wyatt has a square garden. he adds 3 feet to one side and 1 foot to the other and now it is a rectangle with an area of 24 ft^2 what are the new dimensions of the garden

Arc length of a given circle with a radius of is π/.

According to the given diagram,

The angle subtended by arc AED or central angle

= 360°-120°-45°-30°

= 165°

The radius of the circle = 3 units

, ?

= Central angle(in radians) * Radius

So, arc length

= 165 *π/180 * 3

Arc length

= 11π/12 * 3 = 11π/4

Therefore, the Arc length of a given circle with a radius of 3 units is π/

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In circle f, segment eb is a diameter that divides the circle into two equal sectors. The length of segment fb is 3 units, so the radius of the circle is 3 units.

To find the area of one of the sectors in circle f, we need to know the radius of the circle. Since a diameter of the circle is segment eb, and the length of segment fb is 3 units, then the radius of the circle is 3 units. To find the area of one sector, we can use the formula A = (1/2)r^2, where r is the radius. In this case, the radius is 3 units, so the area of one sector is A = (1/2)(3^2), or A = 4.5 units^2. To find the area of the whole circle, we can multiply the area of one sector by 2, since there are two equal sectors in the circle. Thus, the area of the whole circle is A = 2(4.5) = 9 units^2.

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To calculate SAM and SOM, you need to follow the following steps:

1. SAM (Simple Arithmetic Mean): SAM is calculated by adding up all the values in a set of data and then dividing that sum by the number of values in the dataset.

Formula: SAM = (x1 + x2 + ... + xn)/n

Where x1, x2, ..., xn are the values in the dataset and n is the number of values in the dataset.

Example: If you have a dataset with the values 2, 4, 6, 8, 10, then the SAM would be (2+4+6+8+10)/5 = 30/5 = 6

2. SOM (Simple Geometric Mean): SOM is calculated by multiplying all the values in a set of data and then taking the nth root of that product, where n is the number of values in the dataset.

Formula: SOM = (x1 * x2 * ... * xn)^(1/n)

Where x1, x2, ..., xn are the values in the dataset and n is the number of values in the dataset.

Example: If you have a dataset with the values 2, 4, 6, 8, 10, then the SOM would be (2*4*6*8*10)^(1/5) = 3840^(1/5) = 5.16

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Answer:

6

Step-by-step explanation:

if we always go from right to left it will start with lin segment BC   BD    BA   CD  CA    and DA those are all the posible segments for this line

For a standard normal distribution, a negative value of z indicates that the observed value is below the mean of the distribution.

In a standard normal distribution, which has a mean of 0 and a standard deviation of 1, a negative value of z indicates that the observed value is located below the mean. The z-score represents the number of standard deviations a data point is away from the mean.

A negative z-score means that the observed value is lower than the mean, indicating that it falls to the left of the center of the distribution. This means that the data point is relatively lower compared to the average and can provide information about its position within the distribution and its deviation from the mean.

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When we will fold all the nets in the given options, Option(a) will make a Rectangular prism.

The net of a 3D shape is what it looks like if it is opened out flat.

Step 1 : In option(a) fold the rectangle on the top left and the rectangle on the bottom right simultaneously along the given dark edges.

Step 2 : From the bottom right side fold one more time about the rectangle and from the top left side fold one more time about the square simultaneously.

Step 3 : From the bottom right side fold about the square and from the top left side fold about the rectangle and you will get a perfect rectangular prism.

Hence by folding , the answer is Option (A)

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Answer:

thank you

Step-by-step explanation:

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Answer:

8 units

Step-by-step explanation:

I can count

Answer:

52x2−2

Step-by-step explanation:

=49x2+−8+4x2+1+5+−x2

Combine Like Terms:

=49x2+−8+4x2+1+5+−x2

=(49x2+4x2+−x2)+(−8+1+5)

=52x2+−2

The exponential function that is equivalent to f(x) = x^5/6 * x^11/6 is g(x) = x^(8/3).

