A rancher has 200 feet of fencing to enclose two adjacent corrals

a.what dimensions should be used so that the enclosed area will be maximum b)what is the maximum area?

Answer:

2

Step-by-step explanation:

The maximum value is the amplitude. Looking at graph, it would be the highest point in the graph.

Each unit of the graph is 2 units, hence the maximum value, clearly looking at the graph, would be y = 2. Also the minimum value is y = -2.

So, the maximum value is 2

Answer:

B

Step-by-step explanation:

Triangle ABD and triangle ACE are similar.  So we can write a proportion:

AB / BD = AC / CE

5 / 4 = 12 / CE

CE = 9.6

The measure of side CE will be 9.6. Then the correct option is B.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The triangle ΔABD and triangle ΔACE are similar. Then we have

AB / AC = BD / CE

   5 / 12 = 4 / CE

       CE = 9.6

Then the measure of side CE will be 9.6.

Then the correct option is B.

More about the triangle link is given below.

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Answer: 4,111.7 mm³

Step-by-step explanation:

You need to use this formula to calculate the volume of the square pyramid:

[tex]V=\frac{s^2h}{3}[/tex]

Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.

Find the height with the Pythagorean Theorem:

[tex]a^2=b^2+c^2[/tex]

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.

You can identify in the figure that:

[tex]a=26mm\\\\b=\frac{23mm}{2}=11.5mm\\\\c=h[/tex]

Then, you can find the height:

[tex](26mm)^2=(11.5mm)^2+h^2\\\\h=\sqrt{(26mm)^2-(11.5mm)^2}\\\\h=23.318mm[/tex]

Then, knowing that:

[tex]s=23mm\\h=23.318mm[/tex]

You can calculate the volume:

 [tex]V=\frac{(23mm)^2(23.318mm)}{3}=4,111.7mm^3[/tex]

Answer:

Option b.

y = 4 sin (3x)

Step-by-step explanation:

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.

Please see the attached image below, to find more information about the graph

The period is  

T = 2π/3

This means the frequency in radians is

W = 2π/T = 3

The equation is either:

y = 4 cos(3x)

y = 4 sin (3x)

The correct answer is

Option b.

y = 4 sin (3x)

Answer:

10

Step-by-step explanation:

because tossed 10 times so it would be 1 out of 10

Answer:

The answer is B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The solution to f(x) = g(x) occurs where the two graphs cross.  That's at the point (-2, -1).

Answer A.

To find where f(x) = g(x), set the two functions equal to each other and solve for 'x'. After some mathematical simplification and operations on both sides of the equation, we find that the solution is x = -1/9.

In mathematics, to find the solution for f(x) = g(x), you need to set the two equations equal to each other and solve for x. Here, we have f(x) = 2x and g(x) = 1/-3-x. Setting these two equations equal gives 2x = 1/-3-x.

To solve this equation, first, let's simplify the right hand side by multiplying both sides by -1 to make it easier to solve. Now the equation is -2x = 1/3+x.

Subtracting 'x' from both sides of the equation gives -3x = 1/3. Divide by -3 to solve for x so, x = -1/9. So, the solution for the equation f(x) = g(x) is x = -1/9.

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Answer:

41.776756 miles

Step-by-step explanation:

Using trigonometry and the Law of Cosines, we find that the distance between city A and city B is approximately 122.47 miles.

The question involves using trigonometry to solve for distances between points in a coordinate system, which represents cities in this context. To determine how far city A is from city B given that city C is 35° west of north from city B and specific distances from cities A and B, we can set up a right-angled triangle between the cities.

First, we calculate the angle formed at city B using the information provided about city C's angle. Since city C is 35° west of north and city A is due east of city B, the angle between cities A, B, and C is 180° - 35° = 145°.

We now have a triangle with cities A, B, and C forming the vertices and the following information: side BC (70 miles), side CA (100 miles), and angle BAC (145°). We can solve for the distance between city A and B using the Law of Cosines:

c² = a² + b² - 2ab×cos(C), where c is the side opposite the angle C and a and b are the other two sides.

