Marcos walled his dog around the outside of the dog park.
The park is a rectangle 88,5 meters long and 56.2
meters wide. What is the perimeter of the park?

Answer:

A. Minimum = 54, Q1= 69.5, Median = 75, Q3= 106, Maximum = 183

Step-by-step explanation:

Arranging the data set in order from least to greastest we get:

54, 68, 71, 72, 75, 84, 104, 108, 183

From this, we can see that the minimum value is 54 and the maximum value is 183.

Taking a number off one by one on each side of the data set gives the median. In the middle lies 75, so that is our median

To find quartile ranges, split the data set into two where the median lies, then, find the median of those two data sets. The medians will be the values of the upper (Q3) and lower quartiles (Q1).

Q1: 54, 68, 71, 72

68 + 71 = 139
139 ÷ 2 = 69.5

-----

Q3: 84, 104, 108, 183

104 + 108 = 212

212 ÷ 2 = 106

Option A is the only answer with all of these values, therefore, it is the answer.

hope this helps!

Answer:

175

Step-by-step explanation:

How would one find a three-digit number which is 5 times as large as the product of its digits?

100a + 10b +c = 5abc

This shows that c must be a multiple of 5. Since it is a digit, c=5 ( c=0 does not work ).

Then:

100a + 10b + 5 = 25ab

This again shows that 10b+5 is a multiple of 25.

By testing all the digits, b=2 or b=7.

If b=2, then

100a + 25 = 50a

which has the solution a= -1/2, not a digit.

if b=7

100a +75 = 175a

Now the solution is a=1, so finally the number is 175. Indeed, 175 = 5*1*7*5.

Does that answer your question..?

Answer:

A.

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

area of a triangle = h x b/2 which means ill do

8 x 8 = 64

then 64/2

32

8x8 (again) = 64

64+32 = 96

Answer:

96 in^2. Find the area of the square, then the area of the triangle. After that, add them together.

Step-by-step explanation:

First, let's find the area of the square:
A = lw
A = 8 x 8
A = 64

Now, let's find the area of the triangle.
A = 1/2lh
A = 1/2(8)(8)
A = 1/2(64)
A = 32

Now, all we have to do is add 64 and 32 to get the total area

64 + 32 = 96

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the unit rate , divide the total cost by number of books

Cost of 1 book = 26.25 ÷  3

                        = $ 8.75

Maria bought 3 books for a total of $26. 25. How much did each book cost ?

In this question it is given that Maria bought 3 books and the cost of 3 books is $26.25. We are asked to calculate the cost of 1 book.

We can find the cost of 1 book by dividing the total cost by number of books.

Cost of 1 book = $26.25 ÷ 3 = [tex]\dfrac{26.25}{3}[/tex] = 8.75

Cost of 1 book = $8.75

Cost of 3 books = 8.75 × 3 = $26.25

Hence, proved

Answer:

The answer for Q35 is : 176 cubic feet

Step-by-step explanation:

V = 16×3×2+16×5

= 96 + 80

= 176 cubic feet

Answer:

Answer choice B: 153

Step-by-step explanation:

Answer:

The option u chose is the correct one

Answer:

x= 81°

Step-by-step explanation:

the interior angles of a quadrilaterial add up to 360°

143+80+56+x=360

condense left side: 279+x=360

isolate x: 279-279+x=360-279

x= 81°

Answer:

x=3

Step-by-step explanation:

I took the test and I got it right but if you want an explanation  see bellow.

so triangle ABC is a 45- 45 -90 and we are given the hypotenuse of [tex]6\sqrt{2}[/tex]

and on a 45-45-90 triangle we know that the hypotenuse is always [tex]s\sqrt{2}[/tex] s  standing for the lengths of both of the legs since they are both equal, so this tells us that line segment AB and BC are equal to 6, SO triangle BCD hypotenuse is equal to 6.Triangle BCD is a 60-90-30 triangle as we can tell by the measures given, and in a 60-90-30 triangle the hypotenuse is equal to S and it's shorter length known as line segment BD on this triangle is equal to [tex]\frac{s}{2}[/tex] and since we know s=6 we can do [tex]\frac{6}{2}[/tex] giving us our answer 3.