Given, the exponential function f(x) = x^5/6 * x^11/6To find which exponential function is equivalent to the given function, we have to simplify it. Let's simplify the given exponential function: We know that, when we multiply two numbers with same base, then we add their exponents. So, x^5/6 * x^11/6 = x^[(5/6)+(11/6)] x^(16/6) = x^(8/3)Hence, the exponential function that is equivalent to f(x) = x^5/6 * x^11/6 is g(x) = x^(8/3).

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On solving the provided question, we can say that - the entrance cost is $10, Each ticket will cost $2.

A linear equation has the algebraic form y=mx+b, where m denotes the slope and b the y-intercept. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Ax+By=C is the typical form for linear equations with two variables. A linear equation in standard form is, for instance, 2x+3y=5. Finding both intercepts (x and y) for an equation of this type is not too difficult.

Let x be a symbol for the admission costs.

y denote the price of each ticket.

provided equation

\(x + 10y = 30 ... (i)\)

equation of Tristan

\(x + 15y = 40 ...... (ii)\)

equation of Keith

\(x + 10y = 30 .......... (iii)\\x = 10\\y = 2\)

the entrance cost is $10.

Each ticket will cost $2.

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Answer:

11

Step-by-step explanation:

12-5+4=12-1=11

Answer:

1?

Step-by-step explanation:

11/12 closest to

The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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Given:

Total number of tickets = 600

Cost of adult ticket = $6.00

Cost of student ticket = $4.00

Total sales = $2900.00

To find:

The number of tickets of each type.

Solution:

Let the number of adult tickets be x and number of student tickets be y.

According to the question,

\(x+y=600\)        ...(i)

\(6x+4y=2900\)      ...(ii)

Multiply equation (i) by 4 and subtract the result from (ii),

\(6x+4y-4(x+y)=2900-4\times 600\)

\(6x+4y-4x-4y=2900-2400\)

\(2x=500\)

Divide both sides of 2.

\(x=250\)

Put x=250 in (i).

\(250+y=600\)

\(y=600-250\)

\(y=350\)

Therefore, number of adult tickets is 250 and number of student tickets is 350.

Distance changing at rate of 3.94 inches/sec.

Given,

In the question:

The wall is decreasing at a rate of 9 inches per second.

and this distance is currently 61 inches.

The ladder is 152 inches long.

To find out how fast is the distance changing

Now, According to the question:

we know that

h² + b² = L²   …1

h² + b² = 152²

Apply here derivative w.r.t. time

2h dh/dt + 2b db/dt = 0

h dh/dt + b db/dt = 0

db/dt = - h/b × dh/dt     ….2

Height of distance is currently = 61 inches

Substitute the values

h² + b² = L²

61² + b² = 152²

b² = 19383

b = 139.223

and ,we know dh/dt = -9 inch/sec

From equation 2

db/dt = -61/139.223  (-9)

db/dt = 3.94 inches/sec

Hence, Distance changing at rate of 3.94 inches/sec.

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Answer:

See below

Step-by-step explanation:

The question is garbled.  I don't see a graph nor can I interpret the list of numbers.  

g(x) = 2x-1+3 can be simplified to:

g(x) = 2x+2

This line is shown in the attached graph.  It has a slope of 2 and a y-intercept of 2.

The probability of getting at least one green card is 55/64.

Part (a)A tree diagram can help to keep track of the possibilities when drawing two cards with replacement from a deck of eight cards.

In this case, we have two events: G1 = first card is green G2 = second card is green The tree diagram for the given problem is as shown below: 5/8 G 3/8 Y 5/8 G 3/8 Y 5/8 G 3/8 Y G1 G1 Y G1 G2 G2 G2 G2

Part (b) Probability of first card being green P(G1) = 5/8 Probability of second card being green given that the first card was green P(G2|G1) = 5/8

So, P(G1 and G2) = P(G1) x P(G2|G1) = 5/8 x 5/8 = 25/64

Therefore, P(G1 and G2) = 25/64

Part (c)Probability of getting at least one green card means the probability of getting one green card and the probability of getting two green cards.

P(at least one green) = P(G1 and Y2) + P(Y1 and G2) + P(G1 and G2) P(at least one green)

= P(G1) x P(Y2) + P(Y1) x P(G2) + P(G1) x P(G2|G1) P(at least one green)

= (5/8) x (3/8) + (3/8) x (5/8) + (5/8) x (5/8)

= 15/64 + 15/64 + 25/64

= 55/64

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Answer:

77

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

x + y = major axis

11 + 7 =  18

Answer:

B.Q1, Q3, maximum

Step-by-step explanation:

The left side of the box is hovering over 65

The left side of the box represents quartile 1

The right side of the box is hovering over 85

The right side of the box represents quartile 3

The whisker at the end of the right side is hovering over 100

The whisker at the very end of the right represents the maximum

Hence, we can conclude that the answer is Q1 Q3 maximum

Answer: x = 5

Step-by-step explanation: it is 392079∞¢•¶¶§∞¶∞§¶6

lol that's cool because i didn't know either

The linear modular system {x = 5 (mod 9), x = 1 (mod 11)} can be solved using the Chinese Remainder Theorem. The solution is x ≡ 46 (mod 99).

According to the Chinese Remainder Theorem, we need to find a number x that satisfies both congruences: x ≡ 5 (mod 9) and x ≡ 1 (mod 11).

First, we observe that gcd(9, 11) = 1, indicating that the moduli are relatively prime. To find the solution, we can use the method given in the proof of the Chinese Remainder Theorem.

Let's solve the congruence x ≡ 5 (mod 9) first. We can express 5 as a multiple of 9 plus a remainder: 5 = 0 * 9 + 5. This implies that x = 9k + 5 for some integer k.

Substituting x into the second congruence, we get 9k + 5 ≡ 1 (mod 11). Simplifying this equation, we have 9k ≡ 8 (mod 11). To find the value of k, we can use the extended Euclidean algorithm or by inspection determine that k ≡ 7 (mod 11).

Now, substituting k = 7 into x = 9k + 5, we find x = 9 * 7 + 5 = 68.

To find the general solution, we need to add the modulus of the two congruences, which gives us 9 * 11 = 99. Therefore, the final solution is x ≡ 68 (mod 99).

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Ella is she, and mi is I.

In the given statement, "Ella" is referred to as "she," and "mi" is a Spanish pronoun that translates to "I" in English. The statement suggests that Ella is being described or mentioned by someone else, using the pronoun "she" to refer to her.

On the other hand, "mi" is a personal pronoun used by the speaker to refer to themselves, indicating that the speaker is talking about their own perspective or experiences.

By identifying the referents of "she" and "I" in the statement, we can understand the roles and perspectives of the individuals involved in the conversation.

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Answer:

B. The surface area

Step-by-step explanation:

\( {a}^{2} + {b}^{2} = {c}^{2} \\ ({ \sqrt{47} })^{2} + {b}^{2} = ({10)}^{2} \\ 47 + {b}^{2} = 100 \\ {b}^{2} = 100 - 47 \\ {b}^{2} = 53 \\ b = \sqrt{53} \)

_o_o_

cos k = adjacent / hypotenuse

\( \cos(k) = \frac{ \sqrt{53} }{10} \)

I hope I helped you^_^

Answer:

C = 12 pi

Step-by-step explanation:

The radius is 6

The circumference is given by

C = 2 * pi *r

C = 2 * pi *6

C = 12 pi

Answer:

12π

Step-by-step explanation:

the circumference of the circle can be found using the formula: 2πr.

RW is the radius, and we know that RW=6, so we can plug this into the formula:

C=2πr

C=2π(6)

C=12π

so, the circumference of the circle is 12π.

Answer:

1) w=

2) w= -8/9

3) y= -12

Step-by-step explanation:

Can you rewrite the 1st problem or take a picture of it? I don't understand how I would write that haha. You’re welcome :)

Answer: Greater than 10.