample space in (a), we have:

The theoretical probability of one head and one tail is calculated as:

P = n(HT)/Total

This gives

P = 2/4

Simplify

P = 1/2

Hence, the theoretical probability of one head and one tail is 1/2

From the table in the question, we have:

One head one tail  (HT)  = 70

Total = 140

The experimental probability of one head one tail is calculated as:

P = n(HT)/Total

This gives

P = 70/140

Simplify

P = 1/2

Hence, the experimental probability of one head one tail is 1/2

The reason for the difference between the probability types is because one is as a result of an actual experiment, while the other is an estimate of the experiment.

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The LCD of the rational equation [tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{x^2 -3x + 2}[/tex] is (x + 2) (x -1)(x - 2)

The rational equation is given as:

[tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{x^2 -3x + 2}[/tex]

Factorize the quadratic denominator

[tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{(x -1)(x - 2)}[/tex]

Write out the denominators

(x + 2), (x - 1) and (x -1)(x - 2)

Remove the repetition

(x + 2) (x -1)(x - 2)

Hence, the LCD of the rational equation is (x + 2) (x -1)(x - 2)

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Step-by-step explanation:

all parallelograms have opposite sides that are parallel.

that is the only true statement.

The number of students that are on the track team are 18.

The number of students that are on the baseball team are 15.

a + b = 33 equation 1

a - b = 3 equation 2

Where:

Subtract equation 2 from equation 1

2b = 30

Divide both sides by 2

b = 30/2 = 15

Subtract 15 from 33: 33 - 15 = 18

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The variance of the data set is 0.43.

The variance is used to measure the spread or the dispersion of a dataset using all the data points in the dataset. The variance is the sum of the squared difference between the data point and the mean.

The first step is to determine the mean: (0.40 + 0.72 +  1.15 + 2.14) / 4

= 4.41 / 4= 1.10

The second step is to subtract the mean from each of the data point and square the difference:

Add the sum of the squared differences and divide by 4 : 1.7125/4 = 0.43

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