I need help on these 3 questions please! ​

Answer:

Example 1

A backyard farmer wants to enclose a rectangular space for a new garden. She has purchased 80 feet of wire fencing to enclose 3 sides, and will put the 4th side against the backyard fence. Find a formula for the area enclosed by the fence if the sides of fencing perpendicular to the existing fence have length

L.

In a scenario like this involving geometry, it is often helpful to draw a picture. It might also be helpful to introduce a temporary variable,

W, to represent the side of fencing parallel to the 4th side or backyard fence.

Since we know we only have 80 feet of fence available, we know that

L + W + L = 80, or more simply, 2L + W = 80. This allows us to represent the width, W, in terms of L: W = 80 – 2L

Now we are ready to write an equation for the area the fence encloses. We know the area of a rectangle is length multiplied by width, so

A = LW = L(80 – 2L)

A(L) = 80L – 2L2

This formula represents the area of the fence in terms of the variable length

L.

Example 2

Returning to our backyard farmer from the beginning of the section, what dimensions should she make her garden to maximize the enclosed area?

Earlier we determined the area she could enclose with 80 feet of fencing on three sides was given by the equation

A(L) = 80L – 2L2. Notice that quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

In finding the vertex, we take care since the equation is not written in standard polynomial form with decreasing powers. But we know that

a is the coefficient on the squared term, so a = -2, b = 80, and c = 0.

Finding the vertex:

h

=

−

80

2

(

−

2

)

=

20

,

k

=

A

(

20

)

=

80

(

20

)

−

2

(

20

)

2

=

800

The maximum value of the function is an area of 800 square feet, which occurs when

L = 20 feet. When the shorter sides are 20 feet, that leaves 40 feet of fencing for the longer side. To maximize the area, she should enclose the garden so the two shorter sides have length 20 feet, and the longer side parallel to the existing fence has length 40 feet.

Example 3

A ball is thrown upwards from the top of a 40 foot high building at a speed of 80 feet per second. The ball’s height above ground can be modeled by the equation

H(t) = –16t2 + 80t + 40.

What is the maximum height of the ball?

When does the ball hit the ground?

To find the maximum height of the ball, we would need to know the vertex of the quadratic.

h

=

−

80

2

(

−

16

)

=

80

32

=

5

2

,

k

=

H

(

5

2

)

=

−

16

(

5

2

)

2

+

80

(

5

2

)

+

40

=

140

The ball reaches a maximum height of 140 feet after 2.5 seconds.

To find when the ball hits the ground, we need to determine when the height is zero—when

H(t) = 0. While we could do this using the transformation form of the quadratic, we can also use the quadratic formula:

t

=

−

80

±

√

80

2

−

4

(

−

16

)

(

40

)

2

(

−

16

)

=

−

80

s

q

r

t

8960

−

32

Since the square root does not simplify nicely, we can use a calculator to approximate the values of the solutions:

t

=

−

80

−

s

q

r

t

8960

−

32

a

p

p

r

o

x

5.458

The second answer is outside the reasonable domain of our model, so we conclude the ball will hit the ground after about 5.458 seconds.Step-by-step explanation:

Answer:

Can you show me a picture, that would help.

Answer: 21n^4 -46n^3 -4n^2 +7n

Step-by-step explanation:

21n^4 +3n^3 +3n^2 -49n^3 -7n^2 +7n =

21n^4 -46n^3 -4n^2 +7n

Answer: I think it’s 3

Step-by-step explanation: I took a look at 13 and 12 subtracted 6-3=3

so I believe this is the answer sorry if I’m wrong

Answer:

3?

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

Answer:

Step-by-step explanation:

this is a graph of y=2

the domain is {-∞< x<∞}, x can be any real Number

Step-by-step explanation:

4(x - 7) + 8

= (4)(x) + (4)(-7) + 8

= 4x - 28 + 8. (D)

Answer:

tetrahedral

Step-by-step explanation:

According to the valence shell electron pair repulsion theory (VSEPR) the shape of a molecule is dependent on the number of electron pairs on the valence shell of the central atom in the molecule.

The predicted electron pair geometry may sometimes differ from the molecular geometry due to the presence of lone pairs and multiple bonds.

If we consider each nitrogen atom in N2 independently, we will notice that each nitrogen atom has four regions of electron density. Hence the electron pair geometry is tetrahedral.

Answer:

c on edge

Step-by-step explanation:

its not congruent, i got 100 on quiz btw

Answer:

its C

Step-by-step explanation:

Answer:

101.66

Step-by-step explanation:

area is pi times radius times radius

pi times 5.69 times 5.69 is 101.660954

please give me a brainliest!!!<3

Answer:

75 degrees

Step-by-step explanation:

I hope this helps you out!

