The table gives information about the height of some trees draw a histogram for the information of some trees

The maximum area of the rectangular path is when the length is 24 feet and the width is 12 feet.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the length and y represent the width. Hence:

There is 48 feet of fencing:

x + 2y = 48

x  = 48 - 2y   (1)

The area (A) is:

A = xy = y(48 - 2y)

A = 48y - 2y²

The maximum area is at A' = 0, hence:

48 - 4y = 0

y = 12

x = 48 - 2(12) = 24

The maximum area of the rectangular path is when the length is 24 feet and the width is 12 feet.

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Answer:

The answer is 0.0000036.

Step-by-step explanation:

Move the decimal place 6 spaces to the left. I hope this helps! :)

Answer:

True.

Keys:

Step-by-step explanation:

[tex]\tan \left(\theta\right)+\cot \left(\theta\right)=\sec \left(\theta\right)\csc \left(\theta\right)\\\tan \left(\theta\right)+\cot \left(\theta\right)\\=\frac{\cos ^2\left(\theta\right)+\sin ^2\left(\theta\right)}{\cos \left(\theta\right)\sin \left(\theta\right)}\\=\frac{1}{\cos \left(\theta\right)\sin \left(\theta\right)}\\\\\sec \left(\theta\right)\csc \left(\theta\right)\\=\frac{1}{\cos \left(\theta\right)\sin \left(\theta\right)}[/tex]

What was shown throughout this problem?

We showed that two different sides are capable of taking the same form.

Answer:

Check the attached image below

The area, to the nearst square inch, of a circle the same size az the bicycle wheel is  531 inches².

A circle is a bounded figure which points from its center to its circumference is equidistant.

Area of a circle = πr²

Where :

π = pi = 22/7

R = radius

The full rotation of the wheel is equal to the circumference of the wheel.

circumference of the wheel = 2 πr

26π = 2 πr

r = 13 inches

Area = 22/7 x 13³ = 531 inches²

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Answer:

g^-1(5)=10/3

Step-by-step explanation:

g(x)=3x-5

g(x)= y

g^-1( y)=x

3x-5=y

3x=y+5

x=y+5/3

g^-1(y)=y+5/3

g^-1(5)=5+5/3

g^-1(5)=10/3

Answer:

Step-by-step explanation:

15) let T1 be the event : “get a tail in the first flip”

    let T2 be the event : “get a tail in the second flip”

p(T1 ∩ T2) = 1/4

p(T1) = 1/2

p(T2) = 1/2

Then

p(T1) × p(T2) = (1/2)(1/2 = 1/4

Since ,p(T1 ∩ T2) = 1/4 = p(T1) × p(T2)

Then the events are independent.

16) These events are dependent since we don’t  replace the Queen before the second draw.

The two Events are dependent because the probability that we draw a Queen  in the first draw affect the probability that we draw a Queen in the second draw.

Answer:

7

Step-by-step explanation:

you just multiply from the least and once you get to the greatest, it should be 7

Answer:

36

Step-by-step explanation:

12 x 6 = 72 / 2 = 36 because the area of a triangle is base times height divided by 2

The measure of ∠ABP and ∠ABC are 32° and 64° respectively.

Any line which divides an angle into two equal halves is a bisector of that angle.

Analysis:

Since the arcs at D and E are drawn with the same radius and arc using center D and E are intersected by line PB( which is the bisector of the full arc with center B) then ∠ABP = ∠PBC = 32°.

∠ABC = ∠ABP + ∠PBC

∠ABC = 32 + 32 = 64°

In conclusion, ∠ABP and ∠ABC are 32° and 64°

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Answer:ABP is 32 degrees, and ABC is 64 degrees

Step-by-step explanation: bi hope this helped if not sorry:)

Answer:

1 apple

Step-by-step explanation:

unless you are a psycho who counts the one he ate as still in his possession,

therefore 2 - 1 = 1

hope this helps:)

Answer:

1.0452

Step-by-step explanation:

10*sin6

10*0.1045

the answer is 1.0452

Answer:

The answer is D. infinite.

