Mark is building a sandbox inside a play area. How much play area remains outside of the sandbox?

Answer:

24

Step-by-step explanation:

[4 / 5 ] * 30 = 24

Answer:

24

Step-by-step explanation:

To get the answer you have to multiply the 4/5 x 30 to get the answer

Answer:

y-y1=m(x-x1)

y-2=1/3(x-3)

y=1/3x+1

Answer:

[tex]m^{2} n^{2} - mn-11[/tex]

Step-by-step explanation:

Simplify the expression.

Answer:

275°

Step-by-step explanation:

-445+360=-85+360=275°

Answer:

correct option if Option D

Answer:

The answer is B.

Step-by-step explanation:

It can't be A, C, or, D because if the polygons were in a certain position, those transformations wouldn't work.

The definition of a rigid transformation is either a translation, rotation, or reflection. Therefore it must be B.

Sorry about how vague this is. It's hard to explain this without diagrams.

Answer:

meta beta

Step-by-step explanation:

diem ryugudnhkng.

Answer:

Step-by-step explanation:

Voir le diagramme ci-attaché.

1) Distance EG

À l'aide du théoreme Pythagore, EG^2 = EF²+FG² = 4²+3² = 25

=>  EG = sqrt(25) = 5

2) Distance SO

Par la symétrie, EO=OG=(EG/2)=5/2 = 2.5

Encore, à l'aide du même théoreme,SE^2 = SO²+EO²

SO^2 = SE² - EO² = 6.5²-2.5² = 42.25 - 6.25 = 36

SO = sqrt(36) = 6  QED

3) Volume de la pyramide

V = (Aire de la base * hauteur ) /3

= (EF * FG) * SO /3

= (4*3) * 6 /3

= 24 cm³

Answer:

perpendicular

Step-by-step explanation:

parallel => both lines have the same value of slope

perpendicular => the product of both slope values are -1

=> -8/9 x 9/8 = -1

If Line q has a slope of -8/9 , Another line r has the slope of 9/8.Then both lines are perpendicular but not parallel

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Two lines are parallel when the slope of two lines is same, so 1 and r are not parallel.

Two lines are said to be perpendicular when the product of two slopes is minus 1.

Line q has a slope of -8/9

Let m₁=-8/9

r has the slope of 9/8

m₂=9/8

Now let us multiply  m₁ and m₂

m₁ ×m₂

-8/9×9/8

-1

The product of slopes of q and r is -1. The lines are perpendicular.

Hence Line q and line r are perpendicular but not parallel.

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Answer:

well, we only no that

2l + 2w is 80

(lengths and widths on all 4 sides

and that w * l is A

so the function should be w times what's left for l, but also expressed by something with w

2l + 2w = 80 | -2w

2l = 80 -2w | devide by 2

l = 80 - w

now we can substitute l in

A = w * l

so that we only need w's

A(w) = w * (80-w)

for any w it will give us the area, makes only sense for 0<w<80

Answer:

13, 14

Step-by-step explanation:

The parameters of the numbers are;

A whole number value = 2 × Another number + 6

The sum of the two numbers is less than 50

Given that the first number is equal to more than twice the second number, we have that the first number is the larger number, while the second number is the smaller number

Where 'x' represents the second number, we get;

x + 2·x + 6 < 50

Simplifying gives;

3·x + 6 < 50

x < (50 - 6)/3 = 14.[tex]\overline 6[/tex]

x < 14.[tex]\overline 6[/tex]

Therefore, the numbers for which the inequality holds true are numbers less than 14.[tex]\overline 6[/tex]. From the given option, the numbers are 13, and 14.

Answer:

Option (1)

Step-by-step explanation:

To calculate the volume of the given pyramid,

Formula to be used,

Volume = [tex]\frac{1}{3}(\text{Area of the triangular base)}(\text{Height})[/tex]

Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                             = [tex]\frac{1}{2}(9)(15)[/tex]

                                             = 67.5 cm²

Now volume of the pyramid = [tex]\frac{1}{3}(67.5)(32)[/tex]

                                               = 720 cm³

Therefore, Option (1) will be the correct option.

Answer:

26 m

Step-by-step explanation:

Find what length is needed for fencing by finding the perimeter of the land.

