Find the area of the shaded figure

Answer:x is two

Step-by-step explanation:

The shortest length of fence that the rancher can use is 6000 ft.

What is meant by length?

The measuring of one thing from finish to finish or on its longest aspect, or a measuring of a selected a part of one thing is known as length.

Main Body:

x = width of rectangle

y = length of rectangle

A = area of rectangle = xy = 1500000 ft^2

L = length of fencing needed = 2(x + y) + x = 3x + 2y

L = 3x + 2(1500000/x) = 3x + 3(10^6)x^(-1)

As x –> 0+, L –> +inf.

As x –> +inf, L –> (3x)+.

Sketch and see that there will be a minimum in Quadrant I.

dL/dx = 3 - 3(10^6)x^(-2)

Extrema occur when dL/dx = 0:

3 - 3(10^6)x^(-2) = 0

(10^6)x^(-2) = 1

x^2 = 10^6

x > 0, so x = 1000 feet for shortest length.

Hence,Shortest L = 3000 + 3(10^6)(10^3)^(-1) = 6000 feet.

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Answer:

Step-by-step explanation:

A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero.

For this case 4/11 are

0.36 36 36 36 36 36 36 36 36

it repeating 36  36

so 4/11 are repeating decimal

Answer:

\( \frac{4}{11} = 0.3636\)

Step-by-step explanation:

The remainders repeat in a pattern and the quotient also repeats in blocks of two. So, 4/11 = 0.3636, Which

36 repeats, In this case, 36 is the repeating pattern.

Step-by-step explanation:

a)i) perimeter= side+side+side+side

perimeter=8.7+8.7+5.4+5.4=28.2cm

ii) area=h×b

area=8.7×5.4=46.98cm²

b)i) perimeter=20.35+20.35+17.84+17.84

perimeter=76.38cm

ii)area=20.35×17.84

area=363.044cm²

c) area of rectangular field=937.125m²

Length=36.75m

i)Breadth=937.125÷36.75=25.5m

ii)perimeter=36.75+36.75+25.5+25.5

perimeter=124.5m

Answer:

V≈1767.15in³

Step-by-step explanation:

V=4

3πr3

d=2r

Solving forV

V=1

6πd3=1

6·π·153≈1767.14587in³

Answer:

El primer número es 10.

z = 45.

La edad de Jaime es de 3 años.

Step-by-step explanation:

Estos problemas los podemos resolver planteando las ecuaciones:

El triple del número (3X) + 9 veces el mismo número (9X) = 120

3X + 9X = 120

12X = 120

X = 120 / 12

X = 10

La quinta parte de z es z/5 la quinta parte de su tercera parte es (z/5)/3 = 3

z/15 = 3

6Jaime + 18 = 36

6Jaime = 18

Jaime = 3

See attachment for math work and answer.

Using the area of a sector formula, we get the area to be:

\(\pi (10)^{2} \left(\frac{45}{360} \right)=\boxed{12.5\pi \text{ cm}^{2}}\)

Answer:

(7x-y)(7x+y)

Step-by-step explanation:

Answer:

(7x-y)×(7x+y)

Step-by-step explanation:

49x²-y²

7²x²-y²

(7x²)-y²

(7x-y)×(7x+y)

To find the amplitude, period, and frequency of a trigonometric function, you need to examine its equation. Trigonometric functions are typically written in the form:

f(x) = A * sin(Bx + C) + D

where:

• A represents the amplitude,

• B determines the frequency and period,

• C is a phase shift (if any), and

• D is a vertical shift (if any).

Here's how you can find each parameter:

1. Amplitude (A):

The amplitude represents the maximum displacement from the average or mean value of the function. It is the coefficient that multiplies the trigonometric function. In the equation f(x) = A * sin(Bx + C) + D, the amplitude is A.

2. Frequency (f) and Period (T):

The frequency and period are closely related. The period (T) is the length of one complete cycle of the function, while the frequency (f) is the number of cycles per unit of time. The frequency is the reciprocal of the period, so f = 1 / T.

To find the period, you need to look at the coefficient B. If the function is of the form sin(Bx), then the period is given by T = 2π / B. If the function is cos(Bx), the period remains the same.

