Use the Pythagorean theorem and the square root property to solve the following problem . Express your answer in simplified radical form . Then find the decimal approximation to the nearest tenth . A rectangular park is 10 miles long and 5 miles wide . How long is a pedestrian route that runs diagonally across the park

Answer:

Answer is below

Step-by-step explanation:

21 + 5f = 61       Turn the words into an equation

-21        - 21       Subtract 21 from both sides

5f = 40              Divide both sides by 5

f = 8

If this answer is correct, please make me Brainliest!

Answer:

[tex]f = 8[/tex]

Step-by-step explanation:

[tex]21 + 5f = 61 \\ 5f = 61 - 21 \\ 5f = 40 \\ \frac{5f}{5} = \frac{40}{5} \\ f = 8[/tex]

Answer:

X>-3

Step-by-step explanation:

Hope I helped

Do u want the steps ?

Answer: x > -3

Step-by-step explanation: -5(4x + 7) <25

                                              -20x - 35 < 25

                                              -20x -35 + 35 < 25 + 35

                                              -20x/20 < 60/20

                                              x > -3

Answer:

9

Step-by-step explanation:

Not sure if it is right, don't at me :)

9514 1404 393

Answer:

Step-by-step explanation:

The area of each triangular face is given by the formula ...

  A = 1/2bh

The triangular faces have a base of b=8 cm, and a height of h=6 cm. Their area is ...

  A = 1/2(8 cm)(6 cm) = 24 cm²

__

Each of the rectangular faces has a length of 20 cm. The width depends on which face is of interest. In each case, the area is given by ...

  A = LW

Bottom face: A = (20 cm)(8 cm) = 160 cm²

Back face: A = (20 cm)(6 cm) = 120 cm²

Sloped face: A = (20 cm)(10 cm) = 200 cm²

__

The total area is the sum of the areas of all of the faces and bases. There are two triangular bases, so the total area is ...

  (2×24 + 160 +120 +200) cm² = 528 cm²

Answer:

6.

Step-by-step explanation:

2.3 repeating = 2 1/3

So 3 2/3 + 2 1/3

= 5 + 1

= 6.

Answer: 6

Step-by-step explanation:

[tex]3\frac{2}{3}+2.3^-[/tex]

Let's begin by converting the repeating decimal to a fraction and then to a mixed number.

Take the number:

[tex]2.3^-[/tex]

Let x (our result) be equal to that number.

[tex]x=2.3^-[/tex]

Multiply by 1 followed by as many zeros as repeating decimals; in this case 1. Therefore, 10.

[tex]10x=2.3^-*10[/tex]

This basically moves the decimal point one number to the right and since we have infinite 3's, we simply move 1 three and add another.

[tex]10x=23.3^-[/tex]

Subtract this and the original equation ([tex]x=2.3^-[/tex])

[tex]10x=23.3^-\\-x=2.3^-[/tex]

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

10 - 1 = 9 and we have the same infinite repeating number 3, therefore they cancel out, leaving 23-2 = 21

[tex]9x=21[/tex]

Divide by 9

[tex]x=\frac{21}{9}[/tex]

Simplify by 3.

21/3=7

9/3=3

[tex]x=\frac{7}{3}[/tex]

Now, convert to a mixed number. To do this, divide.

7/3=2

6

-------

1

The 2 is the whole number, 1 is the numerator and 3 the denominator.

[tex]2\frac{1}{3}[/tex]

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

Now we can solve this;

[tex]3\frac{2}{3}+2\frac{1}{3}[/tex]

Add the whole numbers and the fractions separately.

[tex](3+2)+(\frac{2}{3}+\frac{1}{3})[/tex]

[tex]5\frac{3}{3}[/tex]

3 and 3 can be simplied.

3/3=1

3/3=1

[tex]5\frac{1}{1}[/tex]

The result is 1, add this to the 5.

[tex]5+1=6[/tex]

Answer:

The numbers are suppose to be natural numbers that is positive integers form 1 upward. So the numbers will be 5 and 6.  

Step-by-step explanation:

The product of 2 consecutive natural numbers is 19 greater than their sum . We need to understand important terms in this question like consecutive and natural numbers.

Consecutive numbers are numbers that follows each other continuously from smallest to largest.  Natural numbers are numbers that includes all the positive numbers from 1 to infinity example 1, 2, 3, 4............infinity.

Let the consecutive number be a and a+1.

The product of this 2 numbers are when you multiply them. Therefore,

a(a + 1) = a² + a

The sum of the 2 numbers are their addition. Therefore,

a + (a + 1) = 2a + 1

The product is 19 greater than the sum. This means the product of this numbers minus the sum of this numbers is equals to 19.

a² + a - (2a + 1) = 19

a²+ a - 2a - 1 = 19

a²- a - 20 = 0

Find the numbers that can be multiplied to get -20 and added together to get -1. The numbers are 4 and -5

a² + 4a - 5a - 20  = 0

a(a + 4) - 5(a + 4) = 0

(a + 4)(a - 5) = 0

a = - 4 and a = 5

The numbers are suppose to be natural numbers that is positive integers from 1 upward. So the numbers will be 5 and 6.  

To prove it

5 × 6 = 30(products)

5 + 6 = 11(sum)

30 - 11 = 19

Answer:

  31 ft

Step-by-step explanation:

The statue represents the side of a right triangle that is opposite the angle of elevation. The distance to the statue represents the side adjacent to the angle. Then ...

  Tan = Opposite/Adjacent

  tan(61°) = h/(17 ft)

Multiplying by 17 ft, we have ...

  h = (17 ft)tan(61°) ≈ 30.67 ft

  h ≈ 31 feet

Answer:

Maybe

Step-by-step explanation:

8 possibly could be a number

Answer:no, (5,1) is not a solution for the equation. (1/7,1) will be a solution for the equation.

Step-by-step explanation:

one way to do it is to plug 1 as the y-value into the first equation which does work but when you plug 5 as the x-value and 1 as the y-value in the second equation, it will get you to 41 which does not match so it will not be an equation. the other way to check is to solve by substitution which for the first equation, you divide both side by -5 and get y=1 then substitute y with 1 in the second equation and subtract both side by 6 and get 7x=1 and divide both side by 7 to get 1/7. the y-value match but the x-value don't so (5,1) is not a solution.

Answer: We concluded that annual income and education level are not independent.

Step-by-step explanation:

For the given situation, the null and alternate hypothesis can be formulated as:

[tex]H_0:[/tex] annual income and education level are independent.

[tex]H_a:[/tex] annual income and education level are not independent.

Given,  the value of test statistic is 24.32 and the critical value of test statistics is 13.32.

i.e. the test statistic value is greater than the critical value, thus we have enough evidence to reject the null hypothesis.

Therefore, we reject null hypothesis .

So , we concluded that annual income and education level are not independent.

Step-by-step explanation:

1.

   First blank: total amount of outcomes

2.

   since there's four possible outcomes: (Head-Head, Head-Tail, Tail-Head, and Tail-Tail) Mason should expect to win 1/4 of the time, or roughly 50 times.

3.

   a) F

   b) F

   c) T

   d) T

   e) T

    f) T

4.

17/36, because 17 of the answers are greater than 10 and there are 36 total answers.

Sorry I didn't answer all of them, hopefully this still helps!

Goodluck with your schoolwork/homework!

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

Apologies in advance for any errors/bad explanations.

Answer:

9π cm - exact value

28.26 cm - approximate value

Step-by-step explanation:

C = πd =9π cm - exact value

or

C=9π≈ 28.26 cm - approximate value

Answer:

(24 + 12) x 2 = 72 inches

Answer:

D.