The distance between cities A and B (side c) is therefore calculated as:

c = √(70² + 100² - 2×70×100×cos(145°))

After calculation, we find that the distance between city A and city B is approximately 122.47 miles.

so you first at the two numbers then you at the number to go out with a second then you keep doing that until you get into you don't have no more to answer so thank you

Since the diameter and height of both shapes are the same, we know that the equation to solve for the semi circle is:

πr = 3.1*8 = 24.8

16 + 20 = 36

36 + 24.8 = 60.8

The perimeter of the shape is 60.8 ft

Answer:

x = 72 degrees

Step-by-step explanation:

If triangle LMN = triangle QPR, that means:

- angle L (x) equals angle Q

- angle M equals angle P

- angle N equals angle R

We know angle Q equals 72 degrees and we know angle Q equals angle L. Since angle L is the "x" we are looking for, we know that x = 72 degrees.

You would multiply 50x16 being 16 ounces= 1 pound and than divide that by 10

Answer:

1800 meters

Step-by-step explanation:

The function is for every minute represented by X 150 meters is completed...or

x(150m)

To find 12 minutes you replace the x with 12

12(150m)=1800 meters

The function that represents how many meters Jackie can run is: 'y = 150*x + 500'. After 12 minutes, Jackie can run 2300 meters.

The problem is basically describing a linear relationship between the minutes Jackie trains and the total distance she covers. The function can be represented by the equation: y = mx + c. In this context, 'y' represents the total distance run, 'm' represents the speed (150 meters/minute), 'x' represents time (minutes), and 'c' is the initial distance covered (500 meters).

So the function will be: y = 150*x + 500.

To find out how much Jackie run after 12 minutes, substitute 12 for 'x' in the equation: y = 150*12 + 500. After doing the calculations, we see that Jackie can run 2300 meters in 12 minutes.

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Answer:

B. 9.76 u²

Step-by-step explanation:

First calculate the area of the 60° wedge of the circle by calculating the area of the full circle and multiplying it by a fraction of 60°/360°:

[tex]A_{ABC}=\frac{60}{360}*\pi *r^{2}\\A_{ABC}=\frac{60}{360}*\pi *(6\sqrt{3})^{2}\\A_{ABC}=56.54[/tex]

Now calculate the the area of the white triangle in the wedge, by using a base length of [tex]3\sqrt{2}[/tex], and height:

[tex]h=\sqrt{(6\sqrt{3})^{2}-(3\sqrt{3})^{2}} \\h=9[/tex]

[tex]A_{TRI}=\frac{1}{2}*9*6\sqrt{3} \\A_{TRI}=27\sqrt{3} \\A_{TRI}=46.78[/tex]

Find the area of the red segment:

[tex]A_{ABC} -A_{TRI}\\=56.54-46.78\\=9.76[/tex]

Answer: 25 boxes of pasta

Step-by-step explanation:

$13 / 5 = $2.60

$65 / $2.60 = 25

The intersection of a cone and a plane parallel to its base is a circle. This is due to the concept of 'conic sections' that determine the shape based on the angle and position of the plane's intersection with the cone.

The cross section formed by the intersection of a cone and a plane parallel to the base of the cone is a circle. This shape is one of the conic sections, which also include the ellipse, parabola, and hyperbola. These shapes are formed depending on the angle and position at which a plane intersects with a cone.

A circle is formed when the cutting plane is parallel to the base of the cone. If the plane was at an angle, other shapes like an ellipse, parabola or hyperbola would be obtained. The word 'conic sections' comes from this geometric principle of intersecting a cone with a plane.

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Answer:

[tex]\boxed{m\angle A = m\angle D}\\[/tex]

Step-by-step explanation:

When you use a congruence statement, you must line up the corresponding parts of the triangles.

BC = DE is wrong, because BC = EF.

[tex]\boxed{m \angle A = m \angle D}[/tex] is correct.

m∠B = m∠F is wrong, because m∠B = m∠E.

AC = EF is wrong, because AC = DF

Triangle ABC is congruent to triangle DEF.m∠A=m∠D must be true about the triangles. Option B is correct.

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

Triangle DEF and triangle ABC are congruent. The following assertion concerning triangles must be true:

m∠A=m∠D

Hence, statement B is correct.