Using the sine ratio and the cosine ratio, the value of x in the given triangle is calculated as: x = 6.

Using the sine ratio, find BC:

sin ∅ = opposite/hypotenuse

Given the following:

∅ = 45°

hypotenuse = 6√2

opposite = BC

Substitute:

sin 45 = BC/6√2

sin 45 = BC/6√2

√2 = BC/6√2 [sin 45 = √2]

BC = √2 * 6√2

BC = 12 units

Use the cosine ratio to find x:

cos ∅ = adjacent/hypotenuse

Thus, we have:

cos 60 = x/12

1/2 = x/12 [cos 60 = 1/2]

2x = 12

x = 6.

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Answer:

Step-by-step explanation:

The a line that is perpendicular to the reference line will have a slope that is the negative inverse of the slope of the reference line.  We'll look for a line that has the form y=mx+b, where m is the slope and b is the y-intercept. The reference line y=(4/3)x has a slope of (4/3) and a y-intercept of 0 (it crosses the y axis at x = 0).  

The negative inverse the the slope (4/3) would be -(3/4).

The new line will be y = -(3/4)x + b.  

To find point, use the given point and solve for b:

y = -(3/4)x + b

y = -(3/4)x + b   for point (4,2)

2= -(3/4)(4) + b

2= -3 + b

b = 5

The equation of the perpendicualr line is y = -(3/4)x + 5

See attached graph.

Answer:

-2

Step-by-step explanation:

Slope-intercept form: y = mx + b, in which:

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

~

Note the numbers that replace the given variables:

y = mx + b ; y = -2x + 5

y = y

m = slope = -2

x = x

b = y-intercept = 5

-2 is your answer for slope.

~

Answer:

The slope is -2.

Step-by-step explanation:

I hope this helps! :)
The formula is y=mx+b, where m (in the place of -2) is the slope.

-11+2(4x-1)+6

-11+8x-2+6

-13+8x+6

-7+8x

Answer:

The square root of an imperfect square

Step-by-step explanation:

Answer:

y = 3(x - 1)(x + 5)(x + 2)

Step-by-step explanation:

Given points:   (1, 0)   (-5, 0)   (-2, 0)   (-4, 30)

x-intercepts are when y = 0

Therefore, the x-intercepts are x = 1, x = -5 and x = -2

So (x - 1), (x + 5) and (x + 2) are all factors of the polynomial.

Therefore, the equation of the polynomial is:

y = a(x - 1)(x + 5)(x + 2)  where a is a constant to be found

To find the constant a, input the point (-4, 30) into the equation and solve:

⇒ a(-4 - 1)(-4 + 5)(-4 + 2) = 30

⇒ a(-5)(1)(-2) = 30

⇒ 10a = 30

⇒ a = 3

Therefore, the equation of the polynomial is:

y = 3(x - 1)(x + 5)(x + 2)

Answer:

[tex]3^{6-(-2)}[/tex]

Step-by-step explanation:

[tex]~~3^6 \div 3^{-2}\\\\\\=\dfrac{3^6}{3^{-2}}\\\\\\=3^{6-(-2)}[/tex]

Applying the pythagroean theorem, the formula to find the horizontal distance, d, is: [tex]\mathbf{d = \sqrt{h^2 - R^2} }[/tex]

The pyhagroean theorem is given as, c² = a² + b², where h is the longest side of the right triangle.

Given  the following:

The formula derived would be:

h² = d² + R²

Make d the subject fo the formula

[tex]\mathbf{d = \sqrt{h^2 - R^2} }[/tex]

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[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ g(t)= 20.9t\qquad \begin{cases} t_1=2\\ t_2=3 \end{cases}\implies \cfrac{g(3)-g(2)}{3-2}\implies \cfrac{20.9(3)~~ - ~~20.9(2)}{1} \\\\\\ 62.7~~ - ~~41.8\implies 20.9[/tex]

Answer:

21/20

20/29

21/20

20/29

21/29

20/21

Step-by-step explanation:

Use Soh Cah Toa for each, using the right equation for the right angle

e.g for sin(z) we use the opposite/adjacent for that angle

Answer:

The answer is given in the picture

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

x = 10/3 , y = 25/3

Step-by-step explanation:

Let's solve your system by substitution.

5x−2y=0 ; 5x+10y=100

Step 1: Solve 5x−2y=0 for x:

5x−2y=0

5x−2y+2y=0+2y (Add 2y to both sides)

5x=2y

5x=2y

5x/5=2y/5 (Divide both sides by 5)

x=2y/5 (Simplify)

Step 2: Substitute 2y/5 for x in 5x+10y=100:

5x+10y=100

5 2/5y +10y=100

12y=100 (Simplify both sides of the equation)

12y/12=100/12 (Divide both sides by 12)

y=25/3

Step 3: Substitute 25/3 for y in x=2/5y

x=2/5y

x=2/5 * 25/3

x=10/3 (Simplify both sides of the equation)

At the end we have the following answers :

x = 10/3

y = 25/3

Answer:

the answer is d because i have dont it b4

Step-by-step explanation:

Answer:

7(3j+8k)

Step-by-step explanation:

Answer:

y=f(x+9)-5

Step-by-step explanation:

to move the graph 9 units to the left, you would need to add 9 to the variable (which is x) - so that transformation for y=f(x) would look like this:

y=f(x+9)

then, to move the graph 5 units down, you would need to subtract 5 from f(x), so the transformation for y=f(x) that moves the graph 5 units down would be:  

y=f(x)-5

now, you would put that all together and it would look like this:

y = f (x+9) -5

i hope this helps.

Answer:

486kg

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

First I would get the area of the entire figure as if it were a Rectangle

10x7 = 70 Area if the figure was a rectangle.

We can form a triangle with the cut out space, the height of the triangle is 10-6 which is 4 and has a base of 7.

7x4= 28

28/2 = 14 Area of triangle cutout

Now you subtract the two figures

70-14= 56

56 Is the area

The area of the given shape is 56 square units.

The quantity of space within a two-dimensional figure or form is measured by its area. It is a number that describes the size or extent of a surface, like the surface of a flat plane or the contours of an area on a map.

First I would get the area of the entire figure as if it were a Rectangle

10x7 = 70 Area if the figure was a rectangle.

Form a triangle with the cutout space, the height of the triangle is 10-6 which is 4, and has a base of 7.

7 x 4= 28

28/2 = 14 Area of triangle cutout

Now you subtract the two figures

70-14= 56 Square units

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the probability that a woman selected at random has a blood pressure between 114 and 128 is 0.5588.

A z-table also known as the standard normal distribution table, helps us to know the percentage of values that are below (or to the left of the Distribution) a z-score in the standard normal distribution.

Given the mean is 121 while the standard deviation of the women is 9. Therefore, Using the z-table, the probability can be found.

(a) The probability that a woman selected at random has blood pressures greater than 136.

[tex]P(x > 136) = 1 - P(x < 136)\\\\P(x > 136) = 1 - P(z < \dfrac{x-\mu}{\sigma})[/tex]

                  [tex]=1 - P(z < \dfrac{136-121}{9})\\\\=1 - P(z < 1.667)\\\\=1-0.9515\\\\=0.0485[/tex]

(b) The probability that a woman selected at random has a blood pressure less than 114.

[tex]P(x < 114)= P(z < \dfrac{114-121}{9})\\\\[/tex]

                  [tex]= P(z < -0.77)\\\\= 0.2206[/tex]

(c) The probability that a woman selected at random has a blood pressure between 114 and 128.

[tex]P(114 < x < 128)= P(\dfrac{114-121}{9} < z < \dfrac{128-121}{9})\\\\[/tex]

                  [tex]= P(-0.77 < z < 0.77)\\\\= P(z < 0.77)-P(z < -0.77)\\\\= 0.7794 - 0.2206\\\\=0.5588[/tex]

Hence, the probability that a woman selected at random has a blood pressure between 114 and 128 is 0.5588.

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It is true that you are required to keep a Driving Log and record a minimum of 60 hours of driving time, while on level 1

There are 5 requirements a driver must fulfil before progressing to level 2 of learner permit.

One of these requirements is that the driver must spend at least 60 hours driving.

This means that the minimum driving time is 60 hours

Hence, the statement is true

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