Use the perimeter formula, P = 2l + 2w

Plug in the length and width:

P = 2l + 2w

P = 2(8) + 2(5)

P = 16 + 10

= 26

So, the length of wire needed is 26 m

Answer:

x = -6

Step-by-step explanation:

-5x + 1 = 31

Subtract 1 from each side

-5x + 1-1 = 31-1

-5x = 30

Divide by -5

-5x/-5 = 20/-5

x = -6

Answer:

x = - 6

Step-by-step explanation:

- 5 x + 1 = 31

subtract 1 from 31

- 5 x = 31 - 1

- 5 x = 30

Divide 30 by - 5

x = 30 / - 5

x = - 6

Answer:the one to the left

Step-by-step explanation:

Answer:

y = 1/2

Step-by-step explanation:

Varies inversely

xy = k

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

Find the constant of variation

y = 39 when x = 1/3

k = 1/3 * 39

k = 13

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

what is the value of y when x=26

26y = 13

y = 13/26

y = 1/2

Answer:

y = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given y varies inversely with x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = 39 when x = [tex]\frac{1}{3}[/tex] , then

39 = [tex]\frac{k}{\frac{1}{3} }[/tex] ( multiply both sides by [tex]\frac{1}{3}[/tex] )

[tex]\frac{1}{3}[/tex] × 39 = k

13 = k

y = [tex]\frac{13}{x}[/tex] ← equation of variation

When x = 26 , then

y = [tex]\frac{13}{26}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

69.47%

Step-by-step explanation:

Calculation to determine Find the percent of markup

Using this formula

Percent of markup=New price-Old price/Old price

Let plug in the formula

Percent of markup=$15.95-$4.87/$15.95

Percent of markup=$11.08/$15.95

Percent of markup=0.6947*100

Percent of markup=69.47%

Therefore the percent of markup is 69.47%

Answer:8

Step-by-step explanation:

We can expect 8 of the next 16 people to have black hair, based on the given information.

It is a branch of mathematics that deals with the occurrence of a random event.

Since 2 out of the total number of people who have already taken their seats at the seminar have black hair

we can assume that the probability of a person having black hair is 2 out of the total number of people who have taken their seats.

The probability of a person having black hair can be expressed as:

P(black hair) = 2/(2+2) = 1/2

This means that out of the total number of people who have already taken their seats, half of them have black hair.

If we assume that the next 16 people to take their seats are chosen randomly and independently from the population,

we can use the expected value formula to calculate the number of people with black hair we would expect among those 16 people:

Expected value = total number of people x probability of having black hair

Expected value = 16 x (1/2)

Expected value = 8

Therefore, we can expect 8 of the next 16 people to have black hair, based on the given information.

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Answer:

Natasha: $25000

Natalie: $40000

Nadia: $10000

Step-by-step explanation:

5 : 8 : 2

5 + 8 + 2 = 15

$75000 ÷ 15

$5000

$5000 × 5 = $25000

$5000 × 8 = $40000

$5000 × 2 = $10000

Answer:

Height is same for both the towers

Step-by-step explanation:

The computation is as follows;

For 1st tower

The height is

= 128 ÷ 4^2

= 8 inches

And,  

For the 2nd tower

The height is

= 288 ÷ 6^2

= 8 inches

So as we can see that the height of the both the tower is same i.e. 8 inches so the same should be considered

Answer:

Solution given:

perpendicular[p]=x

base[b]=11.6m

hypotenuse[h]=19.2m

by using Pythagoras law

h²=p²+b²

19.2²-11.6²=x²

x=[tex]\sqrt{234.08}[/tex]

x=15.3m

option

a.

15.3 m

Answer:

15.3 m

Step-by-step explanation:

c refers to the longest side (hypotenuse) whereas a and b referes to the two other smaller sides of atriangle.

pythagoras theorem

a^2 + b^2 = c^2

11.6^2 + x^2 = 19.2^2

134.56 + x^2 = 368.64

x^2 = 368.64 - 134.56

x^2 = 234.08

x=[tex]\sqrt{234.08[/tex]

x=15.29

x=15.3 m

Answer:

2.37 x 10 ^ -5

Step-by-step explanation:

Answer: B

Step-by-step explanation:

There are two x-intercepts: x = -√5 and x = √5. The answer is: 2 x-intercepts.

The x-intercept is defined as an intercept that is located at the x-axis of the plane, is the location or coordinate from where the line crosses.

To find the x-intercepts of the polynomial function f(x) = x⁴ - 5x², we set f(x) equal to zero and solve for x.