Answer:

Step-by-step explanation:

105 degree angle

hope it helps

Answer:

87

Step-by-step explanation:

Answer:

This other side of the triangle is equal to about 11.7 cm

Step-by-step explanation:

In order to find out the third side of the triangle we will just use the Pythagoras Theorem.

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

Since we know the hypotenuse and we know one of the legs, in order to find the second leg we just substitute the values and solve the equation and so we get...

[tex]c^{2} =a^{2} + b^{2}\\19^{2} = 15^{2} + b^{2}\\361 = 225 + b^{2} \\[/tex]

[tex]b^{2} = 361 - 225\\b^{2} = 136\\b = \sqrt{136} \\[/tex]

And so b ≈ 11.66190

Answer and Step-by-step explanation:

Trigonometric Function (These only work for right triangles):

SOH-CAH-TOA

S = Sine = sin

C = Cosine = cos

T = Tangent = tan

O = Opposite (side)

H = Hypotenuse (side)

A = Adjacent (side)

SOH = sin(angle) = [tex]\frac{opposite}{hypotenuse}[/tex]

CAH = cos(angle) = [tex]\frac{adjacent}{hypotenuse}[/tex]

TOA = tan(angle) = [tex]\frac{opposite}{adjacent}[/tex]

1. sinQ (Q is the angle) = [tex]\frac{14}{50} = \frac{7}{25} = 0.28[/tex]

Use Pythagorean Theorem to find side PQ.  [tex]14^{2} + PQ^{2}= 50^{2} \\PQ^{2} = 2304\\PQ = 48[/tex]

2. cosQ = [tex]\frac{48}{50} = \frac{24}{25} = 0.96[/tex]

3. tanQ = [tex]\frac{14}{48} = \frac{7}{24} = 0.29[/tex]

Answer:

going in the order top to bottom

i)

2

2

2

2 and 2

ii)

2 and 2

2

2

2 and 2

iii)

2

2

2 and 2

2 and 2

Step-by-step explanation:

you have to find out what number you times to get the number they have given you (eg: you have to get 4 and they have given you the number 2, 2 times what makes 4? the answer is 2)

Answer:  The question is The Gardener charged $0.50 per plant and a flat payment of $75. Which function represents this scenario?

The answer is 0.50x-75

The total cost will be the product of the gardener charged and the number of plants. The total cost is $ 37.5

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The gardener charged $ 0.50 per plant and $75 to plant all of them.

Let X be the gardener charged and Y be the number of plants.

The total cost will be the product of the gardener charged and the number of plants. That can be written as

Total cost = X × Y

Total cost = 0.50 × 75

Total cost = $ 37.5

More about the multiplication link is given below.

https://brainly.com/question/19943359

Answer:

Slope of line A= -1/3

B=-1

C= -5/4

Step-by-step explanation:

Use: slope m= y-y1/ x-x1

Answer:

so we can't because you did put the full question

Answer:

a[tex]n[/tex]=5n

Step-by-step explanation:

Answer:

The y-intercept is 0

Step-by-step explanation:

Here, we want to get the y-intercept value of y = sin x

From the plot of the graph, we can see that the graph of sin x touches the y-axis at the point y = 0

So therefore, the y-intercept of y = sin x is 0

Answer:

Step-by-step explanation:

it should add up to 360°

360=135 + 120 + 7x-64+5x-4+3x+31+4x+15+6x-8     (seems like too much huh)

360=225+25x  ( much better just add the x terms and the constants together)

135 = 25x  ( just subtract 225 from each side of the equation)

5.4 = x  ( divide 135 by 25 )

Step-by-step explanation:

mmm whats the question though

they are all inequality symbols

Answer:

x < 12/7

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

We know the total amount of marbles in the bag, 6. Now, we need to make a fraction, there are 3 blue marbles, so our fraction is 3/6. This can be simplified to 1/2.

The required probability of the blue marble in the bag is 1 / 3.

Given that,
A bag with 6 marbles has 2 blue marbles, 1 red marble, and 3 yellow marbles. A marble is chosen from the bag at random, what is the probability that it is blue is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

here,
Total number of marble in the bag = 6
Total number of blue marble in the bag = 2
Probability of the blue marble in the bag = 2 / 6 = 1 / 3

Thus, the required probability of the blue marble in the bag is 1 / 3.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

Answer:

60 is your answer

Step-by-step explanation:

Good Luck!!!   :D

Can i have brainliest?

Answer:

A=50.27

Step-by-step explanation:

Answer:

slope = 1

Step-by-step explanation:

-3 | -3

5  | 5

_____

8  | 8

8/8= 1

Answer:

1/10

Step-by-step explanation:

Since he has delivered 9/10 of mail, he only needs 1 more tenth (1/10) to achieve 10/10, or all the mail delivered