3. Frequency (f):

Once you have the period (T), you can find the frequency (f) using f = 1 / T.

By examining the equation of the trigonometric function and following the steps above, you can determine the amplitude, period, and frequency of the function.

To find the amplitude, period, and frequency of a trigonometric function, you need to examine the equation representing the function. Here is a explanation.

Amplitude: The amplitude represents the maximum displacement or height of the function from its average or mean value. It is usually denoted as "A" in the trigonometric function equation. To find the amplitude, identify the coefficient multiplying the trigonometric function. If there is no coefficient, the amplitude is assumed to be 1.

Period: The period is the length of one complete cycle of the trigonometric function. It represents the distance between two consecutive peaks or troughs of the function. To find the period, identify the value inside the trigonometric function's argument (the value inside the parentheses) that determines the period. If there is no value, the period is assumed to be 2π.

Frequency: The frequency represents the number of cycles of the trigonometric function that occur per unit interval. It is the reciprocal of the period and is usually denoted as "f." The frequency can be calculated by taking the reciprocal of the period: f = 1/period. By analyzing the equation, you can determine the amplitude, period, and frequency of the trigonometric function, which provide essential information about its behavior and characteristics.

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The population density of Philadelphia is approximately 11,761.76 people per square mile, while the population density of Pottstown is approximately 4,672.16 people per square mile.

To compare the densities of Philadelphia and Pottstown, we need to calculate the population density for each city. Population density is typically measured as the number of individuals per unit area.

For Philadelphia:

Population = 1,579,000

Land area = 134.28 sq miles

Population density = Population / Land area

Population density = 1,579,000 / 134.28

Population density \(^\sim_\sim\) 11,761.76 people per square mile

For Pottstown:

Population = 22,670

Land area = 4.85 sq miles

Population density = Population / Land area

Population density = 22,670 / 4.85

Population density \(^\sim_\sim\) 4,672.16 people per square mile

Therefore, the population density of Philadelphia is approximately 11,761.76 people per square mile, while the population density of Pottstown is approximately 4,672.16 people per square mile.

Comparing the two, we can see that Philadelphia has a higher population density compared to Pottstown.

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Step-by-step explanation:

what do u need help solve

Answer:

There are 50 on the football team

Haha Gogy profile pic nice

original price is $240

Answer:

$240

Step-by-step explanation:

.75*x=180

This equation is setup so we can find the value of the original price, since 25% is deducted, you can multiply x by 75% and set it equal to 180 since that is the resulting discounted price.

Answer:

D

Step-by-step explanation:

The area of a circle can be find with this formula:

radius^2 π

in this case we have the diameter, so we have to divide it  by two

radius = 16 : 2 = 8 ft

area = 8^2 π

The correct option is the first one, the domain is the set of all real numbers.

Here we know that we have a linear equation, it passes throuhg (0, -2), then the line is:

y = a*x - 2

We also know that it passes through (4, -1), replacing these values we will get:

-1 = a*4 - 2

-1 = 4a - 2

-1 + 2 =4a

1/4 = a

the equation is:

y = (1/4)x - 2

This is just a linear equation, so the domain is the set of all real numbers (like for all linear equations).

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..................false

The experimental probability of the name Grace being​ chosen = 11/108

The theoretical probability of the name Grace being​ chosen = 1/6

We know that formula for the experimental probability of event A is :

P(A) = (Number of occurance of event A) / (Total number of trials)

Here, a name is chosen 108 times and the name Grace is chosen 11 times.

Let event A: the name Grace being​ chosen

the number of occurance of event A = 11

And the Total number of trials = 108

Using above formula the experimental probability would be,

P(A) = 11/108

Here, six different names were put into a hat.

This means that the number of possible outcomes n(S) = 6

And n(A) = 1

So, the theoretical probability would be,

P = n(A)/n(S)

P = 1/6

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Answer:

Yes, this definition is valid. A regular polygon is a polygon where all sides are equal in length and all angles between the sides are also equal. Therefore, stating that a regular polygon has all sides of the same length is an accurate description of the defining characteristic of such a shape.