To learn more about the triangle, refer to:

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Answer:

I am very disappointed in you. I give you extra credit to try and help your grade and you cheat? Please come and see me tomorrow about what you are doing.

Step-by-step explanation:

Answer:

211 meters

Step-by-step explanation:

Let A represents the Admiral, B represents the Barstow and C represents the Cauldrew.

According to the question,

AB = 402,

∠B = 70°,

∠A = 31°,

∵ ∠B + ∠A + ∠C = 180° ⇒ 70° + 31° + ∠C = 180° ⇒ ∠C = 180° - 101° = 79°

By the law of sine,

[tex]\frac{sin C}{AB}=\frac{sin A}{ BC}[/tex]

By substituting the values,

[tex]\frac{sin 79^{\circ}}{402}=\frac{sin 31^{\circ}}{BC}[/tex]

By cross multiplication,

[tex]BC\times sin 79^{\circ} = 402\times sin 31^{\circ}[/tex]

[tex]\implies BC = \frac{ 402\times sin 31^{\circ}}{sin 79^{\circ}}=210.92050995\approx 211[/tex]

Hence, the distance between the Barstow and the Cauldrew is 211 meters ( approx )

Second option is correct.

i believe the answer is a

Answer:

answer : D

Step-by-step explanation:

Answer:

136.015 yd

Step-by-step explanation:

Length of diagonal is:

√( (80 yd)² + (110 yd)² ) = √( 18500 yd² ) = 136.015 yd

Answer:

  B)  BD

Step-by-step explanation:

The number of columns of the first matrix (2nd dimension) must match the number of rows of the second matrix (1st dimension). When you write the dimensions together, the two middle numbers must be the same.

AB ⇒ (3x2) × (3x5) . . . . 2 ≠ 3, so cannot be multiplied

BD ⇒ (3x5) × (5x7) . . . . 5 = 5, so can be multiplied

CD ⇒ (2x3) × (5x7) . . . . 3 ≠ 5, so cannot be multiplied

DD ⇒ (3x5) × (3x5) . . . . 3 ≠ 5, so cannot be multiplied

Answer:

z = -0.4.

Step-by-step explanation:

Here's the formula for finding the z-score (a.k.a. standardized normal variable) of one measurement [tex]x[/tex] of a normal random variable [tex]X \sim N(\mu,\; \sigma^{2})[/tex]:

[tex]\displaystyle z = \frac{x-\mu}{\sigma}[/tex],

where

Let the length of a trout in this lake be [tex]X[/tex] inches.

[tex]X \sim N(30, \; 4.5^{2})[/tex].

For this measurement, [tex]x = 28.2[/tex]. Apply the formula to get the z-score:

[tex]\displaystyle z = \frac{x - \mu}{\sigma} = \frac{28.2 - 30}{4.5} = -0.4[/tex].

Answer:

Store #1 : 2x + 40

Store #2 : 3x + 36

he should buy his aquarium from store #1 because (2 * 5) + 40 = 50 and     (3 * 5) + 36 = 51, therefore it is cheaper at store #2 if he is buying 5 fish

To represent the cost of x fish and an aquarium at each store, we can set up a system of equations and solve them. By substituting the given information into the equations and simplifying, we can find the values of the variables. The solution represents the cost of an aquarium at each store. By comparing the total cost at each store, we can determine from which pet store Ronald should buy his aquarium if he wants 5 fish.

To write a system of equations to represent the cost of x fish and an aquarium at each store, let's assign variables to the cost of fish and the cost of an aquarium at each store.

Let:

x = number of fish

y = cost of an aquarium at the first store

z = cost of an aquarium at the second store

The first equation can be set up as: 2x + y = total cost at the first store

The second equation can be set up as: 3x + z = total cost at the second store

Solve this system to find the values of y and z.

Substitute the given information into the equations:

2x + y = 40 (equation 1)

3x + z = 36 (equation 2)

Multiply equation 1 by 3 and equation 2 by 2 to eliminate the y variable:

6x + 3y = 120

6x + 2z = 72

Subtract equation 2 from equation 1:

6x + 3y - (6x + 2z) = 120 - 72

6x - 6x + 3y - 2z = 48

y - 2z = 48

Now we have a system of equations:

y - 2z = 48

3x + z = 36

Solve this system using any method of your choice, such as substitution or elimination, to find the values of y and z.

Once you have the values of y and z, you can determine the cost of an aquarium at each store.

Compare the total cost at each store to decide from which pet store Ronald should buy his aquarium if he wants 5 fish.

Answer:

19,262.5

Step-by-step explanation:

If the car decreases by 4.5% eah year for 5 years-

4.5 x 5 = 22.5%

So after 5 years, the car would be 22.5% cheaper.

22.5% of 25,000 is multiplication-

.225 x 25,000 = 19,262.5

hope this helps!

Answer: x+7

Step-by-step explanation:

Taylor has x number of cats. Because we do not know how many cats they have combined, or the number of cats Taylor has, we can only simplify it to x+7. Therefore, x+7= the number of Staci's cats. Hope that helps! :)

It is.

The function is just another way of saying to transfer something from domain A to domain B.

[tex]f(x)=y:A\longrightarrow B; x\in A, y\in B[/tex]

Now your function states:

[tex]D=\{x\} \\

f(x)=y: D\longrightarrow E; x\in D, y\in E[/tex]

Answer:

  x = 1 and x = 4

Step-by-step explanation:

A graph of the given equation, after rewriting to make the solutions be zeros of the function, shows the solutions to be x = 1 and x = 4.

You can take the antilog and solve the quadratic:

  log3((6x)^2/(4x)) = log3((x+2)^2) . . . . consolidate the logs

  9x = (x +2)^2 . . . . simplify and take the antilog

  0 = x^2 -5x +4 . . . subtract 9x

  0 = (x -4)(x -1) . . . . factor

Solutions are x = 1 and x = 4. (These values make the factors zero.)

Answer:

c on edge

Step-by-step explanation:

Answer:

$550

Step-by-step explanation:

You need the equation E(s) = 350 + 0.15s, where E(s) represent his total weekly earnings.

If he earned $432.50 this means E(s) = 432.50 and you can write it as:

350 + 0.15s = 432.50 and this is the equation we need to solve

You need to substract 350 on both sides of the equation

350 - 350 +0.15 s = 432.50 - 350

And we get

0.15s = 82.5

Then we divide both sides of the equation by 0.15

0.15s/0.15 = 82.5/0.15

And we get s = 550.

Answer:

the answer 43.5 units²

Step-by-step explanation:

i took this in school and remember it hope it helped

1. The area of the figure is 42 units².

2. The area of the figure is 38 units²

The area of a figure is the extent of its 2D space, quantifying the region it occupies.

It's calculated using specific formulas based on the figure's geometric properties, such as length, width, and shape.

1. The figure can be splitted into 3

Area1 = 1/2bh

= 1/2 × 7 × 2

= 7units²

Area 2 = l × w

= 7 × 4 = 28 units²

Area 3 = 1/2bh

= 1/2 × 7 × 2

= 7 units²

Area of figure = 28+7+7

= 42 units²

2. The shape can be divided into a trapezoid and two equal triangles

area of Trapezoid = 1/2(a+b)h

= 1/2 ( 3+5)8

= 8 × 4

= 32 units²

area of triangle = 1/2bh

= 1/2 × 3 × 4

= 6 units²

area of the figure = 32 + 6

= 38 units²

Remember to be mindful of the signs when adding and subtracting. The answer is:11w^4-5w^2z^2-4z^4

Answer:

d. 32.9

Step-by-step explanation:

To find c, we'll use the Law of Sines that says:

[tex]\frac{a}{sin(A)} = \frac{c}{sin(C)}[/tex]

And we'll isolate a to get:

[tex]c = \frac{sin(C) * a}{sin(A)}[/tex]

We first need to find A, which is easy.  The sum of the interior angles of a triangle is 180 degrees... and we already have 2 of them, so:

A = 180 - 90 - 47.3 = 42.7

(converted 47°18' to 47.3)

Then we will plug-in the information we already have

[tex]c = \frac{sin(90) * 22.3}{sin(42.7)} = 32.88[/tex]

So, let's round it to 32.9 to match the answer number D.

Answer:

D, 32.9

Step-by-step explanation: