A bicycle path divides a rectangular park. The path makes a 42° angle with the top border of the park, so mZ1 = 42°. What is m/2? How do you know?

Answer:

438.55 ft²

Step-by-step explanation:

1 bag = 125.3 ft²

3.5 bags = 125.3 • 3.5 ft²

= 438.55 ft²

Answer:

Step-by-step explanation:

125.3*3.5

438.55

Answer:

D) 3x+13

Step-by-step explanation:

f(x+5)

-2+3(x+5)

-2+3x+15

3x+15-2

3x+13

Answer: The same number of tickets was sold on the fourth day and tenth day.

Step-by-step explanation:

Given: [tex]T(d)[/tex] is a function that relates the number of tickets sold for a movie to the number of days 'd' since the movie was released.

Also, the  average rate of change in T(d) for the interval d = 4 and d = 10 is 0.

Since the average rate determines the rate of change in the dependent variable (T(d)) with respect to the independent variable (d).

It means that there is no change from 4th day to 10th day in the number tickets sold.

Hence, the correct option is "The same number of tickets was sold on the fourth day and tenth day."

Answer:

A

Step-by-step explanation:

Answer: 15

120/8 = 60/4 = 15

Answer:

15

Step-by-step explanation:

Answer:

Step-by-step explanation:

-12 = 4p

-12/4 = p

-3 = p

Answer:

-3

Step-by-step explanation:

-12 =4p

p =-12:4

p =-3

Answer: [tex]\frac{355}{7}[/tex]

Decimal Answer: 47.857143

Please Mark Me As Brainliest If I Helped. Have a Great Day :D

Answer:

1 x 48, 2 x 24, 3 x 16, 4 x 12, or 6 x 8. Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24,

Step-by-step explanation:

u need to find the highest common factor

Steps to solve:

3(3x - 6) = 18

~Distribute left side

9x - 18 = 18

~Add 18 to both sides

9x = 36

~Divide 9 to both sides

x = 4

Best of Luck!

Answer:

x = 4

Step-by-step explanation:

Let's work on isolating (3x - 6).  Start by dividing both sides of 3(3x - 6) = 18 by 3, obtaining:

3x - 6 = 6.

Next, add 6 to both sides:

3x = 12

Finally, divide both sides by 3:

x = 4

Answer:

The ratio of monthly income to the savings in a family is 5 : 4 If the savings be $9000, find the income and the expenses.

2. What should be added to the ratio 5 : 11, so that the ratio becomes 3 : 4?

3. Two numbers are in the ratio 7 : 5. If 2 is subtracted from each of them, the ratio becomes 3 : 2. Find the numbers.

4. Two numbers are in the ratio 3 : 7. If their sum is 710, find the numbers.

Answer:

=24

Step-by-step explanation:

Evaluate for x=2,y=−4

23+(−4)2

23+(−4)2

Answer: 4,607 would be the correct answer. Hope your having a great day!!!

Answer: 7/12

Step-by-step explanation:

given data:

Box A

white ball = 1

red ball = 2

total ball = 3.

Box B

white ball = 1

red ball = 3

total ball = 4

Probability of picking a white ball as the final pick.

= 1/3 + 1/4

get the LCM = 12

= 4*1 + 1*3 /12

= 4 + 3 /12

= 7/12

Answer:

8

Step-by-step explanation:

68/8.2=8

Answer:

0.1028938

Step-by-step explanation:

Given the following :

Average gold production in Northern Nevada =3.2 grams per short ton (2000 pounds)

Value of gold is measured in Troy ounces (ozt)

1 Troy ounces = 31.1 grams(g)

Number of Troy ounces of gold extracted from one short ton of Nevada ore ; let the number be t:

1 ozt = 31.1 g

t = 3.2 g

Cross multiply :

31.1 × t = 3.2 × 1

31.1t = 3.2

t = 3.2 / 31.1

t = 0.1028938 ozt

Hence, On average, 0.1028938 ozt of gold is extracted from one short ton of Nevada ore

Answer:

You can spend all of the money by getting 1 sandwich and 2 things of chips

Step-by-step explanation:

1 sandwich =4$

1 bag of chips =3$

4 + 3 =7

7+ 3= 10

Answer:

x = -12

Step-by-step explanation:

3x-24=5x

3x-5x=24 (move x's to same side by adding 24, and subtract 5x)

-2x = 24 (combine like variables, 3x-5x)

x = -12 (divide by -2)

Answer:

x= 105 also because it's a z angle

y= 180-105

=75

x=z which is 105, because they are alternative angles.

The given angle of 105 and angle z are consecutive interior angles and need to equal 180 degrees.

Z = 180-105 = 75 degrees

Angle z and angle c are vertical angles and are identical so angle x also equals 75 degrees

Angle y and 105 are supplementary angles and when added equal 180

Angle y is 180-105 = 75

X, y and z are all 75 degrees

In Sporting Events

Step-by-step explanation:

When comparing quantities you simplify which is your change fr the money you gave or your Tip you gave.

Answer:

Economics!

Step-by-step explanation:

I'll keep it brief, I'm in a class.

Say you're gain a certain amount of money, and losing some as well.

Find the difference, you got your rate, so you just graph it!

Stay Safe!

Answer:

Her brother has $15

Step-by-step explanation:

How come Molly has $45 which is as 3 times as much money as her brother has, we divide 45 by 3 which gives us $15.

(I don't really know what your question is but I hope this helped.)

Using digit concepts, it is found that, in expanded form:

[tex]90.125 = 9 \times 10^1 + 0 \times 10^0 + 1 \times 10^{-1} + 2 \times 10^{-2} + 5 \times 10^{-3}[/tex]

--------------------

[tex]90 = 0 \times 10^{0} + 9 \times 10^{1} = 9 \times 10^{1} + 0 \times 10^{0}[/tex]

[tex].125 = 1 \times 10^{-1} + 2 \times 10^{-2} + 5 \times 10^{-3}[/tex]

Combining the integer and decimal parts, we get that the number in expanded form is:

[tex]90.125 = 9 \times 10^1 + 0 \times 10^0 + 1 \times 10^{-1} + 2 \times 10^{-2} + 5 \times 10^{-3}[/tex]

A similar problem is given at https://brainly.com/question/17574571

Answer:

B is right

Step-by-step explanation:

=====================================================

Explanation:

We're given the following

[tex]C = \{ x | x \in \mathbb{N}, \ 30 < x < 56, \ \text{ x is divisible by 6}\}[/tex]

which means that we have a set of natural numbers between 30 and 56, excluding both endpoints, and the set of numbers are also multiples of 6.

So looking at the multiples of 6 that are between 30 and 56 leads us to

{30, 36, 42, 48, 54}

but we cross off 30 as we want x to be larger than that, so we get this updated final list

{36, 42, 48, 54}

There are four items in this final list so the cardinality of the set described is 4. The cardinality is just the number of items in a given set.

Answer:

B and c and e

Step-by-step explanation:

Sorry if late I need points

The sums 5 + (–2), –3 + 4, and –2 + 4 are positive option (B), (C), and (E) are correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

A.–5 + (–2)

= -5 + (-2)

= -5 - 2

= -7 (negative)

B. 5 + (–2)

= 5 - 2

= 3 (positive)

C. –3 + 4

= -3 + 4

= 1 (positive)

D. 0 + (–3)

= -3 (negative)

E. –2 + 4

= -2 + 4

= 2 (positive)

Thus, the sums 5 + (–2), –3 + 4, and –2 + 4 are positive option (B), (C), and (E) are correct.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Answer:

x/4=2

Since it's not said, the number represent a variable which we'll write as "x". The word "is" means "equals".

Answer:

15.

Step-by-step explanation:

f(x)=9+2x

x = 3, so f(3) = 9 + 2(3)

= 15.

(x + y)³

  use (a + b)³ = a³ + 3a²b + 3ab² + b³

x³ + 3x²y + 3xy² + y³ =

= (x + y)³

Answer:

a = - 1.1

Step-by-step explanation:

The condition for a single variable function f(x) to be decreasing is f'(x) < 0.

f(x) = 4/x^2 - 6x + 9

Then, differentiating with respect to x on both sides we get,

f(x) = 4(-2)(1/x^3) - 6 < 0

-8/x^3  - 6 < 0

8/x^3 + 6 > 0

{Dividing both sides with - 1 and hence the inequality sign changes}

8/x^3 > -6

8 > - 6x³ {Multiplying both sides with x³}

6x³ > - 8 {Interchanging the sides}

x^3 > -8/6

⇒ x > - 1.1

So,  a = - 1.1

Answer:

  a = 3

Step-by-step explanation:

The function can be written as ...

  f(x) = 4/(x -3)^2

This has a vertical asymptote at x=3 and will be decreasing for all values of x to the right of that -- on the interval (3, ∞).

  a = 3

Answer: x<-1/4

Step-by-step explanation:

Given

-3/x<12

Multiply x on both sides

-3/x · x<12 · x

-3<12x

Divide 12 on both sides

-3 / 12 < 12x / 12

Answer:

Approximately 14.4 inches

Step-by-step explanation:

A 16-inch laptop means that a diagonal across the screen is 16 inches.

Imagine that the laptop is a triangle, with 2 sides: the height and the width of screen, and a hypotenuse, the diagonal across the screen (see attached image).

Here, we can use the Pythagorean theorem to find the width.

The relationship is the following

[tex]diagonal^2 = height^2 + width^2[/tex]

We can rearrange this to find the width of the screen:

[tex]diagonal^2 = height^2 + width^2\\diagonal^2 -height^2 = width^2\\width^2 = diagonal^2 -height^2\\width = \sqrt{diagonal^2 - height^2}[/tex]

Let's put in our values for the diagonal and the height:

Diagonal = 16

Height = 7

[tex]width = \sqrt{16^2 - 7^2}\\ width = \sqrt{256 - 49} \\width = \sqrt{207}\\width = 14.3874946[/tex]

As we can see, the width of our laptop is around 14.4 inches.

Answer: approximately 14.4 inches

The width of the laptop screen is x = 14.3inches.

Given that,

A 16 inch laptop has a screen that is 7 inches tall.

We have to determine,

How wide is the screen.

According to the question,

 Diagonal length of the laptop = 16 inches

Length of the laptop = 7 inches

Width of the laptop = x inches

By using Pythagoras theorem,

[tex](Diagonal)^2 = (length)^{2} +( width)^{2}\\\\(16)^2 = (7)^2 + x^{2} \\\\x^{2} = 256 - 49\\\\x^{2} = 207\\\\x = \sqrt{207}\\\\x = 14.38 \ inches[/tex]

Hence, The width of the laptop screen is x = 14.3inches.

To know about Measurement click the link given below.

https://brainly.com/question/17690582

Answer:

3(2x-3)

Step-by-step explanation:

6x-9 Common factor is 3

6x/3 = 2x

-9/3 = -3

3(2x - 3)

Answer:

(-3,2)

Step-by-step explanation:

Brackets cannot be mixed with other types of punctuation like these { }, [ ]. Once you use a bracket, you have to close the sentence or equation with a closed bracket. Ex: (Like this) Maths equation: 3 x (4/5) + 19=