Edulastic
Full explanation please
Will Give Brainl3$t

Answer:4.5

Step-by-step explanation: Check the file for my explanation

The shortest length of the fence used by the rancher in a rectangular field of 1000000 square feet is 4899 ft.

The area of a rectangle is a region enclosed in four corners where two opposite sides are equal. The area of the rectangle is mathematically expressed as:

Area of a rectangle = length(x) × breath(y)

1000000 sq.ft = (x) × (y) ---- (1)

However, to determine the fencing, we have:

Length of fencing = 2x + 2y  

Suppose we use the x-direction to estimate the region where the fencing is located, we have:

Length of fencing = 2x + 2y + x

Length of fencing = 3x + 2y ---- (2)

From equation (1), make (y) the subject of the formula and replace the value of y with equation (2)

The Length of fencing is:

[tex]\mathbf{L = 3x - 2( \dfrac{1000000}{x})}[/tex]

[tex]\mathbf{\dfrac{dL}{dx} = 3 - \dfrac{2000000}{x^2} = 0}[/tex]

[tex]\mathbf{ x^2= \dfrac{2000000}{3} }[/tex]

[tex]\mathbf{ x= \dfrac{1000\sqrt{2}}{\sqrt{3}} }[/tex]

[tex]\mathbf{x = \dfrac{1000 \sqrt{6}}{3}}[/tex]

Now, if we replace the value with equation (1), then y will be:

[tex]\mathbf{y = \dfrac{1000000}{\dfrac{1000 \sqrt{6}}{3}} }\\ \\ \\ \\ \mathbf{y = \dfrac{3000 }{\sqrt{6}}}[/tex]

[tex]\mathbf{x =500\sqrt{6}}[/tex]

Now, the shortest length of the fencing can be computed by using the equation (2):

L = 3x + 2y

[tex]\mathbf{L = 3( \dfrac{1000 \sqrt{6}}{3}) + 2(500 \sqrt{6})}[/tex]

[tex]\mathbf{L =1000 \sqrt{6} + 1000 \sqrt{6}}[/tex]

[tex]\mathbf{L =2000 \sqrt{6} }[/tex]

[tex]\mathbf{L \simeq 4899 \ ft}[/tex]

Learn more about the area of a rectangle here:

https://brainly.com/question/25292087

Answer:

70%

Step-by-step explanation:

Our sense of smell is responsible for 70% of our overall chocolate tasting experience.

There are 50 seventh-grade students who can she predict riding the bus to school.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The unitary method is a method by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that first-period class, 10 out of 32 students ride the bus to school. There are 160 students in seventh grade.

Therefore, we have;

160/32=5

10 x 5 =50

Thus, the answer is 50

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Answer:

Step-by-step explanation:

They are all solved kind of the same way. If the vertex of the angle is outside of the circle, subtract the intercepted arcs and divide by 2

for 15) one arc is marked but you can figure out the other arc because there are 360 degrees in a circle  360 - 102 = 258. So the two arcs are 102 degrees and 258 degrees.

some of the problems you can set up the equation and solve.

17) 63 = {(360-x) - x} /2     multiply by 2

126 = {(360-x) - x}     combine like terms

126 = 360 - 2x           subtract 360

-234 = -2x                   divide by -2

117 = x

? = 117 degrees

good luck

Answer:

4th option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 12) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = [tex]\frac{6-12}{6-2}[/tex] = [tex]\frac{-6}{4}[/tex] = - [tex]\frac{3}{2}[/tex]

the line crosses the y- axis at (0, 15 ) ⇒ c = 15

y = - [tex]\frac{3}{2}[/tex] x + 15 ← approximate equation of line of best fit

Answer:

(0, -4)

Step-by-step explanation:

The solution to the system is the point that is on both lines. It is where the lines intersect (cross). They intersect at the point (0, -4)

Answer:

3.7r -7

Step-by-step explanation:

Basically you would subtract 6.4 and 2.9 because there is a negative sign and they have the same variable. Then you would put it (2.9r)first since it is in order and you can't combine 7 and 2.9r so you leave it like that.

