find the slope of the line shown​

Answer:

The length of its diagonal is [tex]27.01\ m[/tex]

Step-by-step explanation:

Let

b------> the length side of the square

d-----> the diagonal of the square

we know that

The perimeter of the square is

[tex]P=4b[/tex]

[tex]P=76.4\ m[/tex]

Find the value of b

[tex]4b=76.4[/tex]

[tex]b=76.4/4=19.1\ m[/tex]

Applying the Pythagoras theorem find the length of the diagonal

[tex]d^{2}=19.1^{2}+19.1^{2}\\ \\d^{2}=729.62\\ \\ d=27.01\ m[/tex]

The length of the diagonal of a square is approximately 27.02m.

The perimeter of a square is the total length of all four sides of the square. Since we know that the perimeter is 76.4 meters, we can calculate the length of one side by dividing the perimeter by 4.

Length of one side = Perimeter ÷ 4 = 76.4m ÷ 4 = 19.1m.

To find the length of the diagonal, we can use the Pythagorean theorem for a square, which is a² + a² = diagonal². Here, a is the length of one side of the square. Thus, diagonal² = 2 × (19.1m)².

Diagonal = √(2 × (19.1m)²) = √(2 × 364.81m²) = √729.62m² = 27.02m (rounded to two decimal places).

Therefore, the length of the diagonal of the square is approximately 27.02 meters.

Answer: 11

Step-by-step explanation:

Add the numbers together to get 68, then divide it by 6 to get your answer! Sorry if I'm wrong!

Mean: 11.3

Median: 12.5

✧･ﾟ: *✧･ﾟ:*    *:･ﾟ✧*:･ﾟ✧

                  Hello!

✧･ﾟ: *✧･ﾟ:*    *:･ﾟ✧*:･ﾟ✧

❖ The ratios in SIMPLEST FORM are:

1:3

3:55

55:1

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

To write the ratios in simplest form, find the greatest common divisor (GCD) of the two numbers in each ratio and divide both numbers by the GCD.

The ratios we need to write in simplest form are:

1. Students to teachers = 550:30

2. Students to aids = 550:10

To write these ratios in simplest form, we need to find the greatest common divisor (GCD) of the two numbers in each ratio and divide both numbers by the GCD.

1. Students to teachers = 55:3

2. Students to aids = 55:1

Answer:

75 minutes

Step-by-step explanation:

The number of minutes for Mia to finish her homework is A = 30 minutes

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

If Mia finished 60% of her homework in 45 minutes, that means she has 40% of her homework left to complete.

Let x be the number of minutes it takes Mia to complete all of her homework:

So , the proportion is

60% completed / 45 minutes = 40% left / A minutes

To solve for A , we can cross-multiply:

60% completed x A minutes = 45 minutes x 40% left

0.6A = 18

Dividing both sides by 0.6 , we get

A = 30

Hence , it will take Mia 30 minutes to complete all of her homework

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ2

The scale factor of two means you need to multiply the original length by 2:

9 x 2 = 18

The new length would be 18 cm.

Answer:

Step-by-step explanation:

1. 6(7) +5

= 6x7 + 5

=  47

2. A =1/2 bh

= 1/2 x 18 x 6

= 54 squared inches

3. V = l x w x h

= 6 x 3 x 4

72 cubic inches

4. C

The solution is done on your page

The surface area of a rectangular prism can be found using the formula A = Ph + 2B. This utilizes the perimeter, P, and area, B, of the base, as well as the height, h, of the prism.

The surface area (A) of a rectangular prism can be given as: A = Ph + 2B, where P is the perimeter of the base, h is the height of the prism, and B is the area of the base. This formula is derived by adding the areas of all six sides of the prism, two of which have area B and the other four having an area of Ph/2. Therefore, to calculate the surface area, simply substitute the known values for P, h, and B into the formula and perform the arithmetic operation.

https://brainly.com/question/12359624

SPJ12

The formula for the surface area of a rectangular prism using the height, perimeter of the base, and area of the base is 2B + Ph.

The formula for the surface area of a rectangular prism can be expressed using the given variables:

Surface Area = 2B + Ph

Where:

For example, if the area of the base is 10 square units, the perimeter of the base is 20 units, and the height of the prism is 5 units, the surface area would be:

Surface Area = 2(10) + (20)(5) = 20 + 100

= 120 square units

https://brainly.com/question/36027675

#SPJ12

Answer:

The answer is 30.044 Hope this Helps!

Step-by-step explanation:

You have to line up the decimal points when adding decimals.

Answer:

The answer is 30.044.

Step-by-step explanation:

When ever adding decimals you always have to line them up.  

 24.566

+   5.478  This is how it's written.

Hope this helps.

E=20.25x+y is the equation

Larry's earnings, represented by E, when he works x hours and has y dollars in sales, is calculated by his hourly wage ($20.25 per hour) plus an 8% commission on his sales, which results in the equation E = 20.25x + 0.08y.

To calculate Larry's earnings E based on his hourly wage and sales commission, we need to consider both parts of his earnings: his hourly rate and his commission rate. The equation that represents Larry's earnings when he works x hours and has a total of y sales in dollars will include the hourly earnings plus a percentage of his sales.

Larry earns $20.25 per hour, so his earnings from hours worked would be 20.25 times the number of hours worked, which is 20.25x.

Additionally, Larry earns a commission of 8% on his sales. To calculate this, you need to convert the percentage to a decimal by dividing by 100 (8% becomes 0.08) and then multiply by the total sales y, resulting in 0.08y.

The total earnings E would therefore be the sum of his hourly earnings and his sales commission, which gives us the equation E = 20.25x + 0.08y.

Answer:

8

Step-by-step explanation:

Answer:

A: y = 4x + 7

Step-by-step explanation:

Step 1:  Our line is parallel to this line, so it has the same slope, but a different  y-intercept, so set up the equation...

  y = 4x + b      

We are given a  point (x, y) of (2, 15), so plug that in and solve for b.  

 15 = 4(2) + b

    15 = 8 + b      (simplify)

        7 = b      (subtract 8 from both sides to isolate b)

So the equation of our line is  y = 4x + 7

Step-by-step explanation:

the answers is A. y=4x+7

Answer:

-1

Step-by-step explanation:

3 • 7 = 21

Find two factors of 21 whose sum equals the coefficient of the middle term, which is -1 .

-21 + -1 = -22

-1 + -21 = -22

1 + 21 = 22

21 + 1 = 22

Answer:

Can not be factorized further

Step-by-step explanation:

Here we are asked to factorize the expression [tex]3x^2+x+7[/tex]

In order to factorize a quadratic polynomial , we have to follow the following steps.

step 1. We have to find the product of coefficient of [tex]x^2[/tex] and the constant term. In this case the coefficient of [tex]x^2[/tex] is 3 and constant term is 7. Hence the product is 3*7=21

Step 2: Now we have to find all the possible factors of this product. In our case the factors will be

21=1*21

21=3*7

Step 3: We have to select one pair of those factors such that their sum or difference is equal to the coefficient of middle term that is [tex]x[/tex] . In this case it is 1. And we can see that in our polynomial , none of the pair gives you 1 either as sum or difference.

As there does not exist any such pair , it can not be further factorize.

Answer:

This is an independent event, as the marble is put back into the bag. If it were removed completely, it would be dependent.

Answer:

The right answer is dependent events

Step-by-step explanation:

Answer:

V = \pi r^2h

When the radius is doubled, then

V=\pi (2r)^2h=4\pi r^2h

Therefore, when the radius is doubled, it volume will be four times as much.

Step-by-step explanation:

Answer: four times as much

Step-by-step explanation:

The volume of a cylinder is given by :-

[tex]V=\pi r^2h[/tex], where r is the radius and h is the height of the cylinder.

If the radius of this cylinder is doubled, then the radius of the new cylinedr will be:

R=2r

Now, the volume of the new cylinder is given by :-

[tex]V_1=\pi (2r)^2h\\\\\Rightarrow\ V_1=\pi(4r^2)h\\\\\Rightarrow\ V_1=4\pi r^2h\\\\\Rightarrow\ V_1=4(\pi r^h)\\\\\Rightarrow\ V_1=4(V)[/tex]

Hence, If the radius of cylinder is doubled, its volume will be four times as much.

Answer:

x = 8.9

Step-by-step explanation:

We can see in the problem that the diameter is 37.8.

Radius is 1/2 of the diameter.

d = 2r

So in this problem r = 37.8/2 or r = 18.9.

Then you can see that the given side of the triangle is 10.

Since we know that that line is also the radius since it goes from the edge of the circle to the center, we can just subtract 10 from 18.9 to get 8.9.

Answer:

A=bh=24*8=192

V=2(wl+hl+hw)=2·(4·3+15·3+15·4)=234

A=1311(big rectangle ---> (31-12)69)+2(12 x 23 ---> because of the two smaller rectangles=1311+552=1863

Step-by-step explanation:

algebra

The answer is 192 square inches.

Answer:

192 square inches.

Step-by-step explanation:

Answer:

The triangles are similar by AA Similarity Postulate

Step-by-step explanation:

we know that

In the triangle ABC

m∠CAB=65°

m∠ABC=m∠CAB

so

m∠ABC=65°

Find the measure of angle ACB

Remember that

The sum of the internal angles in a triangle must be equal to 180 degrees

so

m∠ACB+m∠ABC+m∠CAB=180°

substitute the values

m∠ACB+65°+65°=180°

m∠ACB=180°-130°=50°

In the triangle DEF

m∠FDE=m∠CAB=65°

m∠DFE=50°

Find the measure of angle DEF

Remember that

The sum of the internal angles in a triangle must be equal to 180 degrees

so

m∠DEF+m∠FDE+m∠DFE=180°

substitute the values

m∠DEF+65°+50°=180°

m∠DEF=180°-115°=65°

therefore

m∠CAB=m∠FDE=65°

m∠ABC=m∠DEF=65°

m∠ACB=m∠DFE=50°

so

The three internal angles of the triangles are congruent

therefore

The triangles are similar by AA Similarity Postulate

go 6 to the left of 0 and 10 up from -6

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

You cannot describe the rectangle with an expression

What I can do is describe the area.

l(3/8l)

Also perimeter.

2l+2(3/8l)

Answer:

The answer is the second option.

B.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Choice D is correct;

r = -0.953

Step-by-step explanation:

r-value refers to the correlation coefficient between two sets of data and is use to assess the degree of association between two variables.

The value can be calculate manually or by use of software. In this case I employed the correlation function in Ms. Excel an the output is shown in the attachment below.

The function to use is; = correl

Answer:

One

Step-by-step explanation:

The graphs of these two equations intersect at one point.  This means there will only be one solution to the system.

The count of point of intersection of a graphed system of equation is the number of its solution.

The number of solution is (b) one

From the attached graph, we observe that:

The system equations on the graph have just one point of intersection.

This means that the number of solution of the system of equations is one.

Hence, the correct option is (b) one.

Read more about system of equations at:

https://brainly.com/question/12895249

Answer:

D

Step-by-step explanation:

1. When a number is divisible by 2 it must end with even digit 0, 2, 4, 6 or 8.

So the number 24,515 is not divisible by 2.

2. When a number is divisible by 5 it must end with  digit 0,  or 5.

The number 24,515 ends with 5 so it is divisible by 5.

3. When a number is divisible by 3, the sum of all digits must be divisible by 3.

The sum of all digits of the number 24,515 is 2+4+5+1+5=17. 17 is not divisible by 3, so the number 24,515 is not divisible by 3.

4. When a number is divisible by 9, the sum of all digits must be divisible by 9.

The sum of all digits of the number 24,515 is 2+4+5+1+5=17. 17 is not divisible by 9, so the number 24,515 is not divisible by 9.