Setting f(x) = 0:

x⁴ - 5x² = 0

Factoring out the common term x²:

x²(x² - 5) = 0

Now we have two factors: x² = 0 and x² - 5 = 0.

For x² = 0, we have a double root at x = 0.

This means the graph touches the x-axis at x = 0 but does not cross it.

For x² - 5 = 0, we can solve for x by taking the square root:

x² = 5

x = ±√5

Therefore, there are two x-intercepts: x = -√5 and x = √5.

The answer is: 2 x-intercepts.

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Answer:

186

Step-by-step explanation:

Your entire surface area is

216

the area of the rectangle on the bottom is 30

substract 30 from 216

Answer:

No.

Step-by-step explanation:

#1, the sample size is not indicative of a proper high school population, unless of all there is a small amount of students in the high school (or even only 30 students in it). On a individual basis, it can vary widely, and so data analysis such as this is not correct. The data size is skewed as well for the college, especially as college campuses typically house more students then usual. To only ask 60 college students also skew the data gotten. Another sample error may be locational error, in which the location of the schools may warrant the need for a driver license, or if it is not needed, as well as the distance of the student's house and/or where needed facilities are to accommodate a student's needs and desires.

If we were to set all these problems aside and focus more on the question, 15 high school students said they could drive, and 15 said they could not, which makes the sample size of 30 high school students in all. 15 say they can drive, therefore:

15/30 = 1/2, or there is a 50% chance of obtaining a student that can drive.

On the other hand, out of 60 college students surveyed, 30 said they can drive, therefore:

30/60 = 1/2, or there is a 50% chance of obtaining a student that can drive.

∴ Micah's prediction is incorrect in obtaining a college student that can drive more easily then obtaining one that can drive in a high school.

However, remember that too small of a data size can lead to a heavy skew, and it will not represent reality as well.

~

Answer:

Sample Response: No, Micah is not correct. Since there are equal numbers in the group that drive and the group that doesn’t drive, the relative frequency for each is 50%. Because the relative frequencies are the same, there is no association between the variables.

Step-by-step explanation:

Got this from Edg 2021

Answer:Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.

Step-by-step explanation:

Answer:

Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.

Step-by-step explanation:

got it right on the quiz!!!

Answer:

y = 4x + b

Step-by-step explanation:

We know that (3, -2) is on this line. So 3 = m(-2)+b.

This leaves us with two variables the slope (m) and the y intercept (b).

But wait a minute, the slope is given to us since it says slope = 4.

Our equation is now, 3 = 4(-2)+b

3 = -8 + b

b = 11.

Our final equation is now y = 4x + b.

(y,x) is a point on this line.

Hope this helped!

JoeLouis2

True

Hope this helps! :)

______________

Answer:

option B

Step-by-step explanation:

[tex]x^2 - 2x + 17 = 0 \ , \ [ \ where \ a = 1 , \ b = - 2 \ c = 17 \ ][/tex]

[tex]x = \frac{- b \ \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{2 \ \pm \sqrt{2^2 - (4 \times 1 \times 17)}}{ 2 \times 1}\\\\x = \frac{2 \ \pm \sqrt{4 - 68}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{-64}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{8^2 \times -1}}{ 2 }\\\\x = \frac{2 \ \pm \ 8\sqrt{ -1}}{ 2 }\\\\[/tex]              

[tex]x = \frac{2 \ \pm\ 8 i}{ 2 }\\\\[/tex]                               [tex][ \ where \ i = \ \sqrt{i} \ ][/tex]

[tex]x = 1 \ \pm \ 4i\\\\x = 1 + 4i , \ x = 1 - 4i[/tex]

Answer:

O B.  [tex]x=1+4i[/tex] or [tex]x=1-4i[/tex]

Step-by-step explanation:

Use the Quadratic Formula for the Quadratic Equation!

Quadratic Equation: [tex]x^{2} -2x+17=0[/tex]

Quadratic Formula: [tex]x= \frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]

**********************************************************************

Now set up the values like this!

[tex]ax^{2} +bx+c[/tex]

**********************************************************************

[tex]x=\frac{-b±\sqrt{-2^2-(4(0)(17)} }{2(0)}[/tex]

[tex]x=\frac{-b±\sqrt{4-(1)} }{0}[/tex]

x = 1 - 4i

x = 1 + 4i

Answer:

perpendicular

Step-by-step explanation:

peripenducular looks like a plus sign. HOPE THIS HELPS!

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