Answer:

infinte

Step-by-step explanation:

→ For any value of x which is substituted you will get that value

Answer:

The answer is B. 13.7 inches

i hope this can help you! :)

Answer: None

Step-by-step explanation:

There is only one pair of angles and one pair of sides, which is not sufficient to prove triangle congruence.

Answer:

48 muffins were sold

Step-by-step explanation:

Represent the number of muffins by m and the number of cookies by c.

Then the revenue from the sales of muffins was ($2/muffin)m and that from the sales of cookies ($1/cookie)c.  Remembering that c = m + 2, we obtain the following equation:

($2/muffin)m +  ($1/cookie)(m + 2) = $146, so that:

2m + 1m + 2 = 146, or 3m + 2 = 146, or 3m = 144.

Dividing both sides of this result by 3, we get m = 48

Thus, 48 muffins were sold.

The A(n) is inverse function is the function that sometimes results when the independent variable of a function is exchanged with the dependent variable.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We know that the inverse of a function, sometimes known as an anti function, is a function that can be reversed into another.

In other words, if a function "f" converts x to y, the inverse of the same function will convert y to x. The inverse function is denoted by f⁻¹ or F⁻¹ if the function is denoted by 'f' or 'F'.

Thus, the A(n) is inverse function is the function that sometimes results when the independent variable of a function is exchanged with the dependent variable.

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Answer:

1500

Step-by-step explanation:

You can find the complete solution in the given attachment

Answer:

Step-by-step explanation:

there are infinite numbers between 2 and 3 having average=2.5

2.49,2.51

2.48,2.52

2.47,2.53

2.46,2.54

.................

2.491,2.509

2.492,2.508

2.493,2.507

......................

Answer:

a dice has 1 two and 1 three

1/6 *1/6 =1/36

Answer:

Tn= a+( n-1) 3

Tn= 9+(n-1)3

Answer: [tex]\angle XWY \cong \angle ZWY[/tex]

Step-by-step explanation:

We know that [tex]\overline{WY} \cong \overline{WY}[/tex] by the reflexive property, so we need the included angles to be congruent (meaning [tex]\angle XWY \cong \angle ZWY[/tex]

Answer: [tex]54^{\circ}[/tex]

Step-by-step explanation:

Because reflections are rigid motions, we know that [tex]\triangle ABC \cong \triangle A'B'C'[/tex], and thus [tex]\angle B \cong \angle B'[/tex].

It follows that since angles in a triangle add to 180 degrees, [tex]m\angle C'=180^{\circ}-59^{\circ}-67^{\circ}=\boxed{54^{\circ}}[/tex]

Answer:

the circumference is 30 cm,

Step-by-step explanation:

Hope it helps

The linear equation will be 2x + 10 = 5(x - 6). Then the value of the variable x will be 23.33.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Translate then Solve for the variable:

The sum of two times a number and 10 is five times the difference between a number and six.

Let the number be x.

Then the equation will be

2x + 10 = 5(x - 6)

Then the value of x will be

2x + 10 = 5x - 60

5x - 2x = 60 + 10

      3x = 70

        x = 23.33

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Answer: 91 coins

9 x 25 = 2.25 dollars
3 x 10 = 30 cents
1 x 5 = 5 cents

Answer:

c = speed of current = 3 km/hr

r = speed of boat in still water = 15 km/hr

Step-by-step explanation:

Use the formula distance = time x rate to set up these equations

45 = 2.5 (r+c)

39 = 3.25 (r-c)

(r + c) is the speed of the boat added to the speed of the current, downstream

(r - c) is the speed of the boat minus the speed of the current, upstream

Use one equation to isolate a variable then substitute it into the other equation to solve the system.

39/3.25 = r - c

12 + c = r

45 = 2.5 ( 12 + c + c )

18 = 12 + 2c

6 = 2c

c = 3

Then use the equation 12 + c = r from above

12 + c = r

12 + 3 = 15

r = 15 km/hr

Answer:

-7/25

Step-by-step explanation:

=(1/5) ÷ (-5/7)

Copy dot flip

=(1/5) * (-7/5)

=-7/25