Answer:

5.5 = AB

Step-by-step explanation:

take 62 degree as reference angle

using cos rule

cos 62 = adjacent / hypotenuse

0.46 = AB / 12

0.46*12 = AB

5.52 = AB

5.5 = AB

The length of side AB in the given right angle triangle of hypotenuse  12 cm is  5.7 cm.

A triangle with one angle at \(90^o\) is called right angle triangle.

Given that:

Hypotenuse = 12 cm

\(\theta = 62^o\)

The length of side AB in the given right angle triangle is calculated as:

Using trigonometric function,

\(\cos\theta = \dfrac{base}{hypotenuse}\)

Let, the value of base be x

Substitute the values in the given formula:

\(\cos 62^o = \dfrac{x}{12}\)

Using the trigonometric table, the value of \(\cos 62^o\) is 0.4694

\(0.4694 \times 12\)= x

x= 5.6328

x = 5.7

Thus, the length of side AB to 1 decimal place is 5.7 cm

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Answer:

true

Step-by-step explanation:

the lines of the new shape are parallel to the lines of the original shape, there seems to be the same scaling factor for all sides and all "projection" lines BB' and CC' cross at A, which is also A' Ave the center of the dilation.

The equation of the line in slope-intercept form representing the amount of money in Marus's account over time is y = mx + b.

In the slope-intercept form of a linear equation, y represents the dependent variable (in this case, the amount of money in Marus's account), x represents the independent variable (time), m represents the slope of the line, and b represents the y-intercept (the value of y when x = 0).

To determine the equation of the line, we need to know the slope and y-intercept values. The slope, m, represents the rate of change of Marus's account balance over time. If we have two points on the line, we can calculate the slope using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Once we have the slope, we can substitute it along with the coordinates of any point on the line into the slope-intercept form equation y = mx + b to solve for the y-intercept, b. The y-intercept is the value of y when x = 0, meaning it represents the initial amount of money in Marus's account.

By determining the values of m and b, we can write the equation of the line in slope-intercept form and have a mathematical representation of how the amount of money in Marus's account changes over time.

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The secant of the angle in this problem is given as follows:

sec(θ) = 2.4625.

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

Considering the terminal side at (4,9), the hypotenuse is given as follows:

h² = 4² + 9²

h = sqrt(97)

h = 9.85.

Then the cosine of the angle is given as follows:

cos(θ) = 4/9.85

The secant of the angle is the inverse of the cosine, hence it is given as follows:

sec(θ) = 9.85/4

sec(θ) = 2.4625.

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The distance between two points is D and E, E and F, C and D, A and B, B and C, when the points are arranged in increasing order.

Discover the distance formula, a Pythagorean theorem application, to determine the separation between two places. To get the separation between any two points, we can rewrite the Pythagorean theorem as \(d= \sqrt{x_{2} -x_{1} + y_{2} -y_{1} }\)

In geometry, distances are always positive unless the points are exactly adjacent. The distance between A and B is equal to the distance between B and A. We consider two points A(a,b) and B to get the formula for the distance between two points in the plane (c,d).

\(d= \sqrt{x_{2} -x_{1} + y_{2} -y_{1} }\)

The distance is provided in the following equation as

A and B are \(\sqrt{39}\) miles apart.

B and C are \(\sqrt{41}\) miles apart.

C and D are five miles apart.

D and E are four miles apart.

E and F are \(\sqrt{17}\) miles apart.

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Answer:

Step-by-step explanation:

you have to count the distance between each point then list them from smallest to greatest. The other answers on here made it more convoluted than necessary.

When testing the null hypothesis with an alpha value of 0.05, the critical value will be larger than if you were testing with an alpha value of 0.01.

If you are testing the null hypothesis with an alpha value of 0.05, the critical value will be smaller than if you were testing the alpha value of 0.01. This is because a smaller alpha value means a more stringent test of significance, which requires stronger evidence to reject the null hypothesis.

Therefore, the critical value is larger for a smaller alpha value to reflect the higher level of evidence required for rejection. Conversely, a larger alpha value allows for a less stringent test of significance, requiring weaker evidence to reject the null hypothesis, which results in a smaller critical value.

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