5. When a number is divisible by 10 it must end with  digit 0.

The number 24,515 ends with 5 so it is not divisible by 10.

Answer:

The solution in point form is (9,7) and the equation would be x+9, y=7

Step-by-step explanation:

By using moving the -4y to the right side and by flipping the signs you can turn the equation -x-4y=-37 into x=37-4y.

With this new equation you can use the substitution method and replace the x in -2x-5y=-53 with 37-4y, making it look like this: -2(37-4y)-5y=-53.

Then you solve for y getting y=7.

With the value of y, you can plug that into the equation x=37-4y so it will look like x=37-4(7)

Then you solve for x getting x=9

And with that you get the point (9,7)

Step-by-step explanation:

2) Slope can be written as rise over run:

[tex]a) Slope=-1\ over\ 1\quad \rightarrow \quad (11 + 1, -8 - 1)\implies (12, -9)\\b) Slope=7\ over\ 2\quad \rightarrow \quad (2+2,2+7)\implies (4, 9)\\c) Slope=9\ over\ 4\quad \rightarrow \quad (-5+4,-2+9)\implies (-1, 7)[/tex]

3) Slope formula is: [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]slope=\dfrac{15-3}{5-1}=\dfrac{12}{4}=\boxed{3}[/tex]

4) Average rate of change is the slope of the given interval:

a) when x = 0, y = 0 and when x = 1, y = -3

   [tex]Slope=\dfrac{-3-0}{1-0}=\dfrac{-3}{1}=-3[/tex]

b) when x = -2, y = 0 and when x = -1, y = 3

   [tex]Slope=\dfrac{3-0}{-1+2}=\dfrac{3}{1}=3[/tex]

c) when x = 0, y = 0 and when x = 2, y = 0

   [tex]Slope=\dfrac{0-0}{2-0}=\dfrac{0}{2}=0[/tex]

Answer:

D (3,1)

Step-by-step explanation:

solving simultaneous equations

Arrange equations

2x+y=7

3x-4y=5

make y side cancell by addition by multiplying by 4 and 1 as shown

4{2x+y=7}

1{3x-4y=5}

8x+4y=28

3x-4y=5

11x=33

x=33/11=3

substitute for x=3 in 3x-4y=5

9-4y=5

4=4y

y=1

Answer:

D(3,1)

Step-by-step explanation:

The given equations are:

[tex]2x+y=7...(1)[/tex]

and

[tex]3x-4y=5...(2)[/tex]

Multiply equation (1) by 4.

[tex]\Rightarrow 8x+4y=28...(3)[/tex]

Add equation (2) and (3)

[tex]\Rightarrow 11x=33[/tex]

Divide through by 11.

[tex]\Rightarrow x=3[/tex]

Put x=3 into equation (1)

[tex]2(3)+y=7[/tex]

[tex]6+y=7[/tex]

[tex]y=7-6[/tex]

[tex]y=1[/tex]

The solution is (3,1)

The correct choice is D

Answer:84 degrees

Step-by-step explanation:

so if a triangle is 180 degrees in total you need to find how much you need to equal that so you add 59+37=96 degrees so then you will subtract 180-96=84 degrees

Your welcome!

Answer:

y = 6

Step-by-step explanation:

We are to find the equation of the horizontal line which passes through the point (-4,6).

Since the line is horizontal so the slope will be zero and the equation will be [tex] y = c [/tex] for some constant [tex] c [/tex].

We know that the line passes through the point (-4,6) so the constant [tex] c [/tex] will be 6 at all points on the line.

Therefore, the equation of the horizontal line will be y = 6.

ANSWER

[tex]y = 6[/tex]

EXPLANATION

The equation of a horizontal line passing through:

[tex](x_1,y_1)[/tex]

is given by

[tex]y=y_1[/tex]

The equation of the horizontal line through (-4,6) is

[tex]y = 6[/tex]