Use language that's easy-to-understand. If there's a piece of vocabulary that you feel needs clarifying, define it!   23

Step-by-step explanation:

Answer:

B  x = 3, y= 3

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

[tex]\implies \sin(45^{\circ})=\dfrac{x}{3\sqrt{2}}[/tex]

[tex]\implies x=3\sqrt{2}\sin(45^{\circ})[/tex]

[tex]\implies x=3\sqrt{2} \cdot \dfrac{\sqrt{2}}{2}[/tex]

[tex]\implies x=\dfrac{3\sqrt{2} \sqrt{2}}{2}[/tex]

[tex]\implies x=\dfrac{3 \cdot 2}{2}=3[/tex]

[tex]\implies \cos(45^{\circ})=\dfrac{y}{3\sqrt{2}}[/tex]

[tex]\implies y=3\sqrt{2}\cos(45^{\circ})[/tex]

[tex]\implies y=3\sqrt{2} \cdot \dfrac{\sqrt{2}}{2}[/tex]

[tex]\implies y=\dfrac{3\sqrt{2} \sqrt{2}}{2}[/tex]

[tex]\implies y=\dfrac{3 \cdot 2}{2}=3[/tex]

Answer:

1. Rectangular Prism

2. Cylinder

3. Triangular Pyramid

4. Triangular Prism

5. Cone

6 Rectangular Pyramid

Answer:

4 1/2 = 9/2 

Dividing 9/2 by 3/8,

9/2 x 8/3 = 72/6 = 12

Therefore, Keisha made 12 individual servings.

Answer:

The dependent variable is Amy's pay

The independent variable is Jo's pay

Step-by-step explanation:

Depending on how much Amy gets paid, Jo gets 20% of it.

Answer:

95°, 110°

Step-by-step explanation:

Since we're dealing with a cyclic quadrilateral ,

m<T + m<R 180°

7y + 11y = 180°

18y = 180°

y = 10°

Also,

m<S + m<U = 180°

3x+5+3x-5= 180°

6x = 180°

x = 30°

m<S = 3x+5 = 3(30)+5

= 95°

m<R = 11y = 11(10)

= 110°

Given -

To find -

(nullifying x and y)

Explanation -

As we know this is a cyclic quadrilateral and it's either pair of the opposite angles sum up to 180°.

Therefore,

m∠S + m∠U = 180° ---(1)

m∠R + m∠T = 180° ---(2)

Solution -

Substituting the values of the measure of angles in (1)

➜ m∠S + m∠U = 180°

➜ (3x + 5)° + (3x - 5)° = 180°

➜ 6x = 180°

➜ x = 180/6

➜ x = 30

Therefore, m∠S = (3x + 5)° = {3(30)+5}° = (90+5)°

m∠S = 95°

Substituting the values of the measure of angles in (2)

➜ m∠R + m∠T = 180°

➜ (11y)° + (7y)° = 180°

➜ 18y = 180°

➜ y = 180/18

➜ y = 10

Therefore, m∠R = (11y)° = (11×10)° = 110°

Answer:

[tex](x,y) = (4,1)[/tex]

Step-by-step explanation:

[tex]-4+5\cdot 1 = 5-4 =1[/tex]

Answer:

(2, 3/5)

Step-by-step explanation:

Step 1. Rewrite as slope-intercept form, y = mx + b (OPTIONAL)

-x + 5y = 1

5y = x + 1

y = 1/5x + 1/5

Step 2. Pick an x value, then sub for y

x = 2

y = 1/5(2) + 1/5

y = 2/5 + 1/5

y = 3/5

Ordered pair: (2, 3/5)

God bless!

Answer:

Answer:

47

Step-by-step explanation:

a)

a^2 + b^2 = c^2

33^2+33^2=c^2

2178=c^2

c=(nearest is 47)

b)

If you cut the square in half diagonally, it forms two right triangles with angle measures 90-45-45. You can use sin (opposite over hypotenuse) to find the length of the hypotenuse.  sin (45) would be 33/(hypotenuse length). From a trig chart, you can find that sin (45) is 1/sqrt(2), meaning that 33/x = 1/sqrt(2). This means that x=33sqrt(2), which is around 47.