Step-by-step explanation:

Given: Dimensions of a rectangular prism are [tex]7.5\,\,inches,3\,\,inches\,,\,11.5\,\,inches[/tex]

To find: total surface area of the rectangular prism in square inches

Solution:

Length of the rectangular prism (l) = 7.5 inches

Breadth of the rectangular prism (b) = 3 inches

Height of the rectangular prism (h) = 11.5 inches

Total surface area of the rectangular prism = 2(lb+bh+hl)

= [tex]2(7.5\times3+3\times11.5+11.5\times7.5 )[/tex]

[tex]2(7.5\times3+3\times11.5+11.5\times7.5 )=2(22.5+34.5+86.25)\\=2(143.25)\\=286.5\,\,square \,\,inches[/tex]

So, option D is correct

Answer:

D! I got it correcttt

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

15 plus 6 equals 21

21 divided by 3 is 7

Answer:7

Step-by-step explanation:

sum of 15 and 6

15+6=21

1/3 Of The sum

1/3 of 21

1/3 x 21

(1x21)/3

21/3=7

Answer: m = -2.

The given equation is: [tex]\frac{m}{m+4}+\frac{4}{4-m}=\frac{m^{2}}{m^{2}-16}[/tex].

The LCM of the denominators = [tex]m^{2}-16=(m+4)(m-4)[/tex].

We multiply both sides by LCM.

[tex]\left(m+4\right)\left(m-4\right)\left(\frac{m}{m+4}+\frac{4}{4-m}\right)=\left(m+4\right)\left(m-4\right)\cdot\frac{m^{2}}{m^{2}-16}[/tex]

[tex]m\left(m-4\right)-4\left(m+4\right)=m^{2}[/tex]

[tex]m^{2}-4m-4m-16=m^{2}[/tex]

[tex]8m=-16\\m=-2[/tex]

Learn more: https://brainly.com/question/13769924

Answer:

M=-2 B

Step-by-step explanation:

trust me i took the quiz

a sample that excludes subjects that are not part of the population being measured.

Answer:

1.  Understand your problem

2. Gather your resources

3. Come to an answer

4. Check your answer and present the solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3x + 4y = -18

8x - 4y =   28

5x = 10

x = 2

4 - y = 7

-y = 3

y = -3

(2, -3)

The solution of the system of linear equations given is (2,-3), the correct option is C.

The system of linear equation is set of equations which have a common solution.

The equations are

-3x+4y = -18

2x-y =7

The linear equations can be solved using substitution method

y = 2x -7 from equation 2 will be substituted in equation 1

-3x +4 ( 2x -7) = -18

-3x +8x -28 = -18

5x = 10

x = 2

y = 2 * 2 -7 = -3

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Answer:

Cylinder

Step-by-step explanation:

Answer:

cylinder

Step-by-step explanation:

Answer:24

Step-by-step explanation:

fdgwgwrgwg

Answer:

~ 1.25 centimeters of the snowflake in real life ~

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. Given the information, let us create a proportionality as such:

      12       =           1      ⇒   x - centimeters of the snowflake in real life

      15                   x

2. Now let us cross multiply, and solve through simple algebra for x:

15 = 12 * x

x = 1.25 centimeters of the snowflake in real life

Answer: I believe the answer you're looking for is absolute value

I hope this helps!!!

Answer:proved

Step-by-step explanation:

Sum of interior angles of a polygon=180

Sum of interior angles of a polygon=180(n-2)

n=number of sides

a triangle have 3 sides n=3

Sum of interior angles of a triangle=180(3-2)

Sum of interior angles in a triangle=180 x 1

Sum of interior angles in a triangle=180°

Answer:

im adding the completed one to all of the questions

Answer:

The man has been dead for 9 days. This is because this is the only day on the chart where all the types of insects coexist.

Step-by-step explanation:

5 species of insects were found at the same time alive on the dead man's body.

These 5 insects are then sent to the lab to be studied and larvae/eggs from them, raised under similar conditions to the conditions of the dead body.

The activity the eggs are them studied and presented in the chart provided

Insect/Day 1 2 3 4 5 6 7 8 9 10

Blowfly 1 1 1 1 1 1 1 1 1 0

Species A 0 0 0 0 1 1 1 1 1 1

Species B 0 0 0 0 0 0 1 1 1 0

Species C 0 0 0 0 0 0 0 0 1 1

Species D 0 0 0 0 0 1 1 1 1 1

Note that 0 represents a non-activity on the part of the egg of the insect specie.

From the chart, the first time all 5 insects coexist together at the same time just like they were found in the dead body is on the 9th day. Before the 9th day, all 5 insects do not coexist at the same time and even beyond the 9th day, on the 10th day, insect specie B stops existing.

So, it is evident that the man has been dead for 9 days as that's the only day on the chart where all the types of insects coexist.

Hope this Helps!!!

Answer:

  see below

Step-by-step explanation:

First of all, you want to find the data set the matches the extreme values of 5 and 35. That eliminates the 2nd and 4th choices.

Then you want to find the data set that has a median of 15. The first data set has a middle value (median) of 20, so that choice is eliminated.

The data set of the 3rd choice matches the box plot extremes, median, and quartile values.

Answer:

The third choice, (5, 6, 10, 12, 13, 15, 17, 25, 30, 35) would be your best answer.

Step-by-step explanation:

Answer:

It will take 50 minutes take if you travel 40 miles per hour

Step-by-step explanation:

The driving time varies inversely with the speed of the car i.e.

[tex]t\propto \dfrac{1}{v}[/tex]

or

[tex]\dfrac{t_1}{t_2}=\dfrac{v_2}{v_1}[/tex]

We have,

[tex]t_1=40\ min\\\\v_1=50\ mph\\\\v_2=40\ mph\\\\t_2=?[/tex]

Plugging all the values, we get :

[tex]t_2=\dfrac{t_1v_1}{v_2}\\\\t_2=\dfrac{40\times 50}{40}\\\\t_2=50\ min[/tex]

So, it will take 50 minutes take if you travel 40 miles per hour.

The number of minutes would it take if you travel 40 miles per hour is 50 minutes.

Since if a certain trip takes 40 minutes when you travel 50 miles per hour

So, the time for 40 miles per hour should be

[tex]= 40\times 50\div 40[/tex]

= 50 minutes

Therefore, The number of minutes would it take if you travel 40 miles per hour is 50 minutes.

Learn more about time here: https://brainly.com/question/24723699

Answer:

1 and kmn

Step-by-step explanation:

Prime numbers are numbers that are divisible by themselves only.

Example:

k- 1 and k are the factors

Answer:

1,

k*m*n,

k*m,

m*n,

k*n,

k,

m,

n

Step-by-step explanation:

Answer:

For part C I got n = negative 1 plus or minus the square root of 145, everything divided 4.

Step-by-step explanation:

My part A and B were the same as the persons above answer.

(A) The least common denominator of the equation is  ±√2 - 2.

(B) The value of n = ±√2 - 2 must be excluded from the list of possible solutions.

(C) The solution of the equation 1 + n + 6 / n + 1= 4 / n - 2 is ±√2 - 2.

What is an equation ?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

1 + n + 6 / n + 1= 4 / n - 2.

(A)

The least common denominator of the equation is n.

(B)

The value of n must be excluded from the list of possible solutions.

(C)

To find the solution for the given equation,

Solve the equation,

2 + n + 6/n - 4/n + 2 = 0

4 + n + 2/n = 0

4n + n² + 2 = 0

n² + 4n + 2 = 0

n² + 4n + 4 + 2 - 4 = 0

(n + 2)²  = 2

n + 2 = ±√2

n = ±√2 - 2

The required value of n is ±√2 - 2.

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Answer:

$27.98

Step-by-step explanation:

100 - 30 in price %=70%

Price will be 70% of original regular price

$39.98 * .7 = answer

Answer:

Discount is $11.99

Total is now $27.99

Step-by-step explanation:

To find the discount, you find out what 30% is of 39.98, so you multiply

39.98 x 30%(or .3) = 11.994

39.98- 11.99= 27.99