Step-by-step explanation:

Answer:

11.6

Step-by-step explanation:

11.64 without rounding. since the 2nd decimal is below 5, we round down to 0. 11.60, or just 11.6 :) hope this helps!

Answer:

4x(3-2)

Step-by-step explanation:

since in 2 groups, there are number 4 in common

Apply Distributive Law to achieve this.

Answer:

The architect will need to inspect 185,772 square feet.

Step-by-step explanation:

The square feet the architect must inspect represents the lateral surface area of the square pyramid. Since the base of the pyramid is a regular polygon, a square, then the given formula can be used. Let P be the perimeter of the base and l be the slant height of 274 feet.

Find the perimeter of the base by multiplying the length of a side, 339 feet, by the number of sides of the base, 4.

So, the architect will need to inspect 185,772 square feet of the pyram

The total of 109327.5 feet² of the square area the architect needs to inspect.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right angle triangle, equilateral triangle, and much more.

A pyramid consists of 3 equal triangles given that the vertical height of a triangle is 215 feet, and the base is 339 feet.

Area of one triangle =  (1/2) × base × height.

⇒ (1/2)  × 339 × 215

⇒ 36442.5

Since in a pyramid, there are a total 3 triangles so

Total surface area = 3 × surface area of 1 triangle.

Total surface area = 3 × 36442.5 = 109327.5 hence correct answer will be 36442.5.

For more about triangles,

https://brainly.com/question/2773823

#SPJ2

Answer:

$26.25

Step-by-step explanation:

35*.25 is 8.75

35-8.75=$26.25

Answer:

#20 is -20

#21 is -3

#22 is 36

Answer:

Owen should wear thick, layered clothing thats will keep him warm

Example:Jackets,sweaters,heavy socks, gloves, benies, Balaclavas...ect

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Heavier Clothes, Since, The higher elevation will have cooler tem

Answer:

ok, i think this would be.....a.

Step-by-step explanation: so i know 7x4=28  so 7*4=a    makes sense  cause a = 28

have a nice day

Answer:

  18 tala

Step-by-step explanation:

The exchange is proportional, so the number of tala Ming receives will be proportional to the number of dollars she exchanges.

  x / ($6) = 6 tala / ($2)

__

Multiplying by $6, we have ...

  x = (6 tala)($6/$2) = 18 tala

Ming would get 18 tala when exchanging $6.

Answer:

  (d)  Inverse of f. Domain: 6, 9, 3. Range: 8, 10, 12. 6 goes to 8; 9 goes to 10; 3 goes to 12.

Step-by-step explanation:

Apparently function f is defined by the ordered pairs (8, 6), (10, 9), (12, 3).

The inverse function will be defined by the ordered pairs with the input and output reversed:

  (6, 8), (10, 9), (3, 12)

This seems to be described by the last answer choice.

Answer:

f(x) = 2(x+3)+2

Step-by-step explanation:

Answer:

P = 9x + 22

Step-by-step explanation:

Perimeter = sum of all sides

P = (3x + 11) + (3x + 11) + (3x)

P = 9x + 22

I hope this helps! God bless

Answer:

center = (-8, 7)

radius = 8 units

Step-by-step explanation:

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center of the circle and r is the radius)

Rewrite the given equation:

[tex]x^2+y^2+16x-14y+49=0[/tex]

[tex]\implies x^2+16x+y^2-14y+49=0[/tex]

[tex]\implies (x+8)^2-64+(y-7)^2-49+49=0[/tex]

[tex]\implies (x+8)^2+(y-7)^2=64[/tex]

Therefore:

Answer:

The circle is centered at (8,0)

The circle has a radius of 10 units.

Step-by-step explanation:

trust

Answer:

Groceries R Us

Step-by-step explanation:

i dont